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Last active May 9, 2022 12:17
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citlivostni_analyza_ODE.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "citlivostni_analyza_ODE.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyMFkCiavGXErN3Bq9psRBGr",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/robert-marik/6b2667e26c09d1b047efab66ace3a58d/citlivostni_analyza_ode.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"# Diferenciální rovnice logistického růstu"
],
"metadata": {
"id": "vozFrjBRhOy7"
}
},
{
"cell_type": "code",
"metadata": {
"id": "1s_NI2Gs5hEn"
},
"source": [
"import numpy as np # numericke funkce\n",
"import matplotlib.pyplot as plt # zakladni kresleni jednoduchych grafu\n",
"from scipy.integrate import solve_ivp # řešení diferenciálních rovnic\n",
"import pandas as pd # prace s tabulkami\n",
"import seaborn as sns # vizualizace dat z tabulek"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "-NylG7ijTu1l"
},
"source": [
"Diferenciální rovnice logistického růstu je $$\\frac{\\mathrm dx}{\\mathrm dt} = rx\\left(1-\\frac xK\\right).$$\n",
"Na této rovnici, která je základem modelování populační dynamicky snad ve všech modelech, si ukážeme jednoduchou analýzu ukazující, jak řešení závisí na parametrech.\n",
"\n",
"Budeme rovnici řešit numericky pro náhodné hodnoty parametrů rozptýlených okolo střední hodnoty. Buď rovnoměrně nebo s normálním rozložením. Toto by byl přístup metodou Monte Carlo nebo vícecestná citlivostní analýze. Jiná možnost je variovat jenom jeden parametr, potom by to byl přístup odpovídající parciálním derivacím podle parametrů nebo jednocestné citlivostní analýze.\n",
"\n",
"* Najdeme 1000 řešení pro různé hodnoty $r$ a $K$.\n",
"* Budeme si všímat hodnoty řešení v čase $t=10$ a budeme sledovat, jak tato hodnota závisí na $r$ a $K$.\n",
"* Zkusíme pomocí strojového učení najít model umožňující předpovědět hodnotu řešení v čase $t=10$ přímo, bez nutnosti řešit diferenciální rovnici. Použijeme lineární regresi.\n",
"* Porovnáme výstup z této regrese s linearizací analytického řešení."
]
},
{
"cell_type": "code",
"metadata": {
"id": "AjoVZnu75n1O"
},
"source": [
"# logisticka rovnice s nahodnynmi parametry\n",
"n = 1000\n",
"K = 20\n",
"r = .4\n",
"rrand = np.random.normal(0.4, 0.04, n) # normalni rozlozeni se zadanim prumeru, variability a poctu bodu, ktere se maji vygenerovat\n",
"Krand = np.random.normal(20, 2, n)\n",
"\n",
"rrand = np.random.uniform(0.36, 0.44, n) # rovnomerne rozlozeni se zadanim dolni a horni meze\n",
"Krand = np.random.uniform(18, 22, n)\n",
"\n",
"def logisticka_rovnice(x, t=0, K=1, r=1): # funkce z prave strany logisticke rovnice\n",
" \"\"\"\n",
" Funkce vraci hodnoty prave strany logisticke diferencialni rovnice pro \n",
" zadane hodnoty parametru r a K.\n",
" Formalne je mozno preda i parametr cas, ale funkce na case nezavisi. \n",
" \"\"\"\n",
" return r*x*(1-x/K)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 370
},
"id": "auxlKAia5qpO",
"outputId": "681e6b4d-f360-42be-a69f-5ee0553a67ce"
},
"source": [
"fig, (ax1, ax2) = plt.subplots(1,2, sharey=True,figsize=(15,5)) # budeme kreslit dva obrazky vedle sebe\n",
"\n",
"ax=ax1 # budeme kreslit do prvniho grafu\n",
"ax.hist(Krand, bins=40) # histogram pro prvni parametr s nastavenim poctu deleni\n",
"ax.set_xlabel('K') # vodorovna osa, popisek\n",
"ax.set_ylabel('pocet hodnot') # svisla osa, popisek\n",
"ax.set_title('Histogram pro parametr K') # Nazev\n",
"\n",
"ax=ax2 # budeme kreslit do druheho grafu\n",
"ax.hist(rrand, bins=40) # histogram pro druhy parametr s nastavenim poctu deleni\n",
"ax.set_xlabel('r') # vodorovna osa, popisek\n",
"ax.set_title('Histogram pro parametr r') # Nazev\n",
"fig.suptitle('Histogramy', fontsize=16)\n",
"plt.show(fig) # vykresleni obrazku"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"source": [
"V předchozím jsme vygenerovali náhodné hodnoty pro parametry. \n",
"Histogramy ukazují rozložení těchto hodnot. Vodorovně je rozsah hodnot a výška sloupce odpovídá, kolik bodů v našem náhodném vzorku odpovídá dané hodnotě."
],
"metadata": {
"id": "8F3txElniBNn"
}
},
{
"cell_type": "code",
"metadata": {
"id": "_q_txEtb6Bkt"
},
"source": [
"tmin = 0\n",
"tmax = 10\n",
"t = np.linspace(tmin, tmax, 100) # interval pro kreslení funkcí času"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "1u4lnzqm8-cG"
},
"source": [
"pocatecni_podminka = 2 # pocatecni podminka x(0)=2\n",
"interval = [tmin, tmax] # interval na kterem se bude hledat reseni\n",
"\n",
"def reseni(r,K,pocatecni_podminka=pocatecni_podminka,interval=interval, t_eval=t):\n",
" \"\"\"\n",
" Funkce vraci reseni logisticke diferencialni rovnice startujici\n",
" se zadanou pocatecni podminkou a na zadanem intervalu.\n",
" Je použita numerická integrace a řešení je vypočteno v bodech t_eval.\n",
" Vysledkem je objekt, jak ho vraci funkce solve.ivp, viz manual\n",
" ke knihovne SciPy.\n",
" \"\"\"\n",
" x = solve_ivp(lambda t,x : logisticka_rovnice(x,r=r,K=K), \\\n",
" interval, [pocatecni_podminka], t_eval=t)\n",
" # solve_ivp potrebuje jako argument funkci, kterou muze volat\n",
" # pro predavani parametru je mozne pouzit anonymni lambda funkci\n",
" return(x)\n",
"\n",
"# vypocteme reseni pro nahodne hodnoty parametru vygenerovane v predchozich krocich\n",
"sols = [reseni(ri,Ki) for ri,Ki in zip(rrand,Krand)]"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 514
},
"id": "JPPHp_Om9Om3",
"outputId": "1e9529d5-34b4-4f79-8695-583f566235bb"
},
"source": [
"fig = plt.figure(figsize=(12,8)) # pojmenovani obrazku pro kresleni\n",
"for sol in sols: # cyklus pres vsechna reseni\n",
" plt.plot(sol.t,sol.y[0], color='gray', alpha=0.02) # pridani reseni do obrazku\n",
"plt.xlabel(\"čas\")\n",
"plt.ylabel(\"velikost populace\")\n",
"plt.title(\"Řešení logistické rovnice pro různé hodnoty parametrů\")\n",
"plt.show(fig) # zobrazeni obrazku"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"source": [
"Pro posouzení a kvantifikaci vlivu parametrů na tvar křivky neni vhodné brát křivky jako celek, protože křivky jsou komplikované objekty. Výhodnější je pracovat s datovou řadou. Například se budeme zajímat o to, jaká je hodnota řešení na konci, tedy v čase 10."
],
"metadata": {
"id": "aDnTzDy8kG2I"
}
},
{
"cell_type": "code",
"metadata": {
"id": "TmoaKVAo9hzz"
},
"source": [
"last_point = [sol.y[0][-1] for sol in sols] # vektor z poslednich bodu jednotlivych reseni (cas t=10)\n"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"id": "cXSoFBv89tFU",
"outputId": "42b12287-f8da-4cdf-cfc8-c168e0276c2f"
},
"source": [
"plt.hist(last_point, bins=20) # histogram rozdeleni reseni podle hodnoty v case 10.\n",
"plt.title(\"Histogram získaných hodnot řešení na konci intervalu\")\n",
"plt.xlabel(\"Hodnota řešení v čase 10\")\n",
"plt.ylabel(\"Počet případů\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"id": "W4u0n6uXEX2L",
"outputId": "9b0bfa4c-0b7a-4493-cdc7-d8a121f9d137"
},
"source": [
"plt.scatter(Krand,last_point)\n",
"plt.xlabel(\"Parametr K\")\n",
"plt.ylabel(\"Hodnota řešení na konci simulace\")\n",
"plt.title(\"Hodnota řešení na konci v závislosti na parametru K\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"id": "wCZMd5-dEtU6",
"outputId": "577cebf5-649c-49a1-e7dd-6a1034e3a933"
},
"source": [
"plt.scatter(rrand, last_point, s=2) # nekdy je lepsi pouzit mensi body, \"s\" jako size\n",
"plt.xlabel(\"Parametr r\")\n",
"plt.ylabel(\"Hodnota řešení na konci simulace\")\n",
"plt.title(\"Hodnota řešení na konci v závislosti na parametru r\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"id": "hWu_9lXAFTJ1",
"outputId": "11bbbd0d-a926-4b1a-a125-02c30a392092"
},
"source": [
"plt.scatter(rrand, Krand)\n",
"plt.xlabel(\"Parametr r\")\n",
"plt.ylabel(\"Parametr K\")\n",
"plt.title(\"Použité hodnoty parametrů r a K v simulaci\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "hH1Io9tI6zmm"
},
"source": [
"\n",
"Pro náročnější zpracování dat se hodí speciální knihovny. Musíme do nich načíst data v požadavaném formátu, ale některé věci jsou potom jednodušší. Vytvoříme tabulku, kde jsou vedle sebe hodnoty parametrů a hodnota řešení na konci simulace.\n",
"\n"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 423
},
"id": "hD_VAhmwHKbq",
"outputId": "c01a5fb3-7336-4b8e-91ca-6618dfc908e7"
},
"source": [
"data=zip(rrand,Krand,last_point) # spojení dat k sobě\n",
"df = pd.DataFrame(data, columns=['r','K','end']) # převod na tabulku a pojmenování sloupců\n",
"df\n"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>r</th>\n",
" <th>K</th>\n",
" <th>end</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.382617</td>\n",
" <td>20.424646</td>\n",
" <td>17.012627</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.429472</td>\n",
" <td>20.702727</td>\n",
" <td>18.363211</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.406143</td>\n",
" <td>18.219930</td>\n",
" <td>15.990015</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.370870</td>\n",
" <td>20.286238</td>\n",
" <td>16.575492</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.364066</td>\n",
" <td>18.847866</td>\n",
" <td>15.439929</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>995</th>\n",
" <td>0.436389</td>\n",
" <td>19.100398</td>\n",
" <td>17.228399</td>\n",
" </tr>\n",
" <tr>\n",
" <th>996</th>\n",
" <td>0.409901</td>\n",
" <td>18.601722</td>\n",
" <td>16.353355</td>\n",
" </tr>\n",
" <tr>\n",
" <th>997</th>\n",
" <td>0.392694</td>\n",
" <td>19.556812</td>\n",
" <td>16.675982</td>\n",
" </tr>\n",
" <tr>\n",
" <th>998</th>\n",
" <td>0.377542</td>\n",
" <td>18.594396</td>\n",
" <td>15.625968</td>\n",
" </tr>\n",
" <tr>\n",
" <th>999</th>\n",
" <td>0.417437</td>\n",
" <td>20.568454</td>\n",
" <td>18.000342</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>1000 rows × 3 columns</p>\n",
"</div>"
],
"text/plain": [
" r K end\n",
"0 0.382617 20.424646 17.012627\n",
"1 0.429472 20.702727 18.363211\n",
"2 0.406143 18.219930 15.990015\n",
"3 0.370870 20.286238 16.575492\n",
"4 0.364066 18.847866 15.439929\n",
".. ... ... ...\n",
"995 0.436389 19.100398 17.228399\n",
"996 0.409901 18.601722 16.353355\n",
"997 0.392694 19.556812 16.675982\n",
"998 0.377542 18.594396 15.625968\n",
"999 0.417437 20.568454 18.000342\n",
"\n",
"[1000 rows x 3 columns]"
]
},
"metadata": {},
"execution_count": 12
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"id": "EZGSngoQie2R",
"outputId": "c6bec1ee-6655-4c90-b35a-9c693868d421"
},
"source": [
"sns.scatterplot(data=df, x=\"r\", y=\"end\", hue='K')\n",
"plt.xlabel(\"Parametr r\")\n",
"plt.ylabel(\"Řešení na konci simulace\")\n",
"plt.title(\"Závislost hodnoty na konci simulace na parametrech\")\n",
"plt.gca().get_legend().set_title(\"Parametr K\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"id": "ZYNlttmSHdBa",
"outputId": "f04b7112-31f1-4bbf-f0eb-8c76632561a0"
},
"source": [
"sns.regplot(data=df, x=\"K\", y=\"end\", scatter_kws={'s':2})\n",
"# jina varianta prikazu kresli i regresni primku\n",
"plt.xlabel(\"Parametr K\")\n",
"plt.ylabel(\"Řešení na konci simulace\")\n",
"plt.title(\"Závislost hodnoty na konci simulace na parametru K\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"source": [
"Následující obrázke ukazuje použité hodnoty parametrů v simulacích a dává představu, jak parametry ovlivňují finální hodnotu. Tmavší body jsou vpravo nahoře a hodnota na konci simulace je tedy rostoucí funkcí obou parametrů."
],
"metadata": {
"id": "2F725XSDnnd_"
}
},
{
"cell_type": "code",
"metadata": {
"id": "AjF_LRBlIYre",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 296
},
"outputId": "e2fcab28-2bce-4cbb-f471-cd250055cde4"
},
"source": [
"sns.scatterplot(data=df, x=\"K\", y=\"r\", hue='end')\n",
"plt.xlabel(\"Parametr K\")\n",
"plt.ylabel(\"Parametr r\")\n",
"plt.title(\"Použité hodnoty parametrů r a K v simulaci\")\n",
"plt.legend(loc=(1.04,0)) # legendu nakreslíme mimo data\n",
"# viz https://stackoverflow.com/questions/4700614/how-to-put-the-legend-out-of-the-plot\n",
"plt.gca().get_legend().set_title(\"Hodnota řešení\\n na konci simulace\")\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "kNfty6DDkAH9"
},
"source": [
"# Lineární regrese\n",
"\n",
"Jednoduché strojové učení. Počítač vezme našich 1000 výpočtů a najde pravidlo, jak k hodnotám $r$ a $K$ najít hodnotu řešení v bodě $t=10$, aniž by bylo potřeba znovu řešit rovnici."
]
},
{
"cell_type": "code",
"metadata": {
"id": "g7vbAMEXnmL4",
"outputId": "60615efc-8b67-4179-a691-11bdcefc5d45",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"# podle https://www.w3schools.com/python/python_ml_multiple_regression.asp\n",
"from sklearn import linear_model\n",
"X = df[['r', 'K']] # vstupni data, nezavisle promenne\n",
"y = df['end'] # vystup, zavisla promenna\n",
"\n",
"regr = linear_model.LinearRegression()\n",
"regr.fit(X.values, y.values) # fitovani modelu\n",
"print(regr.coef_, regr.intercept_) # vypis koeficientu (smernice a hodnota v nule)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"[24.45096735 0.71981721] -7.058616571058391\n"
]
}
]
},
{
"cell_type": "markdown",
"source": [
"Níže tabulka s předpovědí, s numerickým porovnáním předpovědi a cílové hodnoty. Pro kontrolu je v tabulce i srovnání s analytickým řešením"
],
"metadata": {
"id": "jcmlgLjnpwUf"
}
},
{
"cell_type": "code",
"metadata": {
"id": "5ijh1SofoR8M",
"outputId": "e8cb060f-b504-4930-f439-08a317c97ebb",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 423
}
},
"source": [
"df['predpoved']=df.apply(lambda x: regr.predict([[x.r,x.K]])[0], axis=1) # vypocet predpovedi podel modelu\n",
"df['chyba_predpovedi'] = np.abs(df.predpoved - df.end) # odchylka predpovedi od skutecne hodnoty\n",
"df"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>r</th>\n",
" <th>K</th>\n",
" <th>end</th>\n",
" <th>predpoved</th>\n",
" <th>chyba_predpovedi</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.382617</td>\n",
" <td>20.424646</td>\n",
" <td>17.012627</td>\n",
" <td>16.998751</td>\n",
" <td>0.013876</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.429472</td>\n",
" <td>20.702727</td>\n",
" <td>18.363211</td>\n",
" <td>18.344579</td>\n",
" <td>0.018633</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.406143</td>\n",
" <td>18.219930</td>\n",
" <td>15.990015</td>\n",
" <td>15.987001</td>\n",
" <td>0.003014</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.370870</td>\n",
" <td>20.286238</td>\n",
" <td>16.575492</td>\n",
" <td>16.611891</td>\n",
" <td>0.036399</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.364066</td>\n",
" <td>18.847866</td>\n",
" <td>15.439929</td>\n",
" <td>15.410179</td>\n",
" <td>0.029750</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>995</th>\n",
" <td>0.436389</td>\n",
" <td>19.100398</td>\n",
" <td>17.228399</td>\n",
" <td>17.360310</td>\n",
" <td>0.131911</td>\n",
" </tr>\n",
" <tr>\n",
" <th>996</th>\n",
" <td>0.409901</td>\n",
" <td>18.601722</td>\n",
" <td>16.353355</td>\n",
" <td>16.353688</td>\n",
" <td>0.000333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>997</th>\n",
" <td>0.392694</td>\n",
" <td>19.556812</td>\n",
" <td>16.675982</td>\n",
" <td>16.620452</td>\n",
" <td>0.055530</td>\n",
" </tr>\n",
" <tr>\n",
" <th>998</th>\n",
" <td>0.377542</td>\n",
" <td>18.594396</td>\n",
" <td>15.625968</td>\n",
" <td>15.557212</td>\n",
" <td>0.068755</td>\n",
" </tr>\n",
" <tr>\n",
" <th>999</th>\n",
" <td>0.417437</td>\n",
" <td>20.568454</td>\n",
" <td>18.000342</td>\n",
" <td>17.953657</td>\n",
" <td>0.046685</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>1000 rows × 5 columns</p>\n",
"</div>"
],
"text/plain": [
" r K end predpoved chyba_predpovedi\n",
"0 0.382617 20.424646 17.012627 16.998751 0.013876\n",
"1 0.429472 20.702727 18.363211 18.344579 0.018633\n",
"2 0.406143 18.219930 15.990015 15.987001 0.003014\n",
"3 0.370870 20.286238 16.575492 16.611891 0.036399\n",
"4 0.364066 18.847866 15.439929 15.410179 0.029750\n",
".. ... ... ... ... ...\n",
"995 0.436389 19.100398 17.228399 17.360310 0.131911\n",
"996 0.409901 18.601722 16.353355 16.353688 0.000333\n",
"997 0.392694 19.556812 16.675982 16.620452 0.055530\n",
"998 0.377542 18.594396 15.625968 15.557212 0.068755\n",
"999 0.417437 20.568454 18.000342 17.953657 0.046685\n",
"\n",
"[1000 rows x 5 columns]"
]
},
"metadata": {},
"execution_count": 17
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Kfbv0taHq3Xt",
"outputId": "3be87338-ca5f-4105-fe94-f0b5e76729ee",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 433
}
},
"source": [
"plt.hist(df.chyba_predpovedi, bins=20) # rozdeleni chyb predpovedi"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(array([107., 125., 126., 179., 184., 112., 39., 17., 18., 20., 6.,\n",
" 8., 18., 12., 10., 2., 6., 4., 4., 3.]),\n",
" array([4.26356085e-05, 1.32196197e-02, 2.63966039e-02, 3.95735880e-02,\n",
" 5.27505721e-02, 6.59275562e-02, 7.91045403e-02, 9.22815245e-02,\n",
" 1.05458509e-01, 1.18635493e-01, 1.31812477e-01, 1.44989461e-01,\n",
" 1.58166445e-01, 1.71343429e-01, 1.84520413e-01, 1.97697397e-01,\n",
" 2.10874382e-01, 2.24051366e-01, 2.37228350e-01, 2.50405334e-01,\n",
" 2.63582318e-01]),\n",
" <a list of 20 Patch objects>)"
]
},
"metadata": {},
"execution_count": 18
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "IBDg6rt6q9Et"
},
"source": [
"def reseni_logisticke_rovnice(t,K=1,r=1,t0=0,x0=1):\n",
" return(K*x0*np.exp(r*t) / (K+x0*(np.exp(r*t)-1))) # Analyticke reseni logisticke rovnice c pocatecni podminkou x(0)=x0"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "xscAdlGMrRdh",
"outputId": "0dbf8129-e093-47ab-9d99-5bee0a57cebe",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 423
}
},
"source": [
"df['analyticky']=df.apply(lambda x: reseni_logisticke_rovnice(10,K=x.K,r=x.r,t0=0,x0=2), axis=1)\n",
"df['rozdil'] = df.analyticky - df.end # kontrola kvality numerickeho reseni (a spravnosti zapisu analytickeho reseni)\n",
"df"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>r</th>\n",
" <th>K</th>\n",
" <th>end</th>\n",
" <th>predpoved</th>\n",
" <th>chyba_predpovedi</th>\n",
" <th>analyticky</th>\n",
" <th>rozdil</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.382617</td>\n",
" <td>20.424646</td>\n",
" <td>17.012627</td>\n",
" <td>16.998751</td>\n",
" <td>0.013876</td>\n",
" <td>17.009717</td>\n",
" <td>-0.002910</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.429472</td>\n",
" <td>20.702727</td>\n",
" <td>18.363211</td>\n",
" <td>18.344579</td>\n",
" <td>0.018633</td>\n",
" <td>18.360713</td>\n",
" <td>-0.002498</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.406143</td>\n",
" <td>18.219930</td>\n",
" <td>15.990015</td>\n",
" <td>15.987001</td>\n",
" <td>0.003014</td>\n",
" <td>15.986763</td>\n",
" <td>-0.003252</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.370870</td>\n",
" <td>20.286238</td>\n",
" <td>16.575492</td>\n",
" <td>16.611891</td>\n",
" <td>0.036399</td>\n",
" <td>16.572471</td>\n",
" <td>-0.003021</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.364066</td>\n",
" <td>18.847866</td>\n",
" <td>15.439929</td>\n",
" <td>15.410179</td>\n",
" <td>0.029750</td>\n",
" <td>15.436405</td>\n",
" <td>-0.003524</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>995</th>\n",
" <td>0.436389</td>\n",
" <td>19.100398</td>\n",
" <td>17.228399</td>\n",
" <td>17.360310</td>\n",
" <td>0.131911</td>\n",
" <td>17.225666</td>\n",
" <td>-0.002733</td>\n",
" </tr>\n",
" <tr>\n",
" <th>996</th>\n",
" <td>0.409901</td>\n",
" <td>18.601722</td>\n",
" <td>16.353355</td>\n",
" <td>16.353688</td>\n",
" <td>0.000333</td>\n",
" <td>16.350225</td>\n",
" <td>-0.003130</td>\n",
" </tr>\n",
" <tr>\n",
" <th>997</th>\n",
" <td>0.392694</td>\n",
" <td>19.556812</td>\n",
" <td>16.675982</td>\n",
" <td>16.620452</td>\n",
" <td>0.055530</td>\n",
" <td>16.672911</td>\n",
" <td>-0.003071</td>\n",
" </tr>\n",
" <tr>\n",
" <th>998</th>\n",
" <td>0.377542</td>\n",
" <td>18.594396</td>\n",
" <td>15.625968</td>\n",
" <td>15.557212</td>\n",
" <td>0.068755</td>\n",
" <td>15.622471</td>\n",
" <td>-0.003497</td>\n",
" </tr>\n",
" <tr>\n",
" <th>999</th>\n",
" <td>0.417437</td>\n",
" <td>20.568454</td>\n",
" <td>18.000342</td>\n",
" <td>17.953657</td>\n",
" <td>0.046685</td>\n",
" <td>17.997726</td>\n",
" <td>-0.002616</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>1000 rows × 7 columns</p>\n",
"</div>"
],
"text/plain": [
" r K end ... chyba_predpovedi analyticky rozdil\n",
"0 0.382617 20.424646 17.012627 ... 0.013876 17.009717 -0.002910\n",
"1 0.429472 20.702727 18.363211 ... 0.018633 18.360713 -0.002498\n",
"2 0.406143 18.219930 15.990015 ... 0.003014 15.986763 -0.003252\n",
"3 0.370870 20.286238 16.575492 ... 0.036399 16.572471 -0.003021\n",
"4 0.364066 18.847866 15.439929 ... 0.029750 15.436405 -0.003524\n",
".. ... ... ... ... ... ... ...\n",
"995 0.436389 19.100398 17.228399 ... 0.131911 17.225666 -0.002733\n",
"996 0.409901 18.601722 16.353355 ... 0.000333 16.350225 -0.003130\n",
"997 0.392694 19.556812 16.675982 ... 0.055530 16.672911 -0.003071\n",
"998 0.377542 18.594396 15.625968 ... 0.068755 15.622471 -0.003497\n",
"999 0.417437 20.568454 18.000342 ... 0.046685 17.997726 -0.002616\n",
"\n",
"[1000 rows x 7 columns]"
]
},
"metadata": {},
"execution_count": 20
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "rnPshS0pwcqM",
"outputId": "e9a27254-23c5-4104-c17a-71e3ce8d6786",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"rs=np.array([r-0.001,r,r+0.001]) # interval okolo hodnoty r\n",
"data = [reseni_logisticke_rovnice(10,K=K,r=i,t0=0,x0=pocatecni_podminka) for i in rs] # vypocet funkcnich hodnot pro jednotlive hodnoty r\n",
"dr = np.gradient(data,rs)[1] # vypocet parcialni derivace v bode r\n",
"dr"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"24.297602840313438"
]
},
"metadata": {},
"execution_count": 21
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "BHMI8AOJuUkw",
"outputId": "ddf008e2-a824-470d-c25a-b0d66291b5ce",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"Ks = np.array([K-0.001,K,K+0.001])\n",
"data = [reseni_logisticke_rovnice(10,K=i,r=r,t0=0,x0=pocatecni_podminka) for i in Ks]\n",
"dK = np.gradient(data,Ks)[1]\n",
"dK"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"0.7235003772008182"
]
},
"metadata": {},
"execution_count": 22
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "QFAJ_sw_wJbB",
"outputId": "424f1e61-996f-4213-f09d-7e0bc604004b",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"prusecik = reseni_logisticke_rovnice(10,K=K,r=r,t0=0,x0=pocatecni_podminka)-dr*r-dK*K \n",
"# prusecik, podle obecne formule pro linearni aproximaci funkce dvou promennych\n",
"prusecik"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"-7.019319684977459"
]
},
"metadata": {},
"execution_count": 23
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "VkDY7Kbjwn_6",
"outputId": "e504cd39-1d65-4096-94b0-7905819cacf2",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"print([dr,dK],prusecik)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"[24.297602840313438, 0.7235003772008182] -7.019319684977459\n"
]
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ir9GZ5VIv1x_",
"outputId": "ff53a772-6408-4f3f-97fd-876635796e98",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"source": [
"print(regr.coef_, regr.intercept_)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"[24.45096735 0.71981721] -7.058616571058391\n"
]
}
]
},
{
"cell_type": "code",
"source": [
""
],
"metadata": {
"id": "5xglhCGpdeHV"
},
"execution_count": null,
"outputs": []
}
]
}
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