{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"[](https://mybinder.org/v2/git/https%3A%2F%2Fgitlab.dsi.universite-paris-saclay.fr%2Fbruno.denis%2Fintro_jupyter/HEAD?labpath=notebooks%2Flokta_volterra_plotly.ipynb)\n",
"[](https://nbviewer.org/urls/gitlab.dsi.universite-paris-saclay.fr/bruno.denis/intro_jupyter/-/raw/main/notebooks/lokta_volterra_plotly.ipynb) \n",
"\n",
"# Équations Lotka-Volterra avec `plotly`\n",
"\n",
"Ce carnet Jupyter a pour objectif de résoudre un système d'équations différentielles ordinaire (ODE).\n",
"\n",
"Sa fonctionnalité majeure est :\n",
"- **Interactivité** avec des graphiques par utilisation du module `plotly`"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"## Modèle\n",
"\n",
"Également connues sous le nom d'équations prédateur-proie, elles décrivent la variation des populations de deux espèces qui interagissent par le biais de la prédation. Il s'agit d'un modèle classique pour représenter la dynamique de deux populations où $x$ représente la quantité des proies et $y$ celles des prédateurs.\n",
"\n",
"$$\n",
"\\left \\{\n",
"\\begin{array}{rcl}\n",
"\\dot{x} &=& \\alpha x - \\beta x y \\\\\n",
"\\dot{y} &=& -\\delta y + \\gamma x y\n",
"\\end{array}\n",
"\\right .\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"## Codage\n",
"\n",
"Importation des modules Python nécessaires."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": [
"hide-cell"
]
},
"outputs": [],
"source": [
"import numpy\n",
"import scipy\n",
"import plotly.subplots\n",
"import plotly.graph_objects as go"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "subslide"
},
"tags": []
},
"source": [
"Classe qui code le système d'équations différentielles dans la méthode `derivative()` et qui le résous avec la méthode `solutions()`"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "subslide"
},
"tags": [
"hide-cell"
]
},
"outputs": [],
"source": [
"class lotka_volterra_model():\n",
" \"\"\"Model of Lotka-Volterra.\"\"\"\n",
" \n",
" def __init__(self, alpha=1, beta=1, delta=0.8, gamma=1):\n",
" \"\"\"Initializes model parameters.\"\"\"\n",
" self.alpha = alpha\n",
" self.beta = beta\n",
" self.delta = delta\n",
" self.gamma = gamma\n",
"\n",
" def derivative(self, t, X):\n",
" \"\"\"Returns derivative values.\"\"\"\n",
" x, y = X\n",
" x_dot = x * (self.alpha - self.beta * y)\n",
" y_dot = y * (-self.delta + self.gamma * x)\n",
" return (x_dot, y_dot)\n",
"\n",
" def solution(self, t_init, t_final, x_init, y_init):\n",
" \"\"\"Returns temporal solution for t in [t_init, t_final].\"\"\"\n",
" sol = scipy.integrate.solve_ivp(\n",
" self.derivative, \n",
" [t_init, t_final], \n",
" [x_init, y_init],\n",
" rtol = 1.0e-7,\n",
" atol = 1.0e-7,\n",
" )\n",
" return sol.t, sol.y[0], sol.y[1]"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "subslide"
},
"tags": []
},
"source": [
"Résolution des équations pour $t \\in [t_{init}, t_{final}]$ avec les conditions initiales suivantes $x=2$ (proie) et $y=1$ (prédateur), et préparation de la figure pour monter $x(t)$ et $y(t)$ avec la bibliothèque Python `plotly`."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": [
"hide-output"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"les deux courbes sont tracées\n"
]
}
],
"source": [
"t_init, t_final = 0, 30\n",
"prey_init, pred_init = 2, 1\n",
"\n",
"lvm = lotka_volterra_model(delta=0.4)\n",
"t, prey, pred = lvm.solution(t_init, t_final, prey_init, pred_init)\n",
"\n",
"fig = go.Figure()\n",
"fig.update_layout(\n",
" width=700,\n",
" height=450,\n",
" xaxis_title=\"temps\",\n",
" yaxis_title=\"population\",\n",
")\n",
"\n",
"fig.add_trace(go.Scatter(x=t, y=prey, name=\"Proies\"))\n",
"fig.add_trace(go.Scatter(x=t, y=pred, name=\"Prédateurs\"))\n",
"\n",
"print(\"les deux courbes sont tracées\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "subslide"
},
"tags": []
},
"source": [
"Affichage de l'évolution des proies $x$ et des prédateurs $y$. Les courbes sont interactives à l'aide de la bibliothèque JavaScript `plotly.js` sous-jacente. Sans code supplémentaire, l'utilisateur peut accéder aux données en promenant simplement le pointeur de la souris le long des courbes."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
" \n",
" "
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"output_type": "display_data"
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",
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]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "subslide"
},
"tags": []
},
"source": [
"Construction d'une nouvelle figure composée de deux sous figures, l'évolution temporelle de $x(t)$ (proie) et $y(t)$ (prédateur), et le lieu du point $P(x, y)$ dans le repère $xOy$ (phase)."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"plotly.graph_objs._figure.Figure"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"t_init, t_final = 0, 30\n",
"prey_init, pred_init = 2, 1\n",
"\n",
"prey_max, pred_max = 0, 0\n",
"\n",
"fig = plotly.subplots.make_subplots(\n",
" rows=2,\n",
" cols=1,\n",
" subplot_titles=(\"Evolution temporelle\", \"Phase\"),\n",
" # vertical_spacing=0.15,\n",
")\n",
"\n",
"lvm = lotka_volterra_model(delta=1.0)\n",
"t, prey, pred = lvm.solution(t_init, t_final, prey_init, pred_init)\n",
"fig.add_trace(go.Scatter(x=t, y=prey, name=\"Proies\"), row=1, col=1)\n",
"fig.add_trace(go.Scatter(x=t, y=pred, name=\"Prédateurs\"), row=1, col=1)\n",
"fig.add_trace(go.Scatter(x=prey, y=pred, showlegend=False), row=2, col=1)\n",
"fig.update_layout(height=550, width=700)\n",
"\n",
"type(fig)"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "subslide"
},
"tags": []
},
"source": [
"Les courbes d'évolution temporelle de $x$ (proie), $y$ (prédateur) et le lieu du point $P(x,y)$ (phase) sont calculées pour plusieurs valeurs du paramètre $\\delta \\in \\{0.2, 0.25, 0.3, 0.35 \\dots 1.2\\}$ et stockées dans la liste `steps`."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [],
"source": [
"delta = numpy.arange(0.2, 1.25, 0.05)\n",
"steps = list()\n",
"\n",
"for d in delta:\n",
" lvm = lotka_volterra_model(delta=d)\n",
" t, prey, pred = lvm.solution(t_init, t_final, prey_init, pred_init)\n",
" prey_max, pred_max = max(prey_max, *prey), max(pred_max, *pred)\n",
" step = dict(\n",
" method=\"update\",\n",
" label = f\"{d:.2f}\", \n",
" args=[{\"x\": [t, t, prey], \"y\": [prey, pred, pred]}],\n",
" )\n",
" steps.append(step)\n",
"\n",
"popul_max = max(prey_max, pred_max)"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "subslide"
},
"tags": []
},
"source": [
"La taille des sous-figures est adaptée aux valeurs maximales des données précalculées."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Valeurs maximales\n",
" proie x = 2.0\n",
" prédateur y= 3.6281392945583772\n"
]
}
],
"source": [
"fig.update_xaxes(title_text=\"temps\", row=1, col=1)\n",
"fig.update_yaxes(title_text=\"Population\", range=[0, popul_max], row=1, col=1)\n",
"fig.update_xaxes(title_text=\"Proie\", range=[0, prey_max], row=2, col=1)\n",
"fig.update_yaxes(title_text=\"Prédateur\", range=[0, pred_max], row=2, col=1)\n",
"\n",
"print(\"Valeurs maximales\")\n",
"print(\" proie x =\", prey_max)\n",
"print(\" prédateur y=\", pred_max)\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "subslide"
},
"tags": []
},
"source": [
"Un curseur est ajouté à la figure pour sélectionner les courbes précalculées à afficher. L'interactivité de la figure avec l'utilisateur est accrue, il n'y a cependant pas d'interaction avec le noyau d'exécution Python, seules des données déjà calculées peuvent s'afficher."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"curseur ajouté\n"
]
}
],
"source": [
"sliders = [dict(currentvalue={'prefix': 'delta = '}, steps=steps)]\n",
"\n",
"fig.update_layout(sliders=sliders)\n",
"\n",
"print(\"curseur ajouté\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "subslide"
},
"tags": []
},
"source": [
"L'interactivité de la figure avec l'utilisateur est accrue, il n'y a cependant pas d'interaction avec le noyau d'exécution Python, seules des données déjà calculées peuvent s'afficher."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
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"data": {
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.9"
}
},
"nbformat": 4,
"nbformat_minor": 4
}