Commit 4cbf65a9 authored by Ludovic Mailleret's avatar Ludovic Mailleret
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Update biomaths_mam4_LV.ipynb

parent d483aa07
%% Cell type:markdown id:rural-lesbian tags:
 
# Notebook d'aide/correction pour la séance EPU MAM4 Biomaths (suite 3)
 
*séance du 22/03/2021*
 
*Ludovic Mailleret, Mars 2021*
 
## Populations en interaction : le modèle proies-prédateurs de Lotka et Volterra
 
### Dynamiques et plan de phase
 
Nous considérons le modèle de dynamique de populations (classique) de Lotka et Volterra
 
$$
\left\{\begin{array}{l}
\dot x = rx - c xy\\
\dot y = bxy - m y
\end{array}\right.
$$
 
Il n'y a pas de difficulté particulière à la simulation par rapport au modèle de la tordeuxe du bourgeon de l'épinette avec population d'oiseaux variables.
 
%% Cell type:code id:going-christmas tags:
 
``` python
# on nettoie l'espace de travail et on reload les modules
%reset -f
 
import numpy as np
import matplotlib.pyplot as plt
from scipy.integrate import odeint
 
 
# script de simulation
# densités initiales des populations
x0 = 1
y0 = 2.5
 
# encapsulation de la densité initiale
etat0_LV = np.array([x0, y0])
 
# définition d'un vecteur tspan pour tracer E_varie()
t_0 = 0 # temps initial
t_fin = 30.0 # temps final, ici on prend un temps final long pour observer les dynamiques lentes
pas_t = 0.01 # pas de temps de récupération des variables entre t_0 et t_fin
 
# définition du tspan
tspan = np.arange(t_0, t_fin, pas_t)
 
# paramètres du modèle
r = 1.0
c = 1.0
b = 1.0
m = 1.0
 
# encapsulation des paramètres dans un array
params_LV = np.array([r, c, b, m])
 
 
# définition du modèle de Lotka Volterra
def modele_LV(etat, t, params):
x, y = etat # recupere les variables d'etat
r_l, c_l, b_l, m_l = params # recupere les parametres
etatdot = [r_l*x - c_l*x*y, # dot x
b_l*x*y - m_l*y] # dot y
return etatdot # renvoie la derivee
 
 
# simulation proprement dite
int_LV = odeint(modele_LV, etat0_LV, tspan, args=(params_LV,), hmax=pas_t)
```
 
%% Cell type:markdown id:automatic-counter tags:
 
A priori, tout est OK:
 
%% Cell type:code id:incorporate-identification tags:
 
``` python
int_LV
```
 
%%%% Output: execute_result
 
array([[1. , 2.5 ],
[0.98511256, 2.4998135 ],
[0.97045034, 2.4992576 ],
...,
[0.30945175, 0.61472634],
[0.31065286, 0.61049964],
[0.31187176, 0.60630933]])
 
%% Cell type:markdown id:southwest-cannon tags:
 
Nous pouvons passer à la représentation graphique, d'abord en fonction du temps:
 
%% Cell type:code id:australian-catch tags:
 
``` python
# création d'une figure, et d'un système d'axe
fig1, ax1 = plt.subplots(1, 1, figsize=(14, 8))
 
# titre de la figure
fig1.suptitle("Dynamiques Proies - Prédateurs\n modèle de Lotka Volterra", va='top', fontsize='18')
 
# tracé de x et y contre le temps
ax1.plot(tspan, int_LV[:, 0], color = 'C0', label = "proies $x$")
ax1.plot(tspan, int_LV[:, 1], color = 'C1', label = "prédateurs $y$")
 
# labellisation des axes
ax1.set_xlabel('temps', fontsize='16')
ax1.set_ylabel('densités de populations', fontsize='16')
 
# légende
ax1.legend(fontsize='14')
 
# modification éventuelle des bornes des axes
ax1.set_ylim(bottom=None, top=None)
 
# ajout d'une grille
ax1.grid()
```
 
%%%% Output: display_data
 
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)
 
%% Cell type:markdown id:wired-serum tags:
 
Il est intéressant aussi de représenter les trajectoires dans l'espace d'état $(x,y)$, en combinaison avec une analyse qualitative du plan de phase (isoclines nulles, équilibres), une représentation du champs de vecteurs et de quelques morceaux de trajectoires sur le plan.
 
Commençons par calculer les isoclines nulles et les équilibres.
 
%% Cell type:code id:appreciated-inquiry tags:
 
``` python
# array annexes pour le calcul et la représentation des isoclines nulles
xplot = np.arange(0, 3, .1)
yplot = np.arange(0, 3, .1)
 
# isoclines nulles de xdot
null_x_x = np.zeros_like(yplot) # x = 0 isocline nulle de xdot
null_x_y = np.ones_like(xplot)*(r/c) # y = r/c isocline nulle de xdot
 
# isoclines nulles de ydot
null_y_y = np.zeros_like(xplot) # y = 0 isocline nulle de ydot
null_y_x = np.ones_like(yplot)*(m/b) # x = m/b isocline nulle de ydot
 
# équilibres
eq_extinct = [0, 0]
eq_coex = [r/c, m/b]
```
 
%% Cell type:markdown id:cooked-maria tags:
 
Puis on commence à tracer le plan de phase:
 
%% Cell type:code id:unnecessary-rotation tags:
 
``` python
# création d'une figure, et d'un système d'axe
fig2, ax2 = plt.subplots(1, 1, figsize=(14, 8))
 
# titre de la figure
fig2.suptitle("Dynamiques Proies - Prédateurs\n modèle de Lotka Volterra", va='top', fontsize='18')
 
# tracé des isoclines nulles, des équilibres, et de la trajectoire simulée
# isoclines nulles de x
ax2.plot(null_x_x, yplot, color = 'C2')
ax2.plot(xplot, null_x_y, color = 'C2', label = "isoclines nulles de $\dot x$")
# isoclines nulles de y
ax2.plot(xplot, null_y_y, color = 'C1')
ax2.plot(null_y_x, yplot, color = 'C1', label = "isoclines nulles de $\dot y$")
 
# équilibres
ax2.plot(eq_extinct[0], eq_extinct[1], marker ='.', color = 'C3', markersize = 16)
ax2.plot(eq_coex[0], eq_coex[1], marker ='.', color = 'C0', markersize = 16)
# trajectoires
ax2.plot(int_LV[:, 0], int_LV[:, 1], color = 'C0', linewidth = 3, label = "trajectoire")
 
# labellisation des axes
ax2.set_xlabel('Proies $x$', fontsize='16')
ax2.set_ylabel('Prédateurs $y$', fontsize='16')
 
# légende
ax2.legend(fontsize='14', loc = "upper right")
 
# modification éventuelle des bornes des axes
ax2.set_ylim(bottom=-.1, top=None)
ax2.set_xlim(left=-.1, right=None);
```
 
%%%% Output: display_data
 
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)
 
%% Cell type:markdown id:international-iraqi tags:
 
Il est intéressant (et joli) de surimposer sur cette figure une représentation du champs de vecteur et quelques idées de trajectoire.
 
Pour cela il nous faut définir une grille de valeurs dans le plan $(x,y)$ et utiliser la méthode `quiver()` des systèmes d'axes (champs de vecteurs) et la méthode `streamplot()` (échantillons de trajectoires).
 
La définition de la grille se fait par la fonction `meshgrid()` de `numpy` sur la base d'`array` définissant l'amplitude et le pas des variations de $x$ et $y$.
 
%% Cell type:code id:fantastic-significance tags:
 
``` python
# définition de l'échantillonnage selon $x$ et $y$
x_grid = np.linspace(0.1, 3.0, 10) # au passage on change un peu de np.arange()
y_grid = np.linspace(0.1, 3.0, 10)
 
# grille X,Y selon x_grid et y_grid
X, Y = np.meshgrid(x_grid, y_grid)
```
 
%% Cell type:markdown id:color-overall tags:
 
On calcule ensuite les valeurs des dérivées $\dot x$ et $\dot y$ sur cette grille:
 
%% Cell type:code id:compatible-oakland tags:
 
``` python
# dérivées dot_x et dot_y sur la grille
dx, dy = modele_LV([X, Y], 0, params_LV)
```
 
%% Cell type:markdown id:possible-visitor tags:
 
A partir de là on peut tracer le champs de vecteur et l'échantillon de trajectoires dans le système d'axes `ax2`:
 
%% Cell type:code id:stupid-thong tags:
 
``` python
# tracé du champs de vecteurs
# Attention à l'option angle ='xy' les fleches sont tracees avec orientation en unité naturelle de l'ecran
# et pas en unité naturelle de la figure
ax2.quiver(X, Y, dx, dy, angles = 'xy', color = 'grey', width = .002)
 
# tracé des échantillons de trajectoires
ax2.streamplot(X, Y, dx, dy, density = 0.4, maxlength = 0.25, color = "purple")
 
# on réaffiche la figure
display(fig2)
```
 
%%%% Output: display_data
 
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)
 
%% Cell type:markdown id:individual-cooperation tags:
 
 
### Intégrale première
 
Finalement, nous représentons l'intégrale première de ce système.
 
%% Cell type:code id:superior-moderator tags:
 
``` python
# définition de la fonction conservée au cours du temps dans le modèle de Lotka Volterra
def int_premiere(etat, params):
x, y = etat # recupere les variables d'etat
r_l, c_l, b_l, m_l = params # recupere les parametres
H_xy = -r_l*np.log(y) + c_l*y - m_l*np.log(x) + b_l*x # calcule la valeur de la fonction
return H_xy
```
 
%% Cell type:markdown id:acknowledged-stamp tags:
 
On peut vérifier la constance de cette quantité au cours du temps:
 
%% Cell type:code id:enclosed-stereo tags:
 
``` python
# création d'une figure, et d'un système d'axe
fig3, ax3 = plt.subplots(1, 1, figsize=(14, 8))
 
# titre de la figure
fig3.suptitle("Intégrale première au cours du temps\n modèle de Lotka Volterra", va='top', fontsize='18')
 
# tracé des isoclines nulles, des équilibres, et de la trajectoire simulée
# isoclines nulles de x
ax3.plot(tspan, int_premiere([int_LV[:,0], int_LV[:,1]], params_LV))
 
# limites des axes
ax3.set_ylim(bottom=0, top=3)
 
# labellisation des axes
ax3.set_xlabel('Intégrale première', fontsize='16')
ax3.set_ylabel('Temps', fontsize='16')
 
# ajout d'une grille
ax3.grid()
```
 
%%%% Output: display_data
 
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)
 
%% Cell type:markdown id:romantic-providence tags:
 
Et finalement représenter ces quantités en 3D, en fonction des valeurs de $x$ et $y$. Pour cela nous utilisons une grille, comme plus haut pour le plan de phase, et evaluons la fonction sur cette grille.
 
%% Cell type:code id:unavailable-venice tags:
 
``` python
# définition de l'échantillonnage selon $x$ et $y$
x_grid = np.linspace(0.15, 3.0, 30) # au passage on change un peu de np.arange()
y_grid = np.linspace(0.15, 3.0, 30)
 
# grille X,Y selon x_grid et y_grid
X, Y = np.meshgrid(x_grid, y_grid)
 
# calcul de la fonction conservee sur la grille
int_premiere_grid = int_premiere([X, Y], params_LV)
```
 
%% Cell type:markdown id:premium-syndication tags:
 
Nous créons une figure avec des paramètres adequats pour un graphique 3D et tracons la fonction en fonction des valeurs de $x$ et $y$ sur la grille.
 
%% Cell type:code id:engaging-meditation tags:
 
``` python
# création d'une figure, et d'un système d'axe un peu particulier puisqu'il est en 3D
fig4, ax4 = plt.subplots(1, 1, subplot_kw={"projection": "3d"}, figsize=(14, 8))
 
# nous importons des colormaps pour représenter la fonction integrale_premiere
from matplotlib import cm
 
# nous tracons l'integrale première sur la grille
ax4.plot_surface(X, Y, int_premiere_grid, cmap=cm.viridis, antialiased=True, alpha =.7)
 
# réglage de l'angle de vision en fonction de l'élévation et de l'azimut
ax4.view_init(elev=10, azim= 30)
 
# labellisation des axes
ax4.set_xlabel('Proies $x$', fontsize='16')
ax4.set_ylabel('Prédateurs $y$', fontsize='16')
ax4.set_zlabel("intégrale première", fontsize='16')
 
# titre de la figure
fig4.suptitle("Intégrale première\n modèle de Lotka Volterra", va='top', fontsize='18');
```
 
%%%% Output: display_data
 
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)
 
%% Cell type:markdown id:aggregate-smart tags:
 
Puis nous surimposons le plan correspondant à la valeur initiale de l'intégrale première en fonction de $x$ et $y$, ainsi que l'évolution de cette quantité au cours du temps le long de la trajectoire simulée.
 
%% Cell type:code id:overall-device tags:
 
``` python
# tracé du plan correspondant a la valeur initiale de l'intégrale première
ax4.plot_surface(X, Y, np.ones_like(int_premiere_grid)*int_premiere([x0, y0], params_LV),
antialiased=True, alpha =.3)
 
# tracé de la valeur de l'intégrale première le long de la trajectoire simulée
ax4.plot(int_LV[:,0], int_LV[:,1], int_premiere([int_LV[:,0], int_LV[:,1]], params_LV),
color = "red", linewidth = 3)
 
# affichage de la figure 4
display(fig4)
```
 
%%%% Output: display_data
 
![](data:image/png;base64,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