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Jan 24th, 2018
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  1. def croissance(x,t):
  2. dx = [0,0]
  3. dx[0] = (gamma_ - alpha_ * beta_) * M - alpha_ * M * D
  4. dx[1] = alpha_ * beta_ * M + alpha_ * M * D
  5. return dx
  6.  
  7. # Parameters
  8. alpha_ = 1.0
  9. beta_ = 1.0
  10. gamma_ = 1.0
  11.  
  12. # Differential system
  13. def croissance(x,t):
  14. dx = [0,0]
  15. dx[0] = (gamma_ - alpha_ * beta_) * x - alpha_ * x * x
  16. dx[1] = alpha_ * beta_ * x + alpha_ * x * x
  17. return dx
  18.  
  19. # Initial conditions
  20. N0 = [0.3,0.3]
  21. t0 = 0.
  22. dt = 0.01
  23. tf = 60.
  24. t = np.arange(t0, tf, dt)
  25.  
  26. N = odeint(croissance, N0, t)
  27. plt.close('all')
  28. plt.plot(t,N[:,0])
  29. plt.plot(t,N[:,1],'--')
  30. plt.show()
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