stochastic spatial models
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2017 ◽  
Vol 172 (1) ◽  
pp. 44-73 ◽  
Author(s):  
Simone Pigolotti ◽  
Massimo Cencini ◽  
Daniel Molina ◽  
Miguel A. Muñoz

2012 ◽  
Vol 09 ◽  
pp. 347-353
Author(s):  
MOHAMED FARIS LAHAM ◽  
ISTHRINAYAGY KRISHNARAJAH ◽  
ABDUL KADIR JUMAAT

Stochastic spatial models are becoming a popular tool for understand the ecological and evolution of ecosystem problems. We consider the predator prey interactions in term of stochastic representation of this Lotka-Volterra model and explore the use of stochastic processes to extinction behavior of the interacting populations. Here, we present simulation of stochastic processes of continuous time Lotka-Volterra model. Euler method has been used to solve the predator prey system. The trajectory spiral graph has been plotted based on obtained solution to show the population cycle of predator as a function of time.


2002 ◽  
Vol 159 (1) ◽  
pp. 57-80 ◽  
Author(s):  
M. J. Keeling ◽  
H. B. Wilson ◽  
S. W. Pacala

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