A history-dependent stochastic predator-prey model: Chaos and its elimination

被引:12
作者
Gerami, R
Ejtehadi, MR
机构
[1] Inst Studies Theoret Phys & Math, Tehran, Iran
[2] Sharif Univ Technol, Dept Phys, Tehran, Iran
关键词
D O I
10.1007/s100510050074
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
A non-Markovian stochastic predator-prey model is introduced in which the prey are immobile plants and predators are diffusing herbivors. The model is studied by both mean-field approximation (MFA) and computer. simulations. The MFA results: a series of bifurcations in the phase space of mean predator and prey densities, leading to a chaotic phase. Because of emerging correlations between the the species distributions. the interaction rate alters and if it is chosen to be the value which is obtained from the simulation, then the chaotic phase disappears.
引用
收藏
页码:601 / 606
页数:6
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