Incorporating prey refuge in a prey–predator model with a Holling type I functional response: random dynamics and population outbreaks

被引:0
|
作者
Amalia Gkana
Loukas Zachilas
机构
[1] University of Thessaly,Department of Economics
来源
Journal of Biological Physics | 2013年 / 39卷
关键词
Prey–predator model; Holling type I; Prey refuge; Chaotic dynamics; Population outbreaks;
D O I
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学科分类号
摘要
A prey–predator discrete-time model with a Holling type I functional response is investigated by incorporating a prey refuge. It is shown that a refuge does not always stabilize prey–predator interactions. A prey refuge in some cases produces even more chaotic, random-like dynamics than without a refuge and prey population outbreaks appear. Stability analysis was performed in order to investigate the local stability of fixed points as well as the several local bifurcations they undergo. Numerical simulations such as parametric basins of attraction, bifurcation diagrams, phase plots and largest Lyapunov exponent diagrams are executed in order to illustrate the complex dynamical behavior of the system.
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页码:587 / 606
页数:19
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