STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES

被引：0
|
作者：
MYOUSEFNEZHAD [1 ]
SAMOHAMMADI [2 ]
机构：
[1] Department of Mathematical Sciences,Sharif University of Technology
[2] Department of Mathematics,College of Sciences,Yasouj
来源：
Acta Mathematica Scientia(English Series) | 2016年 / 36卷 / 01期
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摘要：
In this paper, a diffusive predator-prey system with general functional responses and prey-tactic sensitivities is studied. Providing such generality, we construct a Lyapunov function and we show that the positive constant steady state is locally and globally asymptotically stable. With an eye on the biological interpretations, a numerical simulation is performed to illustrate the feasibility of the analytical findings.
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页码：62 / 72
页数：11
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