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Stability of a predator-prey system with prey taxis in a general class of functional responses
Yousefnezhad, M ; Sharif University of Technology | 2016
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- Type of Document: Article
- DOI: 10.1016/S0252-9602(15)30078-3
- Publisher: Elsevier , 2016
- Abstract:
- 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
- Keywords:
- Global stability ; Lyapunov function ; Predator-prey ; Steady state
- Source: Acta Mathematica Scientia ; Volume 36, Issue 1 , 2016 , Pages 62-72 ; 02529602 (ISSN)
- URL: http://www.sciencedirect.com/science/article/pii/S0252960215300783