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

doi:10.1016/S0252-9602(15)30078-3

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (1): 62-72.doi: 10.1016/S0252-9602(15)30078-3

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

M. YOUSEFNEZHAD¹, S. A. MOHAMMADI²

1. Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran;
2. Department of Mathematics, College of Sciences, Yasouj University, Yasouj, 75918-74934, Iran

收稿日期:2015-01-05 修回日期:2015-03-16 出版日期:2016-01-30 发布日期:2016-01-30
通讯作者: S. A. MOHAMMADI,E-mail:mohammadi@yu.ac.ir E-mail:mohammadi@yu.ac.ir
作者简介:M. YOUSEFNEZHAD,E-mail:yousefnezhad@mehr.sharif.ir

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

M. YOUSEFNEZHAD¹, S. A. MOHAMMADI²

1. Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran;
2. Department of Mathematics, College of Sciences, Yasouj University, Yasouj, 75918-74934, Iran

Received:2015-01-05 Revised:2015-03-16 Online:2016-01-30 Published:2016-01-30
Contact: S. A. MOHAMMADI,E-mail:mohammadi@yu.ac.ir E-mail:mohammadi@yu.ac.ir

摘要/Abstract

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.

关键词: predator-prey, global stability, steady state, Lyapunov function

Abstract:

Key words: predator-prey, global stability, steady state, Lyapunov function

中图分类号:

35K57

M. YOUSEFNEZHAD, S. A. MOHAMMADI. STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES[J]. 数学物理学报(英文版), 2016, 36(1): 62-72.

M. YOUSEFNEZHAD, S. A. MOHAMMADI. STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES[J]. Acta mathematica scientia,Series B, 2016, 36(1): 62-72.

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

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

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