Acta mathematica scientia, Series B >
STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES
Received date: 2015-01-05
Revised date: 2015-03-16
Online published: 2016-01-30
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.
Key words： predator-prey; global stability; steady state; Lyapunov function
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 . DOI: 10.1016/S0252-9602(15)30078-3
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