Stability of a predator-prey system with prey taxis in a general class of functional responses

TY - JOUR

T1 - Stability of a predator-prey system with prey taxis in a general class of functional responses

AU - Yousefnezhad, M.

AU - Mohammadi, S.A.

PY - 2016/1

Y1 - 2016/1

N2 - 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.

AB - 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.

KW - predator-prey

KW - global stability

KW - steady state

KW - Lyapunov function

UR - https://www.scopus.com/pages/publications/84949674153

U2 - 10.1016/S0252-9602(15)30078-3

DO - 10.1016/S0252-9602(15)30078-3

M3 - Article

SN - 0252-9602

VL - 36

SP - 62

EP - 72

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 1

ER -