학술논문
Stability of a predator-prey system with prey taxis in a general class of functional responses.
Document Type
Journal
Author
Yousefnezhad, M. (IR-SHAR) AMS Author Profile; Mohammadi, S. A. (IR-YU-MCS) AMS Author Profile
Source
Subject
35 Partial differential equations -- 35B Qualitative properties of solutions
35B35Stability
35Partial differential equations -- 35K Parabolic equations and systems
35K57Reaction-diffusion equations
92Biology and other natural sciences -- 92D Genetics and population dynamics
92D25Population dynamics
35B35
35
35K57
92
92D25
Language
English
Abstract
Summary: ``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.''