Open AccessDynamics in a predator-prey model with memory effect in predator and fear effect in prey
Author(s) -
Ruizhi Yang,
Dan Jin
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022069
Subject(s) - hopf bifurcation , predator , predation , stability (learning theory) , dynamics (music) , bifurcation , mathematics , control theory (sociology) , statistical physics , physics , ecology , biology , economics , computer science , nonlinear system , control (management) , management , quantum mechanics , machine learning , acoustics
The spatial memory effect in predator and fear effect in prey are incorporated in a diffusive predator-prey model. We are interested in studying the dynamics generated by the memory effect and fear effect, and mainly study the local stability of coexisting equilibrium, the existence of Hopf bifurcation and the property of Hopf bifurcation. Through the numerical simulations, we show that increasing memory-based diffusion coefficient is not conducive to the stability of the coexisting equilibrium, and the fear effect has both stabilizing and destabilizing effect on the coexisting equilibrium under different parameters.