Dynamics in a predator-prey model with memory effect in predator and fear effect in prey
Ruizhi Yang, Dan Jin
Abstract
<abstract><p>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.</p></abstract>
Topics & Concepts
Hopf bifurcationPredatorPredationStability (learning theory)Dynamics (music)BifurcationMathematicsApplied mathematicsStatistical physicsControl theory (sociology)PhysicsEcologyBiologyEconomicsComputer scienceNonlinear systemQuantum mechanicsMachine learningManagementAcousticsControl (management)Mathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic DynamicsMathematical Biology Tumor Growth