Dynamical Analysis of a Delayed Diffusive Predator–Prey Model with Additional Food Provided and Anti-Predator Behavior

Ruizhi Yang, Xiao Zhao and Yong An
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Ruizhi Yang: Department of Mathematics, Northeast Forestry University, Harbin 150040, China
Xiao Zhao: Department of Mathematics, Northeast Forestry University, Harbin 150040, China
Yong An: Department of Mathematics, Northeast Forestry University, Harbin 150040, China

Mathematics, 2022, vol. 10, issue 3, 1-18

Abstract: We studied a delayed predator–prey model with diffusion and anti-predator behavior. Assume that additional food is provided for predator population. Then the stability of the positive equilibrium is considered. The existence of Hopf bifurcation is also discussed based on the Hopf bifurcation theory. The property of Hopf bifurcation is derived through the theory of center manifold and normal form method. Finally, we analyze the effect of time delay on the model through numerical simulations.

Keywords: delay; diffusion; predator–prey; Hopf bifurcation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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