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arXiv · 2312.00395

Dynamics of a diffusive predator-prey system with fear effect in advective environments

Daifeng Duan·Ben Niu·Yuan Yuan
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Abstract

We explore a diffusive predator-prey system that incorporates the fear effect in advective environments. Firstly, we analyze the eigenvalue problem and the adjoint operator, considering Constant-Flux and Dirichlet (CF/D) boundary conditions, as well as Free-Flow (FF) boundary conditions. Our investigation focuses on determining the direction and stability of spatial Hopf bifurcation, with the generation delay $\tau$ serving as the bifurcation parameter. Additionally, we examine the influence of both linear and Holling-II functional responses on the dynamics of the model. Through these analyses, we aim to gain a better understanding of the intricate relationship between advection, predation, and prey response in this system.

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Daifeng Duan, Ben Niu, Yuan Yuan. 2023-12-01. Dynamics of a diffusive predator-prey system with fear effect in advective environments. https://arxiv.org/abs/2312.00395

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