Dynamics of a diffusive predator-prey system with fear effect in advective environments
Dynamical Systems
2023-12-04 v1
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 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.
Keywords
Cite
@article{arxiv.2312.00395,
title = {Dynamics of a diffusive predator-prey system with fear effect in advective environments},
author = {Daifeng Duan and Ben Niu and Yuan Yuan},
journal= {arXiv preprint arXiv:2312.00395},
year = {2023}
}