Spatial nonhomogeneous periodic solutions induced by nonlocal prey competition in a diffusive predator-prey model
Dynamical Systems
2019-05-22 v1
Abstract
The diffusive Holling-Tanner predator-prey model with no-flux boundary conditions and nonlocal prey competition is considered in this paper. We show the existence of spatial nonhomogeneous periodic solutions, which is induced by nonlocal prey competition. In particular, the constant positive steady state can lose the stability through Hopf bifurcation when the given parameter passes through some critical values, and the bifurcating periodic solutions near such values can be spatially nonhomogeneous and orbitally asymptotically stable. This phenomenon is different from that in models without nonlocal effect.
Keywords
Cite
@article{arxiv.1801.05296,
title = {Spatial nonhomogeneous periodic solutions induced by nonlocal prey competition in a diffusive predator-prey model},
author = {Shanshan Chen and Junjie Wei and Kaiqi Yang},
journal= {arXiv preprint arXiv:1801.05296},
year = {2019}
}
Comments
28 pages, 8 figures