Dynamics of a diffusive predator-prey model: the effect of conversion rate
Dynamical Systems
2017-01-16 v2
Abstract
A general diffusive predator-prey model is investigated in this paper. We prove the global attractivity of constant equilibria when the conversion rate is small, and the non-existence of non-constant positive steady states when the conversion rate is large. The results are applied to several predator-prey models and give some ranges of parameters where complex pattern formation cannot occur.
Cite
@article{arxiv.1604.02308,
title = {Dynamics of a diffusive predator-prey model: the effect of conversion rate},
author = {Shanshan Chen and Junjie Wei and Jianhui Zhang},
journal= {arXiv preprint arXiv:1604.02308},
year = {2017}
}
Comments
27 pages