Permanence and extinction of regime-switching predator-prey models
Probability
2020-01-14 v2
Abstract
In this work we study the permanence and extinction of a regime-switching predator-prey model with Beddington-DeAngelis functional response. The switching process is used to describe the random changing of corresponding parameters such as birth and death rates of a species in different environments. Our criteria can justify whether a prey die out or not when it will die out in some environments and will not in others. Our criteria are rather sharp, and they cover the known on-off type results on permanence of predator-prey models without switching. Our method relies on the recent study of ergodicity of regime-switching diffusion processes.
Keywords
Cite
@article{arxiv.1506.08943,
title = {Permanence and extinction of regime-switching predator-prey models},
author = {Jianhai Bao and Jinghai Shao},
journal= {arXiv preprint arXiv:1506.08943},
year = {2020}
}