A predator-prey model with effect of toxicity and with stochastic perturbation

Xiaofeng Chen, Jinghai Wang

Abstract


This paper reports on the behaviors of stochastic predator-prey populations in toxic environment. We show that the model established in this paper possesses non-negative solutions as this is essential in any population dynamics model. We also carry out analysis on the asymptotic behaviour of the model. We show that the model is ultimate bounded under suitable condition. At last, numerical simulations are carried out to support our results.

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Published: 2015-04-06

How to Cite this Article:

Xiaofeng Chen, Jinghai Wang, A predator-prey model with effect of toxicity and with stochastic perturbation, Communications in Mathematical Biology and Neuroscience, Vol 2015 (2015), Article ID 11

Copyright © 2015 Xiaofeng Chen, Jinghai Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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