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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2015 (2015)

Commun. Math. Biol. Neurosci. 2015 (2015), Article ID 11

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

Xiaofeng Chen, Jinghai Wang

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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.

Published
6 April 2015
Volume
2015 (2015)
License
CC BY 3.0

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.

Cite this article

X. Chen, J. Wang, A predator-prey model with effect of toxicity and with stochastic perturbation, Commun. Math. Biol. Neurosci. 2015 (2015), 11.

BibTeX
@article{Chen2015,
  author  = {Chen, Xiaofeng and Wang, Jinghai},
  title   = {A predator-prey model with effect of toxicity and with stochastic perturbation},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2015},
  year    = {2015},
  pages   = {11},
  doi     = {}
}