Dynamical Analysis of a Parasite-Host Model within Fluctuating Environment

Kun Xu, Ziang Zhou and Huitao Zhao

Mathematical Problems in Engineering, 2016, vol. 2016, 1-12

Abstract:

A parasite-host model within fluctuating environment is proposed. Firstly, the positivity and boundedness of solutions of the model within deterministic environment are discussed, and, then, the asymptotical stability and global stability of equilibria of deterministic model are investigated. Secondly, we show that the stochastic model has a unique global positive solution; furthermore, we show that the stochastic model has a stationary distribution under certain conditions. Finally, we give some numerical simulations to illustrate our analytical results.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2972956

DOI: 10.1155/2016/2972956

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