Dynamical analysis of a parasite-host model within fluctuating environment
type: Item
instance of: scholarly article
title: Dynamical analysis of a parasite-host model within fluctuating environment
zbMATH Open document ID: 1400.92451
DOI: 10.1155/2016/2972956
author: Ziang Zhou
author: Huitao Zhao
author: Kun Xue
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 6952992
Wikidata QID: Q59130774
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2972956
OpenAlex ID: W2291389211
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description: scientific article; zbMATH DE number 6952992