Dynamical Analysis of a Parasite-Host Model within Fluctuating Environment
Joint Authors
Zhao, Huitao
Xu, Kun
Zhou, Ziang
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Xu, Kun& Zhou, Ziang& Zhao, Huitao. 2016. Dynamical Analysis of a Parasite-Host Model within Fluctuating Environment. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1111964
Modern Language Association (MLA)
Xu, Kun…[et al.]. Dynamical Analysis of a Parasite-Host Model within Fluctuating Environment. Mathematical Problems in Engineering No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1111964
American Medical Association (AMA)
Xu, Kun& Zhou, Ziang& Zhao, Huitao. Dynamical Analysis of a Parasite-Host Model within Fluctuating Environment. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1111964
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111964