Analysis of a Single Species Model with Dissymmetric Bidirectional Impulsive Diffusion and Dispersal Delay
Joint Authors
Wan, Haiyun
Zhang, Long
Teng, Zhidong
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In most models of population dynamics, diffusion between two patches is assumed to be either continuous or discrete, but in the real natural ecosystem, impulsive diffusion provides a more suitable manner to model the actual dispersal (or migration) behavior for many ecological species.
In addition, the species not only requires some time to disperse or migrate among the patches but also has some possibility of loss during dispersal.
In view of these facts, a single species model with dissymmetric bidirectional impulsive diffusion and dispersal delay is formulated.
Criteria on the permanence and extinction of species are established.
Furthermore, the realistic conditions for the existence, uniqueness, and the global stability of the positive periodic solution are obtained.
Finally, numerical simulations and discussion are presented to illustrate our theoretical results.
American Psychological Association (APA)
Wan, Haiyun& Zhang, Long& Teng, Zhidong. 2014. Analysis of a Single Species Model with Dissymmetric Bidirectional Impulsive Diffusion and Dispersal Delay. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-491635
Modern Language Association (MLA)
Wan, Haiyun…[et al.]. Analysis of a Single Species Model with Dissymmetric Bidirectional Impulsive Diffusion and Dispersal Delay. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-491635
American Medical Association (AMA)
Wan, Haiyun& Zhang, Long& Teng, Zhidong. Analysis of a Single Species Model with Dissymmetric Bidirectional Impulsive Diffusion and Dispersal Delay. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-491635
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491635