Existence of Positive Periodic Solutions for a Nonautonomous Generalized Predator-Prey System with Time Delay in Two-Patch Environment
Joint Authors
Zhou, Weiping
Zhang, Zhengqiu
Wang, Huilan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-05
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
By using continuation theorem of coincidence degree theory, sufficient conditions of the existence of positive periodic solutions are obtained for a generalized predator-prey system with diffusion and delays.
In this paper, we construct a V-function to make the prior estimation for periodic solutions, which makes the discussion more concise.
Moreover, to compute the mapping's topological degree, a polynomial function matrix is constructed straightforwardly as a homotopic mapping for the generalized one, which improves the methods of computation on topological degree for a generalized mapping.
American Psychological Association (APA)
Wang, Huilan& Zhang, Zhengqiu& Zhou, Weiping. 2012. Existence of Positive Periodic Solutions for a Nonautonomous Generalized Predator-Prey System with Time Delay in Two-Patch Environment. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-470993
Modern Language Association (MLA)
Wang, Huilan…[et al.]. Existence of Positive Periodic Solutions for a Nonautonomous Generalized Predator-Prey System with Time Delay in Two-Patch Environment. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-470993
American Medical Association (AMA)
Wang, Huilan& Zhang, Zhengqiu& Zhou, Weiping. Existence of Positive Periodic Solutions for a Nonautonomous Generalized Predator-Prey System with Time Delay in Two-Patch Environment. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-470993
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470993