Dynamical Analysis of a Plateau Pika with Cross-Diffusion under Contraception Control
Joint Authors
Yang, Jun-Yuan
Zhang, Fengqin
Wang, Xiao-Yan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A plateau pika model with spatial cross-diffusion is investigated.
By analyzing the corresponding characteristic equations, the local stability of an coexistence steady state is discussed when d21 is small enough.
However, when d21 is large enough, the model shows Turing bifurcation if B2 -4AC > 0.
Furthermore, it is proved that if, R > R0, βK > d and cross-diffusion rates are zero, the positive coexistence steady state is globally asymptotically stable.
A nonconstant positive solution bifurcates from the coexistent steady state by the Leray-Schauder degree theory.
Numerical simulations are carried out to illustrate the main results.
American Psychological Association (APA)
Wang, Xiao-Yan& Yang, Jun-Yuan& Zhang, Fengqin. 2014. Dynamical Analysis of a Plateau Pika with Cross-Diffusion under Contraception Control. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-469183
Modern Language Association (MLA)
Wang, Xiao-Yan…[et al.]. Dynamical Analysis of a Plateau Pika with Cross-Diffusion under Contraception Control. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-469183
American Medical Association (AMA)
Wang, Xiao-Yan& Yang, Jun-Yuan& Zhang, Fengqin. Dynamical Analysis of a Plateau Pika with Cross-Diffusion under Contraception Control. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-469183
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469183