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Positive Solutions of a Diffusive Predator-Prey System including Disease for Prey and Equipped with Dirichlet Boundary Condition
Joint Authors
Wen, Xiaoqing
Chen, Yue
Yin, Hongwei
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study a three-dimensional system of a diffusive predator-prey model including disease spread for prey and with Dirichlet boundary condition and Michaelis-Menten functional response.
By semigroup method, we are able to achieve existence of a global solution of this system.
Extinction of this system is established by spectral method.
By using bifurcation theory and fixed point index theory, we obtain existence and nonexistence of inhomogeneous positive solutions of this system in steady state.
American Psychological Association (APA)
Wen, Xiaoqing& Chen, Yue& Yin, Hongwei. 2016. Positive Solutions of a Diffusive Predator-Prey System including Disease for Prey and Equipped with Dirichlet Boundary Condition. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103350
Modern Language Association (MLA)
Wen, Xiaoqing…[et al.]. Positive Solutions of a Diffusive Predator-Prey System including Disease for Prey and Equipped with Dirichlet Boundary Condition. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1103350
American Medical Association (AMA)
Wen, Xiaoqing& Chen, Yue& Yin, Hongwei. Positive Solutions of a Diffusive Predator-Prey System including Disease for Prey and Equipped with Dirichlet Boundary Condition. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103350
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103350