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Positive Coexistence of Steady States for a Diffusive Ratio-Dependent Predator-Prey Model with an Infected Prey
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-06
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We examine a diffusive ratio-dependent predator-prey system with disease in the prey under homogeneous Dirichlet boundary conditions with a hostile environment at its boundary.
We investigate the positive coexistence of three interacting species (susceptible prey, infected prey, and predator) and provide nonexistence conditions of positive solutions to the system.
In addition, the global stability of the trivial and semitrivial solutions to the system is studied.
Furthermore, the biological interpretation based on the result is also presented.
The methods are employed from a comparison argument for the elliptic problem as well as the fixed-point theory as applied to a positive cone on a Banach space.
American Psychological Association (APA)
Kim, Kwangjoong& Ahn, Inkyung. 2015. Positive Coexistence of Steady States for a Diffusive Ratio-Dependent Predator-Prey Model with an Infected Prey. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068325
Modern Language Association (MLA)
Kim, Kwangjoong& Ahn, Inkyung. Positive Coexistence of Steady States for a Diffusive Ratio-Dependent Predator-Prey Model with an Infected Prey. Journal of Function Spaces No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1068325
American Medical Association (AMA)
Kim, Kwangjoong& Ahn, Inkyung. Positive Coexistence of Steady States for a Diffusive Ratio-Dependent Predator-Prey Model with an Infected Prey. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068325
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068325