Uniqueness and Multiplicity of a Prey-Predator Model with Predator Saturation and Competition
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-31
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
We investigate positive solutions of a prey-predator model withpredator saturation and competition under homogeneous Dirichlet boundary conditions.
First,the existence of positive solutions and some sufficient and necessary conditions is established byusing the standard fixed point index theory in cones.
Second, the changes of solution branches,multiplicity, uniqueness, and stability of positive solutions are obtained by virtue of bifurcationtheory, perturbation theory of eigenvalues, and the fixed point index theory.
Finally, the exactnumber and type of positive solutions are proved when k or m converges to infinity.
American Psychological Association (APA)
Feng, Xiao-zhou& Li, Lifeng. 2012. Uniqueness and Multiplicity of a Prey-Predator Model with Predator Saturation and Competition. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-1028951
Modern Language Association (MLA)
Feng, Xiao-zhou& Li, Lifeng. Uniqueness and Multiplicity of a Prey-Predator Model with Predator Saturation and Competition. Journal of Applied Mathematics No. 2012 (2012), pp.1-30.
https://search.emarefa.net/detail/BIM-1028951
American Medical Association (AMA)
Feng, Xiao-zhou& Li, Lifeng. Uniqueness and Multiplicity of a Prey-Predator Model with Predator Saturation and Competition. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-1028951
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028951