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Existence, Multiplicity, and Stability of Positive Solutions of a Predator-Prey Model with Dinosaur Functional Response
Joint Authors
Shi, Kenan
Tian, Jianhui
Feng, Xiao-zhou
Zhang, Tongqian
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-13
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We investigate the property of positive solutions of a predator-prey model with Dinosaur functional response under Dirichlet boundary conditions.
Firstly, using the comparison principle and fixed point index theory, the sufficient conditions and necessary conditions on coexistence of positive solutions of a predator-prey model with Dinosaur functional response are established.
Secondly, by virtue of bifurcation theory, perturbation theory of eigenvalues, and the fixed point index theory, we establish the bifurcation of positive solutions of the model and obtain the stability and multiplicity of the positive solution under certain conditions.
Furthermore, the local uniqueness result is studied when b and d are small enough.
Finally, we investigate the multiplicity, uniqueness, and stability of positive solutions when k>0 is sufficiently large.
American Psychological Association (APA)
Feng, Xiao-zhou& Shi, Kenan& Tian, Jianhui& Zhang, Tongqian. 2017. Existence, Multiplicity, and Stability of Positive Solutions of a Predator-Prey Model with Dinosaur Functional Response. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1190536
Modern Language Association (MLA)
Feng, Xiao-zhou…[et al.]. Existence, Multiplicity, and Stability of Positive Solutions of a Predator-Prey Model with Dinosaur Functional Response. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1190536
American Medical Association (AMA)
Feng, Xiao-zhou& Shi, Kenan& Tian, Jianhui& Zhang, Tongqian. Existence, Multiplicity, and Stability of Positive Solutions of a Predator-Prey Model with Dinosaur Functional Response. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1190536
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190536