Spatiotemporal Patterns Induced by Hopf Bifurcations in a Homogeneous Diffusive Predator-Prey System
Joint Authors
Yang, Xuguang
Lin, Meng
Chai, Yanyou
Wang, Yufeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we consider a diffusive predator-prey system where the prey exhibits the herd behavior in terms of the square root of the prey population.
The model is supposed to impose on homogeneous Neumann boundary conditions in the bounded spatial domain.
By using the abstract Hopf bifurcation theory in infinite dimensional dynamical system, we are capable of proving the existence of both spatial homogeneous and nonhomogeneous periodic solutions driven by Hopf bifurcations bifurcating from the positive constant steady state solutions.
Our results allow for the clearer understanding of the mechanism of the spatiotemporal pattern formations of the predator-prey interactions in ecology.
American Psychological Association (APA)
Lin, Meng& Chai, Yanyou& Yang, Xuguang& Wang, Yufeng. 2019. Spatiotemporal Patterns Induced by Hopf Bifurcations in a Homogeneous Diffusive Predator-Prey System. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1195334
Modern Language Association (MLA)
Lin, Meng…[et al.]. Spatiotemporal Patterns Induced by Hopf Bifurcations in a Homogeneous Diffusive Predator-Prey System. Mathematical Problems in Engineering No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1195334
American Medical Association (AMA)
Lin, Meng& Chai, Yanyou& Yang, Xuguang& Wang, Yufeng. Spatiotemporal Patterns Induced by Hopf Bifurcations in a Homogeneous Diffusive Predator-Prey System. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1195334
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195334