Stability and Coexistence of a Diffusive Predator-Prey System with Nonmonotonic Functional Response and Fear Effect
Joint Authors
Sun, Hao
Feng, Xiaozhou
Xiao, Yangfan
Xiao, Feng
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-29
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper investigates the diffusive predator-prey system with nonmonotonic functional response and fear effect.
Firstly, we discussed the stability of the equilibrium solution for a corresponding ODE system.
Secondly, we established a priori positive upper and lower bounds for the positive solutions of the PDE system.
Thirdly, sufficient conditions for the local asymptotical stability of two positive equilibrium solutions of the system are given by using the method of eigenvalue spectrum analysis of linearization operator.
Finally, the existence and nonexistence of nonconstant positive steady states of this reaction-diffusion system are established by the Leray–Schauder degree theory and Poincaré inequality.
American Psychological Association (APA)
Feng, Xiaozhou& Sun, Hao& Xiao, Yangfan& Xiao, Feng. 2020. Stability and Coexistence of a Diffusive Predator-Prey System with Nonmonotonic Functional Response and Fear Effect. Complexity،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1145228
Modern Language Association (MLA)
Feng, Xiaozhou…[et al.]. Stability and Coexistence of a Diffusive Predator-Prey System with Nonmonotonic Functional Response and Fear Effect. Complexity No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1145228
American Medical Association (AMA)
Feng, Xiaozhou& Sun, Hao& Xiao, Yangfan& Xiao, Feng. Stability and Coexistence of a Diffusive Predator-Prey System with Nonmonotonic Functional Response and Fear Effect. Complexity. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1145228
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1145228