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

Complexity

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

Philosophy

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)

Sun, Hao…[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