Stability and Coexistence of a Diffusive Predator-Prey System with Nonmonotonic Functional Response and Fear Effect

المؤلفون المشاركون

Sun, Hao
Feng, Xiaozhou
Xiao, Yangfan
Xiao, Feng

المصدر

Complexity

العدد

المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-10، 10ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2020-12-29

دولة النشر

مصر

عدد الصفحات

10

التخصصات الرئيسية

الفلسفة

الملخص 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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1145228