Hopf Bifurcation of a Predator-Prey System with Delays and Stage Structure for the Prey

المؤلفون المشاركون

Yang, Huizhong
Zhang, Zizhen

المصدر

Discrete Dynamics in Nature and Society

العدد

المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-28، 28ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2012-12-13

دولة النشر

مصر

عدد الصفحات

28

التخصصات الرئيسية

الرياضيات

الملخص EN

This paper is concerned with a Holling type III predator-prey system with stage structure for the prey population and two time delays.

The main result is given in terms of local stability and bifurcation.

By choosing the time delay as a bifurcation parameter, sufficient conditions for the local stability of the positive equilibrium and the existence of periodic solutions via Hopf bifurcation with respect to both delays are obtained.

In particular, explicit formulas that can determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are established by using the normal form method and center manifold theorem.

Finally, numerical simulations supporting the theoretical analysis are also included.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Zhang, Zizhen& Yang, Huizhong. 2012. Hopf Bifurcation of a Predator-Prey System with Delays and Stage Structure for the Prey. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-460146

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Zhang, Zizhen& Yang, Huizhong. Hopf Bifurcation of a Predator-Prey System with Delays and Stage Structure for the Prey. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-28.
https://search.emarefa.net/detail/BIM-460146

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Zhang, Zizhen& Yang, Huizhong. Hopf Bifurcation of a Predator-Prey System with Delays and Stage Structure for the Prey. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-460146

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-460146