Hopf Bifurcation of a Delayed Ecoepidemic Model with Ratio-Dependent Transmission Rate

المؤلفون المشاركون

Xia, Wanjun
Kundu, Soumen
Maitra, Sarit

المصدر

Journal of Function Spaces

العدد

المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-10، 10ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2018-09-12

دولة النشر

مصر

عدد الصفحات

10

التخصصات الرئيسية

الرياضيات

الملخص EN

A delayed ecoepidemic model with ratio-dependent transmission rate has been proposed in this paper.

Effects of the time delay due to the gestation of the predator are the main focus of our work.

Sufficient conditions for local stability and existence of a Hopf bifurcation of the model are derived by regarding the time delay as the bifurcation parameter.

Furthermore, properties of the Hopf bifurcation are investigated by using the normal form theory and the center manifold theorem.

Finally, numerical simulations are carried out in order to validate our obtained theoretical results.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Xia, Wanjun& Kundu, Soumen& Maitra, Sarit. 2018. Hopf Bifurcation of a Delayed Ecoepidemic Model with Ratio-Dependent Transmission Rate. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1186446

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Xia, Wanjun…[et al.]. Hopf Bifurcation of a Delayed Ecoepidemic Model with Ratio-Dependent Transmission Rate. Journal of Function Spaces No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1186446

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Xia, Wanjun& Kundu, Soumen& Maitra, Sarit. Hopf Bifurcation of a Delayed Ecoepidemic Model with Ratio-Dependent Transmission Rate. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1186446

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1186446