Hopf Bifurcation of a Delayed Ecoepidemic Model with Ratio-Dependent Transmission Rate
Joint Authors
Xia, Wanjun
Kundu, Soumen
Maitra, Sarit
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract 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.
American Psychological Association (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
Modern Language Association (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
American Medical Association (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
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186446
