Hopf bifurcation of a delayed ecoepidemic model with ratio-dependent transmission rate
type: Item
instance of: scholarly article
title: Hopf bifurcation of a delayed ecoepidemic model with ratio-dependent transmission rate
zbMATH Open document ID: 1404.37115
DOI: 10.1155/2018/5626039
author: Wanjun Xia
author: Soumen Kundu
author: Sarit Maitra
published in: Journal of Function Spaces
publication date: 2018-11-15T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 37G10
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 6979877
zbMATH Keywords: ecoepidemic model
zbMATH Keywords: Hopf bifurcation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5626039
OpenAlex ID: W2892055855
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description: scientific article; zbMATH DE number 6979877