Bifurcation analysis of a delayed predator-prey model with Holling type III functional response and predator harvesting
type: Item
instance of: scholarly article
title: Bifurcation analysis of a delayed predator-prey model with Holling type III functional response and predator harvesting
zbMATH Open document ID: 1407.92140
DOI: 10.1155/2014/543041
author: Uttam Das
author: T. K. Kar
published in: Journal of Nonlinear Dynamics
publication date: 2019-02-27T00:00:00Z
review text: Summary: This paper tries to highlight a delayed prey-predator model with Holling type III functional response and harvesting to predator species. In this context, we have discussed local stability of the equilibria, and the occurrence of Hopf bifurcation of the system is examined by considering the harvesting effort as bifurcation parameter along with the influences of harvesting effort of the system when time delay is zero. Direction of Hopf bifurcation and the stability of bifurcating periodic solutions are also studied by applying the normal form theory and the center manifold theorem. Lastly some numerical simulations are carried out to draw for the validity of the theoretical results.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 7029934
Wikidata QID: Q59058086
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/543041
OpenAlex ID: W2004804194
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description: scientific article; zbMATH DE number 7029934