Qualitative analysis of a Leslie-Gower predator-prey system with nonlinear harvesting in predator
type: Item
instance of: scholarly article
title: Qualitative analysis of a Leslie-Gower predator-prey system with nonlinear harvesting in predator
zbMATH Open document ID: 1413.34177
DOI: 10.1155/2016/2741891
author: M. K. Singh
author: B. S. Bhadauria
author: Brajesh Kumar Singh
published in: International Journal of Engineering Mathematics
publication date: 2018-08-06T00:00:00Z
review text: Summary: This paper deals with the study of the stability and the bifurcation analysis of a Leslie-Gower predator-prey model with Michaelis-Menten type predator harvesting. It is shown that the proposed model exhibits the bistability for certain parametric conditions. Dulac's criterion has been adopted to obtain the sufficient conditions for the global stability of the model. Moreover, the model exhibits different kinds of bifurcations (e.g., the saddle-node bifurcation, the subcritical and supercritical Hopf bifurcations, Bogdanov-Takens bifurcation, and the homoclinic bifurcation) whenever the values of parameters of the model vary. The analytical findings and numerical simulations reveal far richer and complex dynamics in comparison to the models with no harvesting and with constant-yield predator harvesting.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 6913846
Wikidata QID: Q59124541
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2741891
OpenAlex ID: W2528291852
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description: scientific article; zbMATH DE number 6913846