Bifurcation Analysis of a Leslie-Gower Prey-Predator Model with Fear and Cooperative Hunting

dc.contributor.author	Dubey, Balram
dc.date.accessioned	2023-07-27T07:05:32Z
dc.date.available	2023-07-27T07:05:32Z
dc.date.issued	2022-10
dc.identifier.uri	https://link.springer.com/chapter/10.1007/978-3-030-99792-2_90
dc.identifier.uri	http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11036
dc.description.abstract	The current work examines the dynamical features of a Leslie-Gower prey-predator model. The effects of fear and group defense among prey with the mechanism of cooperative hunting by predators are incorporated. The existence and uniqueness of the interior equilibrium are explained. We obtained sufficient conditions for the local and global stability behavior. With regard to the fear parameter and cooperation strength parameter, the proposed system undergoes Hopf-bifurcation, transcritical bifurcation, and saddle-node bifurcation. Moreover, the system exhibits the property of bi-stability between two interior equilibrium points. The basin of attraction of these points is also plotted. All theoretical results are verified numerically by MATLAB R2021a.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer	en_US
dc.subject	Mathematics	en_US
dc.subject	Prey-predator system	en_US
dc.subject	Fear	en_US
dc.subject	Cooperative hunting	en_US
dc.subject	Bifurcations	en_US
dc.title	Bifurcation Analysis of a Leslie-Gower Prey-Predator Model with Fear and Cooperative Hunting	en_US
dc.type	Article	en_US

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