A delayed mathematical model consisting of teams of two prey and one predator is studied. Existence of Hopf bifurcation and local stability are obtained by linearizing the model at the positive equilibrium. By using the normal form method and center manifold theorem, Hopf bifurcation properties are studied. Some numerical simulations and a qualitative analysis are presented.

Dynamics of a delayed mathematical model for one predator sharing teams of two preys

Ferrara M.
Supervision
;
Gangemi M.;Pansera B. A.
Investigation
2021-01-01

Abstract

A delayed mathematical model consisting of teams of two prey and one predator is studied. Existence of Hopf bifurcation and local stability are obtained by linearizing the model at the positive equilibrium. By using the normal form method and center manifold theorem, Hopf bifurcation properties are studied. Some numerical simulations and a qualitative analysis are presented.
2021
Delay
Hopf bifurcation
predator-prey system
stability
team of prey
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/119362
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