In this paper we establish sufficient conditions for the existence and the global asymptotic stability of the positive periodic solution to periodic Holling-Tanner systems with impulses. We carry on the investigation of the global attractivity by means of a piecewise continuous Lyapunov function. In the autonomous case, the general sufficient conditions for the global asymptotic stability lead to simple inequalities involving the system coefficients.

Global dynamics in Holling-Tanner models with impulses

Cappelletti Montano, Mirella;Lisena, Benedetta
2019

Abstract

In this paper we establish sufficient conditions for the existence and the global asymptotic stability of the positive periodic solution to periodic Holling-Tanner systems with impulses. We carry on the investigation of the global attractivity by means of a piecewise continuous Lyapunov function. In the autonomous case, the general sufficient conditions for the global asymptotic stability lead to simple inequalities involving the system coefficients.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/243184
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