Permanence and stability of multi-species nonautonomous Lotka--Volterra competitive systems with delays and feedback controls on time scales

Document Type : Original Article

Authors

Mahammad Khuddush ¹

Kapula Rajendra Prasad ²

¹ Department of Applied Mathematics, Andhra University, Visakhapatnam,india-530003

² Department of Applied Mathematics, Andhra University.

10.22034/kjm.2021.220759.1725

Abstract

In this paper, we consider a multi-species Lotka-Volterra type competitive system with delays and feedback controls on time scales. A general criteria on the permanence is established and then by constructing suitable Lyapunov functionals, sufficient conditions are derived for the existence and
uniform asymptotic stability of unique positive almost periodic solution of the system.

Keywords

Lotka-Volterra competitive system

feedback control

permanence

almost periodic solution

uniform asymptotic stability

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