Abstract
A class of non-autonomous two species Lotka-Volterra competitive system with pure discrete time delays is discussed. Some sufficient conditions on the boundedness, permanence, periodic solution and global attractivity of the system are established by means of the comparison method and Liapunov functional.
Highlights
Population competition systems of Lotka-Volterra type have been investigated extensively in recent years [1]-[5]
The basic and the simplest two species nonautonomous competitive system for Lotka-Volterra type is as following form dx1 (t dt x2 (t ) r2 (t ) − a21 (t ) x1 (t ) − a22 (t ) x2 (t )
We investigate the following two species Lotka-Volterra type competitive systems with pure discrete time delays
Summary
Population competition systems of Lotka-Volterra type have been investigated extensively in recent years [1]-[5]. The basic and the simplest two species nonautonomous competitive system for Lotka-Volterra type is as following form dx (2016) Dynamics of a Two Species Competitive System with Pure Delays. It is essential for us to investigate population systems with time delays. We investigate the following two species Lotka-Volterra type competitive systems with pure discrete time delays. By using the technique of comparison method and Liapunov function method, we will establish some sufficient conditions on the boundedness, permanence, existence of positive periodic solution and global attractivity of the system. In the final Section, we considered the conditions for the permanence, existence of positive periodic solution and global attractivity of the system
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