Asymptotic behavior of predator–prey system with time dependent coefficients

Abstract

The purpose of this paper is to investigate the asymptotic behavior of two dimensional Lotka-Volterra model with time dependent coefficients. The conditions for uniform persistence of the system and for the globally asymptotic stability of any solution of the system have been obtained. When all the coefficients of the system are periodic, we obtain the conditions under which there exists a positive periodic solution of the system and it is globally asymp-totically stable.

Keywords:

• Uniform persistence
• global stability

AMS(MOS)::

• 34D05
• 34C25