J4 ›› 2013, Vol. 48 ›› Issue (12): 18-23.

• Articles • Previous Articles     Next Articles

Dynamics of the nonautonomous predator system

CHEN Xin-yi   

  1. China Minorities Information Technology Institute, Northwest University for
    Nationalities, Lanzhou 730030, Gansu, China
  • Received:2013-05-31 Online:2013-12-20 Published:2014-01-09

Abstract:

In this paper, the dynamics of a nonautonomous predator system are investigated. Some sufficient conditions which guarantee the permanence and the global asymptotic stability of the system are determined by using compare theory and constructing a suitable Lyapunov function. For the periodic case and almost periodic case, by using Brouwer fixed point theorems and constructing Lyapunov function to adjoint system, existence and uniqueness of a positive periodic and almost periodic solution are obtained, which generalizes the known result.

Key words: nonautonomous predator system; persistence; global asymptotic stability; periodic; almost periodic

CLC Number: 

  • O175.7
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