Original Papers

Acta Mathematicae Applicatae Sinica

, Volume 22, Issue 2, pp 313-324

Dynamic Behavior of a Logistic Type Equation with Infinite Delay

  • Feng-de ChenAffiliated withCollege of Mathematics and Computer Science, Fuzhou University Email author 
  • , Chun-ling ShiAffiliated withCollege of Mathematics and Computer Science, Fuzhou University

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Abstract

A non-autonomous Logistic type equation with infinite delay is investigated. For general nonautonomous case, sufficient conditions which guarantee the uniform persistence and globally attractivity of the system are obtained; For almost periodic case, by means of a suitable Lyapunov functional, sufficient conditions are derived for the existence and uniqueness of almost periodic solution of the system. Some new results are obtained.

Keywords

Logistic type equation infinite delay Lyapunov functional existence uniqueness almost periodic solution

2000 MR Subject Classification

34C25 92D25 34D20 34D40