On the dynamics of the solutions of a biological model

Abstract

In this paper we study the boundedness and the persistence of the positive solutions, the existence, the attractivity and the global asymptotic stability of the unique positive equilibrium and the existence of periodic solutions concerning the biological model given by

where , are positive constants and is a positive real number.

Keywords::

• difference equations
• boundedness
• persistence of the positive solutions
• asymptotic behaviour
• global stability
• periodic solutions

Notes

^1. Email: cschinas@ee duth.gr

^2. Email: georelli@env duth.gr