Almost periodic positive solutions for a delayed nonlinear density dependent mortality Nicholson’s blowflies model on time scales

Abstract

In this paper we discuss a nonlinear density dependent mortality Nicholson’s blowflies equation with multiple pairs of time varying delays. By contraction mapping theorem, we derived the necessary conditions for the existence of almost periodic positive solutions and by selecting suitable Lyapunov functionnal we study global asymptotic stability of the addressed model. Finally, some numerical simulations are listed to Show the validity of our methods.