Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay

摘要

An open problem given by Kocic and Ladas in 1993 is generalized and considered. A sufficient condition is obtained for each solution totend to the positive steady-state solution of the systems ofnonlinear Volterra difference equations of population models withdiffusion and infinite delays by using the method of lower andupper solutions and monotone iterative techniques.