Dynamical analysis of a logistic equation with spatio-temporal delay

摘要

This paper is concerned with a logistic equation with spatio-temporal delay. The local asymptotic behavior of positive constant steady-state solution of the equation is considered. In particular, by using the iterative technique, sufficient conditions are established for the existence of traveling wave front solution connecting the zero and the positive constant steady-state solution. Finally, numerical simulations supporting the theoretical analysis are also included.