Existence and global attractivity of periodic solution for a discrete prey-predator model with sex structure (Q974618)

This paper is concerned with the existence and the global attractivity of a positive periodic solution for a periodic discrete prey-predator model with sex structure. First, using Mawhin's continuation theorem, a sufficient condition is obtained for the existence of a periodic positive solution. Then, under certain conditions, this solution is shown to be globally attractive. A discrete Lyapunov functional approach is used for the attractivity analysis. Finally, feasibility of the obtained conditions is illustrated by an example.