A New Stage Structure Predator-Prey Model with Diffusion

In this paper, a new model of stage-structured predator–prey with diffusion is formulated with a delay term and adult predators’ functional response which it satisfies certain conditions. Moreover, a three non-negative equilibria points are created, the existence and the global stability of each visible point are analyzed. Furthermore, the existence of a traveling wavefront solution of the formulated model without the delay term is invesitgated where the minimum wave speed is found. Finally, it is shown that the wave speed of the formulated model is slowed down when the delay term is introduced by solving the model numerically using Maple software.