Speaker
Description
In this study, we consider a degenerate reaction-diffusion system that models the interactions among the prey, the predator, and the predator's natural enemy. A typical scenario of our model arises from the plant-insect-natural enemy interaction in agriculture, in which the prey is a plant species that lacks diffusion; meanwhile, the natural enemy not only eradicates the predator but also supports the growth of the prey.
Firstly, the well-posedness properties of the solution, including global existence and the uniform boundedness in time, are proved. Next, we present the stability analysis of the spatially homogeneous equilibria, in which we identify a sufficient condition under which Turing instability does not occur and prove the nonlinear stability of these equilibria.
