Positive Steady States of a Strongly Coupled Predator-Prey System with Holling-(n+1) Functional Response

This paper discusses a predator-prey system with Holling-(n + 1) functional response and the fractional type nonlinear diffusion term in a bounded domain under homogeneous Neumann boundary condition. The existence and nonexistence results concerning nonconstant positive steady states of the system were obtained. In particular, we prove that the positive constant solution ((u) over tilde,(v) over tilde) is asymptotically stable when the parameter k satisfies some conditions.