# Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response

## TL;DR

This paper analyzes a diffusive predator-prey model with predator interference, establishing conditions for the existence or nonexistence of stationary patterns based on parameters like predator interference strength and diffusion rates.

## Contribution

It provides new theoretical results on the existence of stationary solutions in predator-prey systems with predator interference and diffusion effects.

## Key findings

- No nonconstant stationary solutions when predator interference is strong or predator conversion rate is high.
- Nonconstant solutions emerge when predator diffusion rate is large.
- Results help understand pattern formation in ecological models.

## Abstract

A diffusive predator-prey system with predator interference and Neumann boundary conditions is considered in this paper. We derive some results on the existence and nonexistence of nonconstant stationary solutions. It is shown that there exist no nonconstant stationary solutions when the effect of the predator interference is strong or the conversion rate of the predator is large, and nonconstant stationary solutions emerge when the diffusion rate of the predator is large.