Long time dynamics of the Cauchy problem for the predator-prey model with cross-diffusion

Chunhua Jin, Yifu Wang

This paper is concerned with a predator-prey model in $N$-dimensional spaces ($N=1,2,3$), given by \begin{align*}\left\{\begin{aligned} &\frac{\partial u}{\partial t}=Δu-χ\nabla\…