Boundedness and asymptotics of a reaction -diffusion system with density -dependent motility

作者：Jin, Hai-Yang; Shi, Shijie; Wang, Zhi-An^*

来源：Journal of Differential Equations, 2020, 269(9): 6758-6793.

DOI：10.1016/j.jde.2020.05.018

• Density-dependent Motility
• Global existence
• Asymptotic stability

We consider the initial-boundary value problem of a system of reaction -diffusion equations with densitydependent motility @@@ in a bounded domain S-2 c R2 with smooth boundary, a and (9 are non -negative constants and v denotes the outward normal vector of a SI The random motility function y(v) and functional response function F(w) satisfy the following assumptions: