Dynamics in chemotaxis models of parabolic-elliptic type on bounded domain with time and space dependent logistic sources

Tahir Bachar Issa, Wenxian Shen

This paper considers the dynamics of the following chemotaxis system $$ \begin{cases} u_t=Δu-χ\nabla (u\cdot \nabla v)+u\left(a_0(t,x)-a_1(t,x)u-a_2(t,x)\int_Ωu\right),\quad x\in Ω…