Global existence, boundedness and asymptotic behavior to a logistic chemotaxis model with density-signal governed sensitivity and signal absorption

Mengyao Ding, Xiangdong Zhao

In present paper, we consider a chemotaxis consumption system with density-signal governed sensitivity and logistic source: $u_t=\Delta u-\nabla \cdot (\frac{S(u)}{v}\nabla v)+ru-\mu u^2$, $v…