most citedGlobal existence of solutions to Keller-Segel chemotaxis system with heterogeneous logistic source and nonlinear secretion

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math.AP2021★ 1 cited

Global existence of solutions to Keller-Segel chemotaxis system with heterogeneous logistic source and nonlinear secretion

Gurusamy Arumugam, Asha K. Dond, André H. Erhardt

We study the following Keller-Segel chemotaxis system with logistic source and nonlinear secretion: \begin{align*} u_t=Δu- \nabla\cdot(u\nabla v)+κ(|x|)u-μ(|x|)u^p\quad\text{and}\q…