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

2021, Arumgam, Gurusamy, Dond, Asha K., Erhardt, André H.

We study the following Keller-Segel chemotaxis system with logistic source and nonlinear secretion. For this system, we prove the global existence of solutions under suitable assumptions.