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On a Parabolic-ODE system of chemotaxis
2018
Discrete and Continuous Dynamical Systems. Series S
In this article we consider a coupled system of differential equations to describe the evolution of a biological species. The system consists of two equations, a second order parabolic PDE of nonlinear type coupled to an ODE. The system contains chemotactic terms with constant chemotaxis coefficient describing the evolution of a biological species "u" which moves towards a higher concentration of a chemical species "v" in a bounded domain of R n . The chemical "v" is assumed to be a
doi:10.3934/dcdss.2020016
fatcat:uxyeu5q46ffjlj7myk44r52wji