Stability of solutions of chemotaxis equations in reinforced random walks

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Stability of solutions of chemotaxis equations in reinforced random walks

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Friedman, Avner

Tello, J. Ignacio

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2001-04

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In this paper we consider a nonlinear system of differential equations consisting of one parabolic equation and one ordinary differential equation. The system arises in chemotaxis, a process whereby living organisms respond to chemical substance, or by aggregating or dispersing. We prove that stationary solutions of the system are asymptotically stable.

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Institute for Mathematics and Its Applications>IMA Preprints Series

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Friedman, Avner; Tello, J. Ignacio. (2001). Stability of solutions of chemotaxis equations in reinforced random walks. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3592.

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