Stability of solutions of chemotaxis equations in reinforced random walks
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 statio...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57009 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/57009 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.986.6 Chemotaxis Reinforced random walk Parabolic equations Stability of stationary solutions Análisis matemático 1202 Análisis y Análisis Funcional |
| Sumario: | 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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