Mathematical analysis and stability of a chemotaxis model with logistic term
In this paper we study a non-linear system of differential equations arising in chemotaxis. The system consists of a PDE that describes the evolution of a population and an ODE which models the concentration of a chemical substance. We study the number of steady states under suitable assumptions, th...
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| Formato: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49581 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/49581 |
| Access Level: | acceso abierto |
| Palavra-chave: | 517.986.6 517.518.45 Chemotaxis Stability of stationary solutions Parabolic equations Reinforced random walks Análisis matemático 1202 Análisis y Análisis Funcional |
| Resumo: | In this paper we study a non-linear system of differential equations arising in chemotaxis. The system consists of a PDE that describes the evolution of a population and an ODE which models the concentration of a chemical substance. We study the number of steady states under suitable assumptions, the existence of one global solution to the evolution problem in terms of weak solutions and the stability of the steady states. |
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