Mathematical analysis and stability of a chemotaxis model with logistic term

Tello, J. Ignacio2023-06-202023-06-202004-11-100170-421410.1002/mma.528https://hdl.handle.net/20.500.14352/49581In 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.engMathematical analysis and stability of a chemotaxis model with logistic termjournal articlehttp://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476open access517.986.6517.518.45ChemotaxisStability of stationary solutionsParabolic equationsReinforced random walksAnálisis matemático1202 Análisis y Análisis Funcional