Asymptotic stability in a chemotaxis-competition system with indirect signal production
A system of chemotaxis and competition with three parabolic equations combining the models of Keller-Segel and Lotka-Volterra type is studied in bounded domains with the homogeneous Neumann boundary conditions. Exponential convergence to a coexistence steady state is shown under some assumptions on the parameters of the problem, as well as a result on an algebraic decay to an extinction steady state in another parameter range.
scientific article; zbMATH DE number 7314907
scientific article