Global solvability in a two-species chemotaxis system with signal production
arXiv:2109.15194 · doi:10.1063/5.0040652
Abstract
In this work, we study the Neumann initial-boundary value problem for a two-species chemotaxis system with Lotka-Volterra competition and signal production. Under a rather weak and clean condition of sub-quadratic type damping and merely integrable initial data, we establish the global existence of generalized solutions in an N dimensional bounded and smooth domain.
Acta Appl. Math. 178 (2022), Paper No. 12, 26 pp