Abstract
We study the global existence and boundedness of solutions to a chemotaxis system with weakly singular sensitivity and sub-logistic sources in a two-dimensional domain. It has been shown in X. Zhao (2023) [22] that the logistic degradation, −μu2, can prevent blow-up under the largeness assumption on μ. In this paper, we improve the result by replacing the quadratic degradation by sub-logistic one, −μu2lnβ(u+e) with β∈(0,1), and removing the largeness assumption on μ.
Full Text
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call