Please refer to published version for the most recent bibliographic citation information. If a published version is known of, the repository item page linked to above, will contain details on accessing it.
In this paper, we investigate the competitive parabolic-elliptic-parabolic-elliptic two-species chemotaxis system with two chemicals in a smooth bounded domain Ω⊂Rn (n≥1). The existence of global bounded classical solution is proved under mild assumptions on the initial data and appropriate conditions on the strength of the damping death effects. Moreover, for the case when both competition parameters a1 and a2 lie in 0,1, it is shown that such solution stabilizes to spatially homogeneous equilibria in the large time limit.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.