TY - JOUR
T1 - Boundedness in a full parabolic two-species chemotaxis system
AU - Htwe, Myo Win
AU - Wang, Yifu
N1 - Publisher Copyright:
© 2016 Académie des sciences
PY - 2017/1/1
Y1 - 2017/1/1
N2 - This paper is concerned with the two-species chemotaxis system {ut=△u−∇⋅(uχ1(w)∇w)+μ1u(1−u−a1v),x∈Ω,t>0,vt=△v−∇⋅(vχ2(w)∇w)+μ2v(1−a2u−v),x∈Ω,t>0,wt=dΔw−w+u+v,x∈Ω,t>0 in a bounded smooth domain Ω⊂Rn(n≥1), where d>0,μi≥0 and ai≥0 (i=1,2) are parameters, χi are functions satisfying some conditions. The purpose of this paper is to show the global boundedness of solutions to the above system under weaker conditions than those assumed in the related literature.
AB - This paper is concerned with the two-species chemotaxis system {ut=△u−∇⋅(uχ1(w)∇w)+μ1u(1−u−a1v),x∈Ω,t>0,vt=△v−∇⋅(vχ2(w)∇w)+μ2v(1−a2u−v),x∈Ω,t>0,wt=dΔw−w+u+v,x∈Ω,t>0 in a bounded smooth domain Ω⊂Rn(n≥1), where d>0,μi≥0 and ai≥0 (i=1,2) are parameters, χi are functions satisfying some conditions. The purpose of this paper is to show the global boundedness of solutions to the above system under weaker conditions than those assumed in the related literature.
UR - http://www.scopus.com/inward/record.url?scp=85007256961&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2016.10.024
DO - 10.1016/j.crma.2016.10.024
M3 - Article
AN - SCOPUS:85007256961
SN - 1631-073X
VL - 355
SP - 80
EP - 83
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 1
ER -