ANALYSIS OF THE ROLE OF CONVECTION IN A SYSTEM DESCRIBING THE TUMOR-INDUCED ANGIOGENESIS

Jin, Hai-Yang1; Xu, Jiao2

2021

Communications in Mathematical Sciences   影响因子和分区

1539-6746

In this paper, we shall study the initial-boundary value problem of a mathematical model describing the branching of capillary sprouts during angiogenesis in one dimensional space. Under homogeneous Neumann boundary conditions, we show the existence of a unique global classical solution with uniform-in-time bound for all suitably regular initial data. Moreover, we show that the unique solution will exponentially converge to a non-trivial constant steady state as time tends to infinity under some appropriate conditions on the parameters.

boundedness chemotaxis haptotaxis convergence rate

SCI

英语

通讯

NSF of China[11871226] ; Guangdong Basic and Applied Basic Research Foundation["2020A1515010140","2020B1515310015"] ; Guangzhou Science and Technology Program[202002030363] ; China Scholarship Council[201906150101]

Mathematics

Mathematics, Applied

WOS:000663345000007

INT PRESS BOSTON, INC

Web of Science

1.South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China
2.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China

Jin, Hai-Yang,Xu, Jiao. ANALYSIS OF THE ROLE OF CONVECTION IN A SYSTEM DESCRIBING THE TUMOR-INDUCED ANGIOGENESIS[J]. Communications in Mathematical Sciences,2021,19(4).

Jin, Hai-Yang,&Xu, Jiao.(2021).ANALYSIS OF THE ROLE OF CONVECTION IN A SYSTEM DESCRIBING THE TUMOR-INDUCED ANGIOGENESIS.Communications in Mathematical Sciences,19(4).

Jin, Hai-Yang,et al."ANALYSIS OF THE ROLE OF CONVECTION IN A SYSTEM DESCRIBING THE TUMOR-INDUCED ANGIOGENESIS".Communications in Mathematical Sciences 19.4(2021).