Existence of spiky steady state of chemotaxis models with logarithm sensitivity

Xu, Xin1,2

2020-08-28

10.1002/mma.6846

MATHEMATICAL METHODS IN THE APPLIED SCIENCES   影响因子和分区

0170-4214

1099-1476

Chemotaxis is an important biological mechanism in the nature. We prove the existence of spiky steady states of the one-dimensional continuous chemotaxis model with logarithm sensitivity in a more general case by using global bifurcation theory with chemotactic coefficient being the bifurcating parameter and by studying the asymptotic behavior of the steady states as the chemotactic coefficient goes to infinity. One can use spiky steady states to model the cell aggregation, which is one of the most important phenomenon in chemotaxis.

chemotaxis KELLER-SEGEL SYSTEM global bifurcation theory LEAST-ENERGY SOLUTIONS logarithm sensitivity GLOBAL BIFURCATION spiky steady states HYPERBOLIC SYSTEM TRAVELING-WAVES BOUNDARY-LAYERS STABILITY

SCI ; EI

英语

第一 ; 通讯

National Natural Science Foundation of China[11571390][11671190]

Mathematics

Mathematics, Applied

WOS:000563290200001

WILEY

20203509113011

Biochemistry

Biochemistry:801.2

MATHEMATICS

Web of Science

1.Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China;
2.Univ Macau, Fac Sci & Technol, Macau, Peoples R China

Xu, Xin. Existence of spiky steady state of chemotaxis models with logarithm sensitivity[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2020,44(2):1484-1499.

Xu, Xin.(2020).Existence of spiky steady state of chemotaxis models with logarithm sensitivity.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,44(2),1484-1499.

Xu, Xin."Existence of spiky steady state of chemotaxis models with logarithm sensitivity".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 44.2(2020):1484-1499.