Remarks on smallness of chemotactic effect for asymptotic stability in a two-species chemotaxis system

AIMS Mathematics

Masaaki Mizukami¹ 

关键词: : ;    Chemotaxis;    Sensitivity function;    Logistic term;    Asymptotic behavior;    Stability;   

DOI  :  10.3934/Math.2016.3.156

学科分类：数学（综合）

来源: AIMS Press

【 摘 要 】

where Ω is a bounded domain in RN with smooth boundary ∂Ω, N∈N; h,X_i are functions satisfying some conditions. Global existence and asymptotic stability of solutions to the above system were established under some conditions [11]. The main purpose of the present paper is to improve smallness conditions for chemotactic effect deriving asymptotic stability and to give the convergence rate in stabilization which cannot be attained in the previous work.

【 授权许可】

CC BY