Back to Search
Start Over
Remarks on smallness of chemotactic effect for asymptotic stability in a two-species chemotaxis system
- Source :
- AIMS Mathematics, Vol 1, Iss 3, Pp 156-164 (2016)
- Publication Year :
- 2016
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2016.
-
Abstract
- This paper deals with the two-species chemotaxis system where Ω is a bounded domain in RN with smooth boundary ∂Ω, N∈N; h,Xi 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.
- Subjects :
- lcsh:Mathematics
General Mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Boundary (topology)
lcsh:QA1-939
Omega
Delta-v (physics)
Combinatorics
Chemotaxis|Sensitivity function|Logistic term|Asymptotic behavior|Stability
Exponential stability
Domain (ring theory)
Nabla symbol
Mathematics
Subjects
Details
- ISSN :
- 24736988
- Volume :
- 1
- Database :
- OpenAIRE
- Journal :
- AIMS Mathematics
- Accession number :
- edsair.doi.dedup.....c19a6009ef4316b7bf351160cf4424c2