Uniqueness and nonlinear stability of positive entire solutions in parabolic-parabolic chemotaxis models with logistic source on bounded heterogeneous environments
Abstract
This paper studies the asymptotic behavior of solutions of the parabolic-parabolic chemotaxis model with logistic-type sources in heterogeneous bounded domains: { u t = Δ u − χ ∇ ⋅ ( u ∇ v ) + u ( a 0 ( t , x ) − a 1 ( t , x ) u − a 2 ( t , x ) ∫ Ω u ) , a m p ; x ∈ Ω τ v t = Δ v − λ v + μ u , a m p ; x ∈
Fields of Study & Subjects
Mathematical Biology Tumor Growth
Mathematical and Theoretical Epidemiology and Ecology Models
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Proceedings of the American Mathematical Society Series B
- Volume
- 13
- Issue
- 6
- Pages
- 44–58
- Publication date
- 15 April 2026
- Language
- EN