Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615077 | Journal of Mathematical Analysis and Applications | 2015 | 14 Pages |
Abstract
This paper deals with a parabolic–elliptic chemotaxis system with nonlinear sensitivity and logistic source{ut=Δu−χ∇⋅(ψ(u)∇v)+f(u),(x,t)∈Ω×(0,∞),0=Δv−v+g(u),(x,t)∈Ω×(0,∞), under homogeneous Neumann boundary conditions in a smooth bounded domain Ω⊂RnΩ⊂Rn (n≥1n≥1), where χ>0χ>0, the function ψ(u)ψ(u) is the chemotactic sensitivity, g(u)g(u) is the production rate of the chemoattractant and f(u)f(u) is the logistic source. Under some suitable assumptions on the nonlinearities ψ(u)ψ(u), g(u)g(u) and logistic source f(u)f(u), we study the global boundedness of solutions for the problem.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pan Zheng, Chunlai Mu, Xuegang Hu, Ya Tian,