کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5024383 | 1470390 | 2018 | 17 صفحه PDF | دانلود رایگان |
This paper deals with an attraction-repulsion chemotaxis system with logistic source ut=ÎuâÏââ (uâv)+ξââ (uâw)+f(u),xâΩ,t>0,vt=Îv+αuâβv,xâΩ,t>0,wt=Îw+γuâδw,xâΩ,t>0under homogeneous Neumann boundary conditions in a smooth bounded domain ΩâRN (Nâ¥1), where parameters Ï, ξ, α, β, γ and δ are positive and f(s)=κsâμs1+kwithκâR,μ>0andkâ¥1. It is shown that the corresponding system possesses a unique global bounded classical solution in the cases k>1 or k=1 with μ>CNμâ for some μâ,CN>0. Moreover, the large time behavior of solutions to the problem is also investigated. Specially speaking, when κ<0 (resp. κ=0), the corresponding solution of the system decays to (0,0,0) exponentially (resp. algebraically), and when κ>0 the solution converges to κμ1âk,αβκμ1âk,γδκμ1âk exponentially if μ is larger.
Journal: Nonlinear Analysis: Real World Applications - Volume 39, February 2018, Pages 261-277