首页 期刊 数学季刊 拟线性抛物型趋化模型的整体有界解研究 【正文】

拟线性抛物型趋化模型的整体有界解研究

作者:刘丙辰; 董梦真 College; of; Science; China; University; of; Petroleum; Qingdao; 266580; Shandong; Province; P.R.China
chemotaxis   nonlinear   aggregation   logistic   type  

摘要:In this paper,we consider a quasilinear parabolic-parabolic chemotaxis model with nonlinear diffusivity,aggregation and logistic damping source:■where k1 epu≤D(u) or k1 up≤D(u);k2 equ≤S(u)≤k3 equ;g(u)≤a-beku.It is proved that,if q b0 for some constant b0> 0,then there exists a unique classical solution which is globally bounded.The results show the effect of the aggregation and the logistic damping source on the existence of globally bounded solutions.

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