具有间接信号生成和一般Logistic源的趋化模型解的整体有界性  

Global Boundedness of Solutions to a Chemotaxis Model with Indirect Signal Generation and General Logistic Sources

作　　者：吴顺军 许璐 WU Shun-jun;XU Lu(College of Mathematics and Statistics,Yili Normal University,Yili 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊犁835000

出　　处：《长春师范大学学报》2022年第4期11-16,共6页Journal of Changchun Normal University

基　　金：伊犁师范大学一般科研项目“一类带有增长源的forager-exploiter趋化模型解的性质研究”(2020YSYB007)。

摘　　要：在齐次Neumann边界条件下的光滑有界区域中,讨论了一类具有非线性扩散系数、非线性趋化敏感函数、间接信号产生和一般Logistic源的趋化模型解的适定性,严格证明了该模型经典解整体有界.In this paper,we discuss the well-posedness of solutions for a chemotaxis model with nonlinear diffusion coefficients,nonlinear chemotaxis sensitivity functions,indirect signal production,and general logistic sources in smooth bounded domain under homogeneous Neumann boundary conditions,it is shown that the classical solution of the model is globally bounded.

关 键 词：趋化模型 间接信号生成 一般Logistic源 拟线性 

分 类 号：O175.26[理学—数学]