具有间接吸引信号产出的高维趋化增长系统解的有界性
Boundedness in the Higher-Dimensional Chemotaxis-Growth System with Indirect Attractant Production
DOI: 10.12677/AAM.2019.84072, PDF,    科研立项经费支持
作者: 唐清泉, 辛 巧：伊犁师范大学数学与统计分院，新疆 伊宁
关键词: 间接信号产出；趋化性；Logistic源；有界性；Indirect Signal Production； Chemotaxis； Logistic Source； Boundedness
摘要: 本文考虑一个具有间接信号产出的山松甲壳虫趋化增长系统： ，其中是一个光滑有界区域，τ>0。利用能量方法和Moser迭代证明了在任意充分光滑的初值边界条件下，当µ足够大，该模型有唯一的全局有界经典解。
Abstract: This paper deals with the following Chemotaxis-growth system of the Mountain Pain Beetle with in-direct attractant production: in a smoothly bounded domain ,   is positive. The energy method and Moser iteration are used to prove that under any sufficiently smooth initial boundary conditions, when µ is large enough, the model has a unique global-in-time classical solution.
文章引用：唐清泉, 辛巧. 具有间接吸引信号产出的高维趋化增长系统解的有界性[J]. 应用数学进展, 2019, 8(4): 650-656. https://doi.org/10.12677/AAM.2019.84072

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