一类趋化消耗模型解的整体有界性  

Global Boundedness of Solution to a Chemotaxis-Consumption Model

作　　者：陈越 牛聪 

机构地区：[1]辽宁师范大学数学学院,辽宁 大连

出　　处：《理论数学》2023年第11期3139-3145,共7页Pure Mathematics

摘　　要：趋化描述了生物有机体受化学信号刺激所产生的偏向性运动,它在生物学、化学、医学等学科领域有着广泛的应用。本文研究齐次Neumann边界条件下的具次线性敏感及带logistic源的趋化消耗模型:,其中μ,χ > 0,r∈ℝ,α∈(0,1)和k > 1。在一维情形下,模型存在整体有界的古典解。Chemotaxis describes the biased movement of biological organisms stimulated by chemical signals. It is widely used in biology, chemistry, medicine and other fields. In this paper, a sublinear sensitive chemotactic-consumption model with logistic source under homogeneous Neumann boundary conditions is studied:, where μ,χ > 0, r∈ℝ, α∈(0,1) and k > 1. In the one-dimensional case, the model has a globally bounded classical solution.

关 键 词：趋化消耗 次线性敏感 Logistic源 整体有界性 

分 类 号：O17[理学—数学]