高维具有间接信号生成的趋化模型解的有界性  

Boundedness in Higher-dimensional Chemotaxis-growth System with Indirect Signal Production

作　　者：张云 辛巧 ZHANG Yun;XIN Qiao(College of Mathematics and Statistics,Yili Normal University,Yining 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《长春师范大学学报》2023年第12期12-17,共6页Journal of Changchun Normal University

基　　金：伊犁师范大学科研创新团队“偏微分方程理论及其应用创新团队”(CXZK2021018)。

摘　　要：在齐次Neumann边界条件下,考虑了一类具有间接信号生成且带有Logistic源的生物趋化模型,通过适当的先验估计,利用常数变易法,证明了在适当的参数条件下,该模型解的全局有界性.This work proves that the chemotaxis-growth system possesses a globally solution under the homogeneous Neumann boundary condition.By the methods of variation-of-constants,we obtain that this system possesses a globally bounded classical solution under the suitable parameters conditions.

关 键 词：趋化 有界性 间接信号生成 Logistic源 

分 类 号：O175.26[理学—数学]