具有密度依赖扩散的捕食者-食饵趋化模型解的全局有界性
Global Boundedness of Solutions to a Predator-Prey Chemotaxis Model with Density-Dependent Diffusion} \affiliationENG{ College of Mathematics and Statistics, Chongqing University, Chongqing 401331
刘旭东 1穆春来1
作者信息
- 1. 重庆大学大学数学与统计学院学院，重庆 401331
- 折叠
摘要
本文研究了有界区域 $\Omega \subset \R^n$ 上具有密度依赖扩散的捕食者-食饵系统在齐次Neumann边界条件下的全局有界性。高维情形下产生的估计困难是本文分析的主要挑战。利用 $L^p$ 估计和Moser迭代,我们建立了经典解的全局有界性。
Abstract
This paper is concerned with the global boundedness of solutions to a predator-prey system with density-dependent diffusion in a bounded domain $\Omega \subset \mathbb{R}^n$ under homogeneous Neumann boundary conditions. The primary difficulty in the analysis stems from the estimates in high-dimensional cases. Utilizing $L^p$ estimates and Moser iteration, we prove the global boundedness of classical solutions.关键词
应用数学/趋化模型/捕食者-食饵/密度依赖扩散/有界性Key words
applied mathematics/chemotaxis model/predator-prey/density-dependent diffusion/boundedness引用本文复制引用
刘旭东,穆春来.具有密度依赖扩散的捕食者-食饵趋化模型解的全局有界性[EB/OL].(2026-03-26)[2026-03-27].http://www.paper.edu.cn/releasepaper/content/202603-262.学科分类
数学
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