一类害虫流行病控制模型非常数正平衡解的存在性

J4 ›› 2011, Vol. 46 ›› Issue (3): 80-88.

一类害虫流行病控制模型非常数正平衡解的存在性

董春燕,伏升茂

西北师范大学数学与信息科学学院, 甘肃兰州 730070

收稿日期:2010-07-22 发布日期:2011-04-21
作者简介:董春燕(1984- ), 女, 硕士, 研究方向为偏微分方程及其应用. Email: dcyrain@126.com
基金资助:
国家自然科学基金资助项目(11061031)

The existence of non-constant positive steady state of an epidemic model for pest control

DONG Chun-yan, FU Sheng-mao

College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu， China

Received:2010-07-22 Published:2011-04-21

摘要/Abstract

摘要：

研究一类具有交错扩散的害虫流行病控制模型。讨论反应扩散系统惟一的正常数平衡解的全局稳定性,建立正平衡解上下界的先验估计,证明了交错扩散系统非常数正平衡解的存在性。

关键词: 害虫控制模型; 交错扩散; 全局稳定性; 平衡解

Abstract:

An epidemic model for pest control is studied in this paper. The global stability of a unique positive constant steady state for the reaction-diffusion system is analyzed, and then a prior upper and lower bounds for all possible positive steady state are established. Finally, the formation of a stationary pattern for a cross-diffusion system is proved.

Key words: pest control model; cross-diffusion; global stability; steady state

董春燕,伏升茂. 一类害虫流行病控制模型非常数正平衡解的存在性[J]. J4, 2011, 46(3): 80-88.

DONG Chun-yan, FU Sheng-mao. The existence of non-constant positive steady state of an epidemic model for pest control[J]. J4, 2011, 46(3): 80-88.

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