[1]周 桦,林支桂.一类变异的禽流感模型的定性分析[J].常州大学学报(自然科学版),2008,(04):73-75.
　Z H OU H ua,LIN Z hi- gui.Qualitative Analysis of a Mutant Avian Influenza Model[J].Journal of Changzhou University(Natural Science Edition),2008,(04):73-75.
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一类变异的禽流感模型的定性分析()
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常州大学学报(自然科学版)[ISSN:2095-0411/CN:32-1822/N]

卷:
期数:
2008年04期
页码:
73-75
栏目:
出版日期:
2008-12-25

文章信息/Info

Title:
Qualitative Analysis of a Mutant Avian Influenza Model
作者:
周 桦1 ;  林支桂2
1. 江苏工业学院 数理学院, 江苏 常州 21 31 64
Author(s):
Z H OU H ua1 ;  LIN Z hi- gui2
1. School of M athematics and P hy sics , Jiangs u Po lytechnic U nivers ity, Changz ho u 2131 64, China
关键词:
反应扩散方程组;  禽流感;  传染病;  稳定性;  Lyapun ov 泛函
Keywords:
reaction- diffusion sys tem s;  avian influenza;  endemic;  s tability;  Lyapunov functional
分类号:
O 175. 26
文献标志码:
A
摘要:
考虑具扩散的传染病模型, 该模型描述了 禽流感在鸟 类和人类中的传 播, 研究相应的 具齐次 N eumann 边界 条件反应 扩 散方程组解的渐近性质。 结果表明如果染病鸟类的接触率和染病人类的接触率小的话, 全系统的无病平衡 点是渐近稳定 的; 但 当染病鸟类的接触率大或者和染病人类的接触率大时, 变异的禽流感将在人类中扩散。
Abstract:
This paper is concer ned with an epidemic model with diffusion describing the transmission of avian influenz a among birds and humans , and considered the as ymptotic behavior of the corres ponding reaction- diffusion equations with homogeneous N eumann boundary conditions . The result shows that the disease- free equilibrium is locally asym ptotically stable if the contactrate for the susceptible birds and the contact rate for the susceptible humans are small. But if the contact rate for the susceptible birds or for the susceptible humans is big, mutant avian influenza spreads in the human world.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目 : 国家自 然科学基金资助项目 ( 106711 72) ; 江苏省教育厅自 然科学基金资助项目 ( B K2006064) 作者简介: 周桦 ( 1971 - ) , 女, 江苏常州人, 硕士, 主要从事偏微分方程理论和应用研究。
更新日期/Last Update: 2008-12-25