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一类S-I传染病模型行波解的存在性 被引量：5

Travelling Wave Solutions in a Type of SI Epidemic Model with Diffusion
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摘要 本文研究了一类具有扩散且是非线性传染率的SI传染病模型,分析了模型的行波解的存在性条件,给出了最小波速与产生单调和振荡行波解的条件,并且进行了计算机仿真. This paper we study a type of SI epidemic model with a nonlinear incidence rate and have self-diffusion, analyze the existence of traveling wave solutions in this model, obtain the minimal wave speed, we also validate our result used computer.
作者 霍罡 靳祯 张芬芬
机构地区 中北大学理学院
出处 《生物数学学报》 CSCD 北大核心 2008年第4期661-667,共7页 Journal of Biomathematics
基金 国家自然科学基金资助项目(60771026) 新世纪优秀人才支持计划资助项目(NCET050271) 山西省自然科学基金资助项目(2006011009).
关键词 传染病模型 反应扩散方程 全局渐近稳定 边界条件 行波解 Epidemic model Reaction-diffusion equation Global asymptotic stability Boundary condition Traveling wave solution
分类号 O241.8 [理学—计算数学]
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参考文献17

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二级参考文献8

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共引文献10

同被引文献31

引证文献5

二级引证文献2

生物数学学报
2008年 第4期

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