| 一类具年龄结构非自治传染病模型零平衡解的全局渐近稳定性 |
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| 引用本文： | 陈林,闫萍. 一类具年龄结构非自治传染病模型零平衡解的全局渐近稳定性[J]. 内蒙古大学学报(自然科学版), 2011, 42(1): 1-11 |
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| 作者姓名： | 陈林 闫萍 |
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| 作者单位： | 1. 伊犁师范学院数学系,新疆,伊宁,835000
2. 安徽农业大学理学院,合肥,230036;新疆大学数学与系统科学学院,乌鲁木齐,830046 |
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| 基金项目： | 伊犁师范学院2009年度科研计划资助项目，新疆高校科研计划重点资助项目 |
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| 摘 要： | 建立了一类具有年龄结构和病程结构的传染病模型(SIS).分析了具有构造性迭代序列的模型的全局动力学性态并计算出了基本再生数R0.具体说明了基本再生数R0对整个动力学性态起到的阈值作用.也就是说,当R0<1时,零平衡解是全局渐近稳定的,当R0>1时,零平衡解是不稳定的,此时具有唯一的正平衡解.
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| 关 键 词： | 年龄结构 病程 稳定性 基本再生数 存在唯一性 |
Global Asymptotic Stability of the Zero Equilibrium Solution for a Class of Non-autonomous Epidemic Model with Age Structure |
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| CHEN Lin,YAN Ping. Global Asymptotic Stability of the Zero Equilibrium Solution for a Class of Non-autonomous Epidemic Model with Age Structure[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2011, 42(1): 1-11 |
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| Authors: | CHEN Lin YAN Ping |
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| Affiliation: | CHEN Lin1,YAN Ping2,3(1.Department of Mathematics,Yili Normal University,Yining 835000,China,2.School of Science,Anhui Agricultural University,Hefei 230036,3.College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,China) |
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| Abstract: | A general SIS model with chronological age and infection age structure is formulated.The global dynamic behavious of the model with a constructive iteration procedure are analyzed.The base productive number R0 is calculated by using the next generation operator approach.It is showed that R0 plays a sharp threshold role in determining the global dynamic behavious,i.e.,the zero equilibrium solution is globally asymptotically stable if R0 < 1,while the zero equilibrium solution is unstable and exists a unique ... |
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| Keywords: | age-structure infection age stability basic reproductive number existence and uniqueness |
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