| 一类离散SISV传染病模型的理论与仿真分析 |
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| 引用本文： | 董福安,危敏剑,于斌. 一类离散SISV传染病模型的理论与仿真分析[J]. 西北师范大学学报(自然科学版), 2011, 47(1) |
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| 作者姓名： | 董福安 危敏剑 于斌 |
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| 作者单位： | 空军工程大学理学院;94923部队; |
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| 基金项目： | 国家自然科学基金资助项目(11071256); 陕西省自然科学基金资助项目(SJ08-ZT13) |
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| 摘 要： | 引入相应的概率来描述个体的死亡、染病者的恢复、被接种者免疫的失去以及疾病的传染,建立了具有非线性发生率的离散SISV传染病模型.对于总种群动力学性态是补偿的情形,确定了决定其动力学性态的阈值,在阈值之下模型的无病平衡点是局部渐近稳定的,且仿真显示在一些参数取值下模型发生了后向分支,在阈值之上模型是一致持续的;对于总种群动力学性态是过度补偿的情形,仿真显示当总种群动力学性态出现倍周期和混沌现象时,易感类、染病类和被接种类也出现倍周期和混沌现象.
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| 关 键 词： | 离散传染病模型 动力学性态 平衡点 稳定性 |
Theory and simulation analysis of a discrete-time SISV epidemic model |
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| DONG Fu-an,WEI Min-jian,YU Bin. Theory and simulation analysis of a discrete-time SISV epidemic model[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2011, 47(1) |
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| Authors: | DONG Fu-an WEI Min-jian YU Bin |
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| Affiliation: | DONG Fu-an1,WEI Min-jian1,2,YU Bin1(1.College of Science,Air Force Engineering University,Xi'an 710051,Shaanxi,China,2.Unit 94923,Wuyishan 354301,Fujian,China) |
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| Abstract: | The probability is introduced to formulate the death of individuals,the recovery of the infected individuals,the loss immunity of the vaccinal individuals and incidence of epidemic disease.Discrete-time SISV epidemic model with nonlinear incidence rate is established.In case of the total population dynamic is compensator,the threshold determining its dynamical behavior is found.Below the threshold the disease-free equilibrium is locally asymptotically stable and simulation shows the model occurs backward bi... |
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| Keywords: | discrete-time epidemic model dynamical behavior equilibrium stability |
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