西北师范大学学报（自然科学版）2011，Vol.47Issue(1)：12-16,5.
一类离散SISV传染病模型的理论与仿真分析
Theory and simulation analysis of a discrete-time SISV epidemic model
摘要
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 bifurcation at certain parameter values. Above the threshold the model is uniformly persistent. In the case that the total population dynamics is overcompensatory, simulation show while the total population dynamics undergoes period-doubling bifurcation route to chaos, the susceptive population dynamics,infective population dynamics and vaccinal population dynamics also undergo period-doubling bifurcation route to chaos.关键词
离散传染病模型/动力学性态/平衡点/稳定性分类
数理科学引用本文复制引用
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):12-16,5.基金项目
国家自然科学基金资助项目(11071256) （11071256）
陕西省自然科学基金资助项目(SJ08-ZT13) （SJ08-ZT13）
