中央歧管
霍普夫分叉
数学
跨临界分岔
分叉
流行病模型
倍周期分岔
鞍结分岔
干草叉分叉
非线性系统
应用数学
理论(学习稳定性)
博格达诺夫-塔肯分岔
数学分析
数值分析
分叉理论的生物学应用
物理
计算机科学
人口
人口学
量子力学
机器学习
社会学
作者
Fenfen Zhang,Zhen Jin,Gui‐Quan Sun
标识
DOI:10.1016/j.amc.2010.01.074
摘要
In this paper, Hopf bifurcation for a delayed SIS epidemic model with stage structure and nonlinear incidence rate is investigated. Through theoretical analysis, we show the positive equilibrium stability and the conditions that Hopf bifurcation occurs. Applying the normal form theory and the center manifold argument, we derive the explicit formulas determining the properties of the bifurcating periodic solutions. In addition, we also study the effect of the inhibition effect on the properties of the bifurcating periodic solutions. To illustrate our theoretical analysis, some numerical simulations are also included.
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