霍普夫分叉
跨临界分岔
数学
应用数学
分叉理论的生物学应用
分叉
理论(学习稳定性)
鞍结分岔
分岔图
微分方程
博格达诺夫-塔肯分岔
分岔理论
数学分析
定性分析
非线性系统
计算机科学
物理
定性研究
量子力学
机器学习
社会科学
社会学
作者
Zhujun Jing,Zhengrong Liu
摘要
In this paper a mathematical model of AIDS is investigated. The conditions of the existence of equilibria and local stability of equilibria are given. The existences of transcritical bifurcation and Hopf bifurcation are also considered, in particular, the conditions for the existence of Hopf bifurcation can be given in terms of the coefficients of the characteristic equation. The method extends the application of the Hopf bifurcation theorem to higher differential equations which occur in biological models, chemical models, and epidemiological models etc.
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