欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
本文讨论了一类分数阶SIR流行病模型的稳定性问题．对不考虑疾病治疗的情形，利用特征值分析的方法分析了其平衡点的稳定性，并在一定条件下证明了模型一致稳态正解的存在唯一性；在此基础上，进一步考虑了具有治疗的分数阶SIR流行病模型的平衡点的稳定性，得到了其后向分支发生的条件．最后通过数值仿真验证了所得结论的正确性．
英文摘要：
In this paper, the stability of a kind of fractional order SIR epidemic model is investigated. For the case with no disease treatment, the stabilities of the equilibria are obrained by analyzing the eigenwlues of the model, and under certain conditions the existence and uniqueness of the uniformly steady-state solution is proved. Basis on above, we further consider the stabilities of the equilibria of the fractional order SIR epidemic model with treatment and obtain the condition for the occurring of backward bifurcation. Numerical simulations have been performed to verify the correctness of the obtained results.
同期刊论文项目
同项目期刊论文
期刊信息
位置：