周学勇, 杨皦蓉, 齐龙兴. 一类分数阶SIQS传染病模型的稳定性分析[J]. 信阳师范学院学报(自然科学版), 2018, 31(1): 1-4. DOI: 10.3969/j.issn.1003-0972.2018.01.001
引用本文: 周学勇, 杨皦蓉, 齐龙兴. 一类分数阶SIQS传染病模型的稳定性分析[J]. 信阳师范学院学报(自然科学版), 2018, 31(1): 1-4. DOI: 10.3969/j.issn.1003-0972.2018.01.001
ZHOU Xueyong, YANG Jiaorong, QI Longxing. Analysis of Stability for a Fractional Order SIQS Model[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(1): 1-4. DOI: 10.3969/j.issn.1003-0972.2018.01.001
Citation: ZHOU Xueyong, YANG Jiaorong, QI Longxing. Analysis of Stability for a Fractional Order SIQS Model[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(1): 1-4. DOI: 10.3969/j.issn.1003-0972.2018.01.001

一类分数阶SIQS传染病模型的稳定性分析

Analysis of Stability for a Fractional Order SIQS Model

  • 摘要: 讨论了一类分数阶SIQS传染病模型,通过定性分析方法研究了该系统解的非负性和有界性,利用分数阶系统稳定性理论给出了该系统的平衡点及其局部稳定性,并数值模拟出其解的图形.

     

    Abstract: A class of fractional order SIQS model was considered. Through qualitative analysis, the non-negativity and boundedness of all solutions were studied, the equilibrium point and locally stability of the system were given by applying the stability theory of fractional order system. Finally, numerical simulations were provided to give the solution of the graph.

     

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