| 一类分数阶SIQS传染病模型的稳定性分析 |
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| 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(1):1-4. |
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| 作者姓名： | 周学勇 杨皦蓉 齐龙兴 |
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| 作者单位： | 信阳师范学院数学与统计学院;安徽大学数学科学学院; |
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| 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.
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| 关 键 词： | 分数阶 SIQS模型 稳定性 |
Analysis of Stability for a Fractional Order SIQS Model |
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| Institution: | ,College of Mathematics and Statistics,Xinyang Normal University,School of Mathematical Sciences,Anhui University |
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| 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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| Keywords: | fractional order SIQS model stability |
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