The dynamics of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments

Lin Ling; Guirong Jiang; Tengfei Long

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The dynamics of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments

机译：具有固定时间出生脉冲和状态反馈脉冲治疗的SIS流行病模型的动力学

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摘要

Fixed-time birth pulse and state feedback pulse treatment are considered in an SIS epidemic model in this paper. The dynamical behavior is discussed by means of both theoretical and numerical analysis. The disease-free solution, trivial solution, epidemic periodic solutions, and permanence of the system are investigated. Moreover, numerical results for phase portraits, periodic solutions, and permanence of the system, which are illustrated with an example, are in good agreement with the theoretical analysis. The superiority of the mixed control strategy is also discussed.

机译：本文在SIS流行病模型中考虑了固定时间的出生脉冲和状态反馈脉冲治疗。通过理论和数值分析讨论了动力学行为。研究了无病解决方案，琐碎解决方案，流行病周期性解决方案和系统的持久性。此外，通过实例说明的相图，周期解和系统永久性的数值结果与理论分析非常吻合。还讨论了混合控制策略的优越性。

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来源
《Applied Mathematical Modelling》 |2015年第18期|5579-5591|共13页
作者
Lin Ling; Guirong Jiang; Tengfei Long;
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作者单位

School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China;

School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China;

School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Epidemic model; Birth pulse; Pulse treatment; Periodic solution;

机译：流行模型出生脉冲;脉冲治疗;定期解;

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1. Periodic solutions of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments [J] . Guirong Jiang, Suyu Liu, Lin Ling International journal of computer mathematics . 2014,第5期

机译：具有固定时间出生脉冲和状态反馈脉冲处理的SIS流行病模型的周期解
2. The dynamics of a stage structure population model with fixed-time birth pulse and state feedback control strategy [J] . Xiangsen Liu, Binxiang Dai Advances in Difference Equations . 2016,第1期

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3. The dynamics of a stage structure population model with fixed-time birth pulse and state feedback control strategy [J] . Xiangsen Liu, Binxiang Dai Advances in Difference Equations . 2016,第1期

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4. Dynamics of a Stochastic SIS Epidemic Model with Birth Pulses and Pulse Treatments [C] . Guoqiang Deng, Aimin Tang, Miaomiao Xing, International Conference on Computational Intelligence and Security . 2017

机译：带有出生脉冲和脉冲处理的随机SIS流行病模型的动力学
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6. Periodic solutions and bifurcation in an ... formula ... epidemic model with birth pulses [O] . Guirong Jiang, Qigui Yang -1

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7. The dynamics of a stage structure population model with fixed-time birth pulse and state feedback control strategy [O] . Xiangsen Liu, Binxiang Dai 2016

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The dynamics of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments

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