GLOBAL STABILITY OF SIVS MODEL WITH SATURATION INCIDENCE, INFECTION AGE AND IMPULSIVE VACCINATED RATE |
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| Authors: | Junyuan Yang Xiaoyan Wang Xuezhi Li Fengqin Zhang |
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| Institution: | Junyuan Yang 1,2,Xiaoyan Wang 1,Xuezhi Li 3,Fengqin Zhang 1 (1. Dept. of Applied Math.,Yuncheng University,Yuncheng 044000,Shanxi,2. Beijing Institute of Information and Control,Beijing 100037,3. Dept. of Math.,Xinyang Normal University,Xinyang 464000,Henan) |
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| Abstract: | In this paper, an impulsive vaccinated strategy to eradicate SIVS epidemic model is studied. Since infection age is an important factor of epidemic progression, we incorporate the infection age into the model. In this model, we analyze the dynamic behaviors of this model and obtain that there exists an infection-free periodic solution which is globally asymptotically stable under a sufficient condition. Our results indicate that a short period of pulse or a large pulse vaccination rate is the sufficient con... |
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| Keywords: | SIVS model vaccinated rate global attractor |
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