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Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
Journal of Applied Mathematics and Computing ( IF 2.4 ) Pub Date : 2021-03-22 , DOI: 10.1007/s12190-021-01515-y
M M Hikal 1, 2 , M M A Elsheikh 3 , W K Zahra 1, 4
Affiliation  

This study presents methods of hygiene and the use of masks to control the disease. The zero basic reproduction number can be achieved by taking the necessary precautionary measures that prevent the transmission of infection, especially from uninfected virus carriers. The existence of time delay in implementing the quarantine strategy and the threshold values of the time delay that keeping the stability of the system are established. Also, it is found that keeping the infected people quarantined immediately is very important in combating and controlling the spread of the disease. Also, for special cases of the system parameters, the time delay can not affect the asymptotic behavior of the disease. Finally, numerical simulations have been illustrated to validate the theoretical analysis of the proposed model.



中文翻译:

具有分数阶导数的 COVID-19 模型的稳定性分析和实施隔离策略的延迟

本研究介绍了卫生方法和使用口罩来控制疾病。通过采取必要的预防措施来防止感染传播,尤其是未感染病毒携带者的传播,可以实现零基本繁殖数。建立隔离策略实施时延的存在性和维持系统稳定的时延阈值。此外,发现立即隔离感染者对于抗击和控制疾病的传播非常重要。此外,对于系统参数的特殊情况,时间延迟不会影响疾病的渐近行为。最后,数值模拟已经说明,以验证所提出模型的理论分析。

更新日期:2021-03-23
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