arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.14575q-bio.PEphysics.soc-ph
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预测印度COVID-19大流行每日和累积病例数

Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India

Subhas Khajanchi, Kankan Sarkar

摘要:

持续的新型冠状病毒疫情已于二零二零年三月十一日被世界卫生组织宣布为大流行,而印度政府已宣布自二零二零年三月二十五日起在全国范围内实施封锁,以防止COVID-19的社区传播。由于缺乏特异性抗病毒药物或疫苗,数学建模在更好地理解疾病动态和设计控制快速传播的传染病的策略方面发挥着重要作用。在我们的研究中,我们开发了一个新的房室模型,解释了COVID-19的传播动力学。我们使用印度恰尔肯德邦、古吉拉特邦、安得拉邦和昌迪加尔四个省的每日COVID-19数据校准了我们提出的模型。我们研究了模型的定性性质,包括可行平衡点及其关于基本再生数$\mathcal{R}_0$的稳定性。无病平衡点随着感染者恢复率的增加而稳定,地方病平衡点随着感染者恢复率的增加而不稳定,但当疾病传播率保持较高时,地方病平衡点始终保持稳定。对于估计的模型参数,所有四个省的$\mathcal{R}_0 >1$,这表明COVID-19的重大爆发。短期预测显示,印度四个省的COVID-19每日和累积病例呈上升趋势。

英文摘要:

The ongoing novel coronavirus epidemic has been announced a pandemic by the World Health Organization on March 11, 2020, and the Govt. of India has declared a nationwide lockdown from March 25, 2020, to prevent community transmission of COVID-19. Due to absence of specific antivirals or vaccine, mathematical modeling play an important role to better understand the disease dynamics and designing strategies to control rapidly spreading infectious diseases. In our study, we developed a new compartmental model that explains the transmission dynamics of COVID-19. We calibrated our proposed model with daily COVID-19 data for the four Indian provinces, namely Jharkhand, Gujarat, Andhra Pradesh, and Chandigarh. We study the qualitative properties of the model including feasible equilibria and their stability with respect to the basic reproduction number $\mathcal{R}_0$. The disease-free equilibrium becomes stable and the endemic equilibrium becomes unstable when the recovery rate of infected individuals increased but if the disease transmission rate remains higher then the endemic equilibrium always remain stable. For the estimated model parameters, $\mathcal{R}_0 >1$ for all the four provinces, which suggests the significant outbreak of COVID-19. Short-time prediction shows the increasing trend of daily and cumulative cases of COVID-19 for the four provinces of India.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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