论文标题

最近在印度的Covid-19爆发的解密动力:一种年龄结构化建模

Deciphering dynamics of recent COVID-19 outbreak in India: An age-structured modeling

论文作者

Bajiya, Vijay Pal, Tripathi, Jai Prakash, Upadhyay, Ranjit Kumar

论文摘要

传染病的传播动态对社会接触模式特别敏感,人们采取的预防措施限制了疾病的传播。这取决于社区的年龄分布。因此,了解感染性疾病的年龄$ - 特定的患病率和发病率对于预测未来疾病负担以及免疫措施等干预措施的疗效至关重要。这项研究使用SEIR Age $ - $结构化的多组流行模型来了解社会接触如何影响疾病的控制。我们创建了社区中的位置$ - $特定的社交联系矩阵,以了解社会混合如何影响疾病的传播。我们估计了系统的基本复制号$(R_0)$,并以$ r_0 $的价格绘制了其全球行为。对问题的最佳控制也已定量建立。据估计,从2020年9月1日到2020年12月31日,拟议模型的传输率也估计。我们通过允许参与者阶段重返工作并研究了这一影响来复制非药物疗法的解除。我们的发现表明,确定有症状的病人$ 20-49 $可以帮助降低学校关闭后的感染人数。当某些学校部分开放时,对有症状感染的人的意识有助于减少病例。模拟结果还表明,限制学校和其他会议领域的接触可能会大大降低实例数量。使用最不平方的方法,发现与印度的Covid $ -19 $的恒定分价率更现实。为了减少$ -19美元的负担,我们发现逐渐松开控制方法可能会变平并降低其他峰值。我们的发现可以帮助卫生决策者决定及时的年龄 - 基于$ - 基于$的免疫分配策略,从而控制疾病。

Infectious disease transmission dynamics are particularly sensitive to social contact patterns, and the precautions people take to limit disease transmission. It depends on the age distribution of the community. Thus, knowing the age$-$specific prevalence and incidence of infectious diseases is critical for predicting future disease burden and the efficacy of interventions like immunization. This study uses an SEIR age$-$structured multi-group epidemic model to understand how social contact affects disease control. We created location$-$specific social contact matrices in the community to see how social mixing has affected illness spread. We estimated the basic reproduction number $(R_0)$ of the system and plotted its global behavior in terms of $R_0$. Optimal control for the problem has also been established quantitatively. The proposed model's transmission rate for India from September 1, 2020, to December 31, 2020, has also been estimated. We replicated the lifting of non-pharmaceutical therapies by allowing participants to return to work in phases and studied the impact of this. Our findings imply that identifying symptomatic sick people aged $20-49$ can help lower the number of infected people when schools are closed. When some schools are partially open, awareness of symptomatic infected persons helps reduce cases. The simulation results also suggest that limiting contact at school and other meeting areas could significantly lower the number of instances. Using the least square approach, it was discovered that the time$-$dependent transmission rate is more realistic than the constant spread rate for COVID$-19$ in India. To reduce the COVID$-19$ in burden, we found that gradually loosening control methods could flatten and lower other peaks. Our findings may help health policymakers decide on timely age$-$based immunization distribution strategies and hence control the disease.

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