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arXiv 2201.08224q-bio.PE
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以糖尿病为基础的SARS-Cov-2(Covid-19)传播动力学的数学模型

A Mathematical Model of Transmission Dynamics of SARS-Cov-2 (Covid-19) with an Underlying Condition of Diabetes

Samuel Okyere, Joseph Ackora-Prah, Ebenezer Bonyah

摘要:

众所周知,糖尿病患者更有可能因COVID-19而出现严重并发症。非洲地区近五分之一的COVID-19死亡与糖尿病有关。世界卫生组织(WHO)发现,非洲18.3%的COVID-19死亡病例是糖尿病患者。在本文中,我们制定和分析了一个确定型糖尿病- COVID-19的数学协方差模型。探讨了模型的基本性质。研究了基本再生数、平衡点和平衡点的稳定性。对模型进行了敏感性分析,确定了模型参数对模型基本再生数的影响。该模型存在唯一的地方病平衡点,当R_0>1时,平衡点是稳定的。在模型中加入了与时间有关的最佳控制措施,其唯一目的是确定减少疾病传播的最佳战略。加纳2020年3月至9月的COVID-19病例用于验证模型。数值模拟的结果表明,当受感染的个体具有糖尿病的潜在状况时,更多的个体死亡。更重要的是,COVID-19在加纳流行,基本繁殖数为R_0=1.4722。最佳控制模型的数值模拟显示,封锁控制使易感个体的衰减率降至最低,而疫苗接种则导致多名易感个体对COVID-19感染产生免疫力。由于COVID-19感染人数大幅减少,两项预防控制措施均有效遏制COVID-19疾病的传播。我们的结论是,应该更多地关注患有糖尿病基础疾病的COVID-19患者,因为该人群的死亡可能性显着更高。

英文摘要:

It is well established that people with diabetes are more likely to have serious complications from COVID-19. Nearly 1 in 5 COVID-19 deaths in the African region are linked to diabetes. World Health Organization (WHO) finds that 18.3% of COVID-19 deaths in Africa are among people with diabetes. In this paper, we have formulated and analysed a mathematical comorbidity model of diabetes - COVID-19 of the deterministic type. The basic properties of the model were explored. The basic reproductive number, equilibrium points and stability of the equilibrium points were examined. Sensitivity analysis of the model was carried on to determine the impact of the model parameters on the basic reproduction number of the model. The model had a unique endemic equilibrium point, which was stable for R_0>1. Time-dependent optimal controls were incorporated into the model with the sole aim of determining the best strategy for curtailing the spread of the disease. COVID-19 cases from March to September 2020 in Ghana were used to validate the model. Results of the numerical simulation suggest a greater number of individuals deceased when the infected individual had an underlying condition of diabetes. More so COVID-19 is endemic in Ghana with the basic reproduction number found to be R_0=1.4722. The numerical simulation of the optimal control model reveals the lockdown control minimized the rate of decay of the susceptible individuals whereas the vaccination led to a number of susceptible individuals becoming immune to COVID-19 infections. In all the two preventive control measures were both effective in curbing the spread of the COVID-19 disease as the number of COVID-19 infections was greatly reduced. We conclude that more attention should be paid to COVID-19 patients with an underlying condition of diabetes as the probability of death in this population was significantly higher.

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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