A model for the dynamics of COVID-19 infection transmission in human with latent delay

IF 0.9 Q2 MATHEMATICS Afrika Matematika Pub Date : 2025-01-11 DOI:10.1007/s13370-024-01226-0
Amar N. Chatterjee, Teklebirhan Abraha, Fahad Al Basir, Delfim F. M. Torres
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Abstract

In this research, we have derived a mathematical model for within human dynamics of COVID-19 infection using delay differential equations. The new model considers a ’latent period’ and ’the time for immune response’ as delay parameters, allowing us to study the effects of time delays in human COVID-19 infection. We have determined the equilibrium points and analyzed their stability. The disease-free equilibrium is stable when the basic reproduction number, \(R_0\), is below unity. Stability switch of the endemic equilibrium occurs through Hopf-bifurcation. This study shows that the effect of latent delay is stabilizing whereas immune response delay has a destabilizing nature.

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具有潜伏延迟的COVID-19人感染传播动力学模型
在这项研究中,我们利用延迟微分方程推导了COVID-19感染人体动力学的数学模型。新模型将“潜伏期”和“免疫反应时间”作为延迟参数,使我们能够研究时间延迟对人类COVID-19感染的影响。我们确定了平衡点并分析了它们的稳定性。当基本繁殖数\(R_0\)低于1时,无病平衡是稳定的。地方性平衡的稳定性切换是通过hopf分岔实现的。本研究表明,潜伏延迟的作用是稳定的,而免疫反应延迟具有不稳定的性质。
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来源期刊
Afrika Matematika
Afrika Matematika MATHEMATICS-
CiteScore
2.00
自引率
9.10%
发文量
96
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