A model for the dynamics of COVID-19 infection transmission in human with latent delay
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910780565225472 |
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| author | Chatterjee, Amar N. Abraha, Teklebirhan Basir, Fahad Al Torres, Delfim F. M. |
| author_facet | Chatterjee, Amar N. Abraha, Teklebirhan Basir, Fahad Al Torres, Delfim F. M. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_12315 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A model for the dynamics of COVID-19 infection transmission in human with latent delay Chatterjee, Amar N. Abraha, Teklebirhan Basir, Fahad Al Torres, Delfim F. M. Populations and Evolution Dynamical Systems Cell Behavior 34H20, 34K20, 92-10 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. |
| title | A model for the dynamics of COVID-19 infection transmission in human with latent delay |
| topic | Populations and Evolution Dynamical Systems Cell Behavior 34H20, 34K20, 92-10 |
| url | https://arxiv.org/abs/2412.12315 |