Influence of Infection Delay on the Covid-19 Pandemic with Vaccination Control: Modeling and Simulation
In this work, we formulate a mathematical model of the killer COVID-19 pandemic with time delay and some governmental measures that include vaccine subsidies to understand the dynamic behavior of COVID-19. For the dynamic study, a new model, SV1V2IR was used purposed in which infectious individuals...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2025-01-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3638 |
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| author | Rami Raad Saadi Hassan F. Al-Husseiny |
| author_facet | Rami Raad Saadi Hassan F. Al-Husseiny |
| author_sort | Rami Raad Saadi |
| collection | DOAJ |
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In this work, we formulate a mathematical model of the killer COVID-19 pandemic with time delay and some governmental measures that include vaccine subsidies to understand the dynamic behavior of COVID-19. For the dynamic study, a new model, SV1V2IR was used purposed in which infectious individuals were divided into five sub compartments. Our aim is to construct a more reliable and realistic model for a complete mathematical and computational analysis and design of different control strategies for the proposed deterministic model. We first obtain the basic reproduction number for the model is computed using a next-generation technique to predict the future dynamics of the pandemic. The local stability of the model was also investigated at each equilibrium point. The findings show that the time delay can produce a Hopf bifurcation for a SV1V2IR model. The obtained numerical results are discussed and predict through graphs.
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| format | Article |
| id | doaj-art-3ce0355e8be843d593897733d316b8ad |
| institution | Kabale University |
| issn | 1609-4042 2521-3407 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj-art-3ce0355e8be843d593897733d316b8ad2025-01-22T01:21:05ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072025-01-0138110.30526/38.1.3638Influence of Infection Delay on the Covid-19 Pandemic with Vaccination Control: Modeling and SimulationRami Raad Saadi0https://orcid.org/0000-0001-7892-237XHassan F. Al-Husseiny 1https://orcid.org/0009-0007-7883-5875Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq. In this work, we formulate a mathematical model of the killer COVID-19 pandemic with time delay and some governmental measures that include vaccine subsidies to understand the dynamic behavior of COVID-19. For the dynamic study, a new model, SV1V2IR was used purposed in which infectious individuals were divided into five sub compartments. Our aim is to construct a more reliable and realistic model for a complete mathematical and computational analysis and design of different control strategies for the proposed deterministic model. We first obtain the basic reproduction number for the model is computed using a next-generation technique to predict the future dynamics of the pandemic. The local stability of the model was also investigated at each equilibrium point. The findings show that the time delay can produce a Hopf bifurcation for a SV1V2IR model. The obtained numerical results are discussed and predict through graphs. https://jih.uobaghdad.edu.iq/index.php/j/article/view/3638Time delayedEquilibrium pointsCOVID-19 PandemicStabilityHopf BifurcationNumerical simulation |
| spellingShingle | Rami Raad Saadi Hassan F. Al-Husseiny Influence of Infection Delay on the Covid-19 Pandemic with Vaccination Control: Modeling and Simulation Ibn Al-Haitham Journal for Pure and Applied Sciences Time delayed Equilibrium points COVID-19 Pandemic Stability Hopf Bifurcation Numerical simulation |
| title | Influence of Infection Delay on the Covid-19 Pandemic with Vaccination Control: Modeling and Simulation |
| title_full | Influence of Infection Delay on the Covid-19 Pandemic with Vaccination Control: Modeling and Simulation |
| title_fullStr | Influence of Infection Delay on the Covid-19 Pandemic with Vaccination Control: Modeling and Simulation |
| title_full_unstemmed | Influence of Infection Delay on the Covid-19 Pandemic with Vaccination Control: Modeling and Simulation |
| title_short | Influence of Infection Delay on the Covid-19 Pandemic with Vaccination Control: Modeling and Simulation |
| title_sort | influence of infection delay on the covid 19 pandemic with vaccination control modeling and simulation |
| topic | Time delayed Equilibrium points COVID-19 Pandemic Stability Hopf Bifurcation Numerical simulation |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3638 |
| work_keys_str_mv | AT ramiraadsaadi influenceofinfectiondelayonthecovid19pandemicwithvaccinationcontrolmodelingandsimulation AT hassanfalhusseiny influenceofinfectiondelayonthecovid19pandemicwithvaccinationcontrolmodelingandsimulation |