Optimal control of infectious diseases using vaccination and treatment
Purpose: This paper aims to investigate the proposed mathematical model using the optimal control strategy to prevent the spread of the disease on the model. For this purpose, an optimal control problem with the objective function is introduced, and vaccination and treatment are considered control v...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | fas |
| Published: |
Ayandegan Institute of Higher Education, Tonekabon,
2024-08-01
|
| Series: | تصمیم گیری و تحقیق در عملیات |
| Subjects: | |
| Online Access: | https://www.journal-dmor.ir/article_208488_0fcf0a8b40f9b171a378747739f11ad8.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832577806010155008 |
|---|---|
| author | Maryam Nikbakht |
| author_facet | Maryam Nikbakht |
| author_sort | Maryam Nikbakht |
| collection | DOAJ |
| description | Purpose: This paper aims to investigate the proposed mathematical model using the optimal control strategy to prevent the spread of the disease on the model. For this purpose, an optimal control problem with the objective function is introduced, and vaccination and treatment are considered control variables.Methodology: In this study, the necessary control conditions and the existence of optimal control are expressed by applying the control to the SIR-differential equation system. The experimental results are compared with those obtained from the fourth-order runge-kutta scheme. It should be noted that the proposed model is a public model suggested for contagious diseases and can be used as a method to prevent the spread of diseases such as influenza, coronavirus, and other infectious diseases.Findings: Numerical simulation, considered in a 90-day period, shows that using appropriate optimal control of vaccination and treatment will limit disease transmission and reduce the number of infected and infected people. The number of improved people also increases.Originality/Value: Vaccination and treatment are two controls that may be used to control the spread of disease in society. Therefore, the results are analyzed from a mathematical point of view by applying control over the model, which is considered in two cases of vaccination and treatment. |
| format | Article |
| id | doaj-art-43762ae1eca74237bfa330e760d882ce |
| institution | Kabale University |
| issn | 2538-5097 2676-6159 |
| language | fas |
| publishDate | 2024-08-01 |
| publisher | Ayandegan Institute of Higher Education, Tonekabon, |
| record_format | Article |
| series | تصمیم گیری و تحقیق در عملیات |
| spelling | doaj-art-43762ae1eca74237bfa330e760d882ce2025-01-30T15:03:45ZfasAyandegan Institute of Higher Education, Tonekabon,تصمیم گیری و تحقیق در عملیات2538-50972676-61592024-08-019254155010.22105/dmor.2024.471051.1862208488Optimal control of infectious diseases using vaccination and treatmentMaryam Nikbakht0Department of Mathematics, Payame Noor University, Tehran, Iran.Purpose: This paper aims to investigate the proposed mathematical model using the optimal control strategy to prevent the spread of the disease on the model. For this purpose, an optimal control problem with the objective function is introduced, and vaccination and treatment are considered control variables.Methodology: In this study, the necessary control conditions and the existence of optimal control are expressed by applying the control to the SIR-differential equation system. The experimental results are compared with those obtained from the fourth-order runge-kutta scheme. It should be noted that the proposed model is a public model suggested for contagious diseases and can be used as a method to prevent the spread of diseases such as influenza, coronavirus, and other infectious diseases.Findings: Numerical simulation, considered in a 90-day period, shows that using appropriate optimal control of vaccination and treatment will limit disease transmission and reduce the number of infected and infected people. The number of improved people also increases.Originality/Value: Vaccination and treatment are two controls that may be used to control the spread of disease in society. Therefore, the results are analyzed from a mathematical point of view by applying control over the model, which is considered in two cases of vaccination and treatment.https://www.journal-dmor.ir/article_208488_0fcf0a8b40f9b171a378747739f11ad8.pdfoptimal controlsir modelnumerical simulationinfection diseasevaccinations and treatment |
| spellingShingle | Maryam Nikbakht Optimal control of infectious diseases using vaccination and treatment تصمیم گیری و تحقیق در عملیات optimal control sir model numerical simulation infection disease vaccinations and treatment |
| title | Optimal control of infectious diseases using vaccination and treatment |
| title_full | Optimal control of infectious diseases using vaccination and treatment |
| title_fullStr | Optimal control of infectious diseases using vaccination and treatment |
| title_full_unstemmed | Optimal control of infectious diseases using vaccination and treatment |
| title_short | Optimal control of infectious diseases using vaccination and treatment |
| title_sort | optimal control of infectious diseases using vaccination and treatment |
| topic | optimal control sir model numerical simulation infection disease vaccinations and treatment |
| url | https://www.journal-dmor.ir/article_208488_0fcf0a8b40f9b171a378747739f11ad8.pdf |
| work_keys_str_mv | AT maryamnikbakht optimalcontrolofinfectiousdiseasesusingvaccinationandtreatment |