Optimal control for co-infection with COVID-19-Associated Pulmonary Aspergillosis in ICU patients with environmental contamination
In this paper, we propose a mathematical model for COVID-19-Associated Pulmonary Aspergillosis (CAPA) co-infection, that enables the study of relationship between prevention and treatment. The next generation matrix is employed to find the reproduction number. We enhanced the co-infection model by i...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-03-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023432?viewType=HTML |
| _version_ | 1797844388229939200 |
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| author | Nandhini Mohankumar Lavanya Rajagopal Juan J. Nieto |
| author_facet | Nandhini Mohankumar Lavanya Rajagopal Juan J. Nieto |
| author_sort | Nandhini Mohankumar |
| collection | DOAJ |
| description | In this paper, we propose a mathematical model for COVID-19-Associated Pulmonary Aspergillosis (CAPA) co-infection, that enables the study of relationship between prevention and treatment. The next generation matrix is employed to find the reproduction number. We enhanced the co-infection model by incorporating time-dependent controls as interventions based on Pontryagin's maximum principle in obtaining the necessary conditions for optimal control. Finally, we perform numerical experiments with different control groups to assess the elimination of infection. In numerical results, transmission prevention control, treatment controls, and environmental disinfection control provide the best chance of preventing the spread of diseases more rapidly than any other combination of controls. |
| first_indexed | 2024-04-09T17:21:51Z |
| format | Article |
| id | doaj.art-a8dfee0dc7264e5cb3bdb76571af88b1 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-09T17:21:51Z |
| publishDate | 2023-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-a8dfee0dc7264e5cb3bdb76571af88b12023-04-19T01:15:10ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-03-012069861987510.3934/mbe.2023432Optimal control for co-infection with COVID-19-Associated Pulmonary Aspergillosis in ICU patients with environmental contaminationNandhini Mohankumar0Lavanya Rajagopal1Juan J. Nieto21. Department of Mathematics, Coimbatore Institute of Technology, Tamilnadu, India1. Department of Mathematics, Coimbatore Institute of Technology, Tamilnadu, India2. CITMAga, Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainIn this paper, we propose a mathematical model for COVID-19-Associated Pulmonary Aspergillosis (CAPA) co-infection, that enables the study of relationship between prevention and treatment. The next generation matrix is employed to find the reproduction number. We enhanced the co-infection model by incorporating time-dependent controls as interventions based on Pontryagin's maximum principle in obtaining the necessary conditions for optimal control. Finally, we perform numerical experiments with different control groups to assess the elimination of infection. In numerical results, transmission prevention control, treatment controls, and environmental disinfection control provide the best chance of preventing the spread of diseases more rapidly than any other combination of controls.https://www.aimspress.com/article/doi/10.3934/mbe.2023432?viewType=HTMLco-infectioncapahospital environmentreproduction numberoptimal control |
| spellingShingle | Nandhini Mohankumar Lavanya Rajagopal Juan J. Nieto Optimal control for co-infection with COVID-19-Associated Pulmonary Aspergillosis in ICU patients with environmental contamination Mathematical Biosciences and Engineering co-infection capa hospital environment reproduction number optimal control |
| title | Optimal control for co-infection with COVID-19-Associated Pulmonary Aspergillosis in ICU patients with environmental contamination |
| title_full | Optimal control for co-infection with COVID-19-Associated Pulmonary Aspergillosis in ICU patients with environmental contamination |
| title_fullStr | Optimal control for co-infection with COVID-19-Associated Pulmonary Aspergillosis in ICU patients with environmental contamination |
| title_full_unstemmed | Optimal control for co-infection with COVID-19-Associated Pulmonary Aspergillosis in ICU patients with environmental contamination |
| title_short | Optimal control for co-infection with COVID-19-Associated Pulmonary Aspergillosis in ICU patients with environmental contamination |
| title_sort | optimal control for co infection with covid 19 associated pulmonary aspergillosis in icu patients with environmental contamination |
| topic | co-infection capa hospital environment reproduction number optimal control |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023432?viewType=HTML |
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