Optimal Control Harmony: Navigating Deterministic and Stochastic Realms with a Two-Strain Model Using Pontryagin’s Maximum Principle.
In this paper, we study optimal control solutions using a two-strain SARS-CoV-2 deterministic epidemic model characterized by standard incidence, alongside a two-strain stochastic model incorporating a random transmission rate. We present proofs demonstrating the existence, uniqueness, and boundedne...
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| Format: | Article |
| Language: | English |
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Kabale University
2024
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| Online Access: | http://hdl.handle.net/20.500.12493/2411 |
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| author | Kayanja, Andrew Abola, Benard Kikawa, Cliff R. Oyo, Benedict Ssematima, Amos |
| author_facet | Kayanja, Andrew Abola, Benard Kikawa, Cliff R. Oyo, Benedict Ssematima, Amos |
| author_sort | Kayanja, Andrew |
| collection | KAB-DR |
| description | In this paper, we study optimal control solutions using a two-strain SARS-CoV-2 deterministic epidemic model characterized by standard
incidence, alongside a two-strain stochastic model incorporating a random transmission rate. We present proofs demonstrating the existence, uniqueness, and boundedness of a positive solution for any positive initial value for both models. An algorithm for simulating the ensemble average optimal control solution is introduced and it realism is compared to both stochastic and deterministic solutions. Additionally, we include graphical representations to illustrate the dynamics and outcomes of our models. Our findings suggest that ensemble average optimal control simulations may offer enhanced visualization and realism compared to both stochastic and deterministic solutions. |
| format | Article |
| id | oai:idr.kab.ac.ug:20.500.12493-2411 |
| institution | KAB-DR |
| language | English |
| publishDate | 2024 |
| publisher | Kabale University |
| record_format | dspace |
| spelling | oai:idr.kab.ac.ug:20.500.12493-24112024-11-28T00:01:27Z Optimal Control Harmony: Navigating Deterministic and Stochastic Realms with a Two-Strain Model Using Pontryagin’s Maximum Principle. Kayanja, Andrew Abola, Benard Kikawa, Cliff R. Oyo, Benedict Ssematima, Amos Optimal Control Harmony Navigating Deterministic Stochastic Realms Two-Strain Model Pontryagin’s Maximum Principle In this paper, we study optimal control solutions using a two-strain SARS-CoV-2 deterministic epidemic model characterized by standard incidence, alongside a two-strain stochastic model incorporating a random transmission rate. We present proofs demonstrating the existence, uniqueness, and boundedness of a positive solution for any positive initial value for both models. An algorithm for simulating the ensemble average optimal control solution is introduced and it realism is compared to both stochastic and deterministic solutions. Additionally, we include graphical representations to illustrate the dynamics and outcomes of our models. Our findings suggest that ensemble average optimal control simulations may offer enhanced visualization and realism compared to both stochastic and deterministic solutions. 2024-11-27T08:12:29Z 2024-11-27T08:12:29Z 2024 Article Kayanja, A. et al. (2024). Optimal Control Harmony: Navigating Deterministic and Stochastic Realms with a Two-Strain Model Using Pontryagin’s Maximum Principle. Kabale: Kabale University. http://hdl.handle.net/20.500.12493/2411 en Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ application/pdf Kabale University |
| spellingShingle | Optimal Control Harmony Navigating Deterministic Stochastic Realms Two-Strain Model Pontryagin’s Maximum Principle Kayanja, Andrew Abola, Benard Kikawa, Cliff R. Oyo, Benedict Ssematima, Amos Optimal Control Harmony: Navigating Deterministic and Stochastic Realms with a Two-Strain Model Using Pontryagin’s Maximum Principle. |
| title | Optimal Control Harmony: Navigating Deterministic and Stochastic Realms with a Two-Strain Model Using Pontryagin’s Maximum Principle. |
| title_full | Optimal Control Harmony: Navigating Deterministic and Stochastic Realms with a Two-Strain Model Using Pontryagin’s Maximum Principle. |
| title_fullStr | Optimal Control Harmony: Navigating Deterministic and Stochastic Realms with a Two-Strain Model Using Pontryagin’s Maximum Principle. |
| title_full_unstemmed | Optimal Control Harmony: Navigating Deterministic and Stochastic Realms with a Two-Strain Model Using Pontryagin’s Maximum Principle. |
| title_short | Optimal Control Harmony: Navigating Deterministic and Stochastic Realms with a Two-Strain Model Using Pontryagin’s Maximum Principle. |
| title_sort | optimal control harmony navigating deterministic and stochastic realms with a two strain model using pontryagin s maximum principle |
| topic | Optimal Control Harmony Navigating Deterministic Stochastic Realms Two-Strain Model Pontryagin’s Maximum Principle |
| url | http://hdl.handle.net/20.500.12493/2411 |
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