Optimal Control Strategies for Dengue and Malaria Co-Infection Disease Model

Dengue and malaria fever infections are mosquito-borne diseases that pose significant threats to human health. There is an urgent need for effective strategies to prevent, control, and raise awareness about the public health risks of dengue and malaria. In this manuscript, we analyze a mathematical...

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Main Authors: Muhammad Imran, Brett Allen McKinney, Azhar Iqbal Kashif Butt, Pasquale Palumbo, Saira Batool, Hassan Aftab
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/1/43
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author Muhammad Imran
Brett Allen McKinney
Azhar Iqbal Kashif Butt
Pasquale Palumbo
Saira Batool
Hassan Aftab
author_facet Muhammad Imran
Brett Allen McKinney
Azhar Iqbal Kashif Butt
Pasquale Palumbo
Saira Batool
Hassan Aftab
author_sort Muhammad Imran
collection DOAJ
description Dengue and malaria fever infections are mosquito-borne diseases that pose significant threats to human health. There is an urgent need for effective strategies to prevent, control, and raise awareness about the public health risks of dengue and malaria. In this manuscript, we analyze a mathematical model that addresses the dynamics of dengue–malaria co-infection and propose optimal control strategies across four different scenarios to limit the spread of the disease. The results indicate that non-pharmaceutical interventions are the most effective and feasible standalone strategy, yielding significant reductions in disease transmission. Additionally, vector population control through spraying is identified as the second most significant method, with a proportional decrease in disease prevalence corresponding to the reduction in the mosquito population. While pharmaceutical treatments alone do not fully eradicate the disease, they do contribute to its containment. Notably, the combination of vector control and non-pharmaceutical strategies proved to be the most effective approach, ensuring rapid disease eradication. These findings emphasize the importance of integrated interventions in managing co-infection dynamics and highlight the vital role of prevention-oriented strategies.
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spelling doaj-art-d97f48a610814efcb7945c4725dbf65f2025-01-10T13:18:03ZengMDPI AGMathematics2227-73902024-12-011314310.3390/math13010043Optimal Control Strategies for Dengue and Malaria Co-Infection Disease ModelMuhammad Imran0Brett Allen McKinney1Azhar Iqbal Kashif Butt2Pasquale Palumbo3Saira Batool4Hassan Aftab5Tandy School of Computer Science, The University of Tulsa, 800 South Tucker Drive, Tulsa, OK 74104, USATandy School of Computer Science, The University of Tulsa, 800 South Tucker Drive, Tulsa, OK 74104, USADepartment of Mathematics and Statistics, College of Science, King Faisal University, Al-Ahsa 31982, Saudi ArabiaDepartment of Biotechnologies and Biosciences, University of Milano-Bicocca Piazza, della Scienza 2, 20126 Milan, ItalyTandy School of Computer Science, The University of Tulsa, 800 South Tucker Drive, Tulsa, OK 74104, USADepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, PakistanDengue and malaria fever infections are mosquito-borne diseases that pose significant threats to human health. There is an urgent need for effective strategies to prevent, control, and raise awareness about the public health risks of dengue and malaria. In this manuscript, we analyze a mathematical model that addresses the dynamics of dengue–malaria co-infection and propose optimal control strategies across four different scenarios to limit the spread of the disease. The results indicate that non-pharmaceutical interventions are the most effective and feasible standalone strategy, yielding significant reductions in disease transmission. Additionally, vector population control through spraying is identified as the second most significant method, with a proportional decrease in disease prevalence corresponding to the reduction in the mosquito population. While pharmaceutical treatments alone do not fully eradicate the disease, they do contribute to its containment. Notably, the combination of vector control and non-pharmaceutical strategies proved to be the most effective approach, ensuring rapid disease eradication. These findings emphasize the importance of integrated interventions in managing co-infection dynamics and highlight the vital role of prevention-oriented strategies.https://www.mdpi.com/2227-7390/13/1/43dengue-malariaco-infection modelpharmaceutical and non-pharmaceutical controloptimal control analysis
spellingShingle Muhammad Imran
Brett Allen McKinney
Azhar Iqbal Kashif Butt
Pasquale Palumbo
Saira Batool
Hassan Aftab
Optimal Control Strategies for Dengue and Malaria Co-Infection Disease Model
Mathematics
dengue-malaria
co-infection model
pharmaceutical and non-pharmaceutical control
optimal control analysis
title Optimal Control Strategies for Dengue and Malaria Co-Infection Disease Model
title_full Optimal Control Strategies for Dengue and Malaria Co-Infection Disease Model
title_fullStr Optimal Control Strategies for Dengue and Malaria Co-Infection Disease Model
title_full_unstemmed Optimal Control Strategies for Dengue and Malaria Co-Infection Disease Model
title_short Optimal Control Strategies for Dengue and Malaria Co-Infection Disease Model
title_sort optimal control strategies for dengue and malaria co infection disease model
topic dengue-malaria
co-infection model
pharmaceutical and non-pharmaceutical control
optimal control analysis
url https://www.mdpi.com/2227-7390/13/1/43
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AT brettallenmckinney optimalcontrolstrategiesfordengueandmalariacoinfectiondiseasemodel
AT azhariqbalkashifbutt optimalcontrolstrategiesfordengueandmalariacoinfectiondiseasemodel
AT pasqualepalumbo optimalcontrolstrategiesfordengueandmalariacoinfectiondiseasemodel
AT sairabatool optimalcontrolstrategiesfordengueandmalariacoinfectiondiseasemodel
AT hassanaftab optimalcontrolstrategiesfordengueandmalariacoinfectiondiseasemodel