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

Author:

Imran Muhammad1ORCID,McKinney Brett Allen1ORCID,Butt Azhar Iqbal Kashif2ORCID,Palumbo Pasquale3ORCID,Batool Saira1,Aftab Hassan4

Affiliation:

1. Tandy School of Computer Science, The University of Tulsa, 800 South Tucker Drive, Tulsa, OK 74104, USA

2. Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Ahsa 31982, Saudi Arabia

3. Department of Biotechnologies and Biosciences, University of Milano-Bicocca Piazza, della Scienza 2, 20126 Milan, Italy

4. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan

Abstract

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.

Publisher

MDPI AG

Reference30 articles.

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2. World Health Organisation (2023, March 09). Malaria. Available online: https://www.who.int/news-room/fact-sheets/detail/malaria.

3. On the co-infection of dengue fever and Zika virus;Bonyah;Optim. Control Appl. Methods,2019

4. (2021, September 20). CDC Report, Available online: https://www.cdc.gov/dengue/signs-symptoms/?CDC_AAref_Val=https://www.cdc.gov/dengue/symptoms/index.html.

5. Threshold dynamics and regional optimal control of a malaria model with spatial heterogeneity and ivermectin therapy;Wang;Appl. Math. Model.,2024

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