ArticleApplied mathematical modelling2021
Malaria and COVID-19 co-dynamics: A mathematical model and optimal control.
Article in Applied mathematical modelling, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 32 papers, 1 of them a synthesis that pooled it.
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Who cites it
32 citing papers in PubMed, 1 synthesis or guideline pooled it.
- Mathematical models for dengue fever epidemiology: A 10-year systematic review.Physics of life reviews · 2022Pooled it
- Survey on mathematical modeling of infectious disease dynamics: insights and applications.BMC infectious diseases · 2026Review
- Optimal control and cost-effectiveness analysis of PfSPZ vaccination and indoor residual spraying in malaria transmission: a case study in Keerom.Frontiers in public health · 2026Article
- Article
- A fractional-order mathematical model for malaria and COVID-19 co-infection dynamics.Healthcare analytics (New York, N.Y.) · 2023Article
- The stability analysis of a co-circulation model for COVID-19, dengue, and zika with nonlinear incidence rates and vaccination strategies.Healthcare analytics (New York, N.Y.) · 2023Article
- Co-infection dynamics of COVID-19 and HIV/AIDS.Scientific reports · 2023Article
- Modeling the competitive transmission of the Omicron strain and Delta strain of COVID-19.Journal of mathematical analysis and applications · 2023Article
- Article
- Co-dynamics of COVID-19 and TB with COVID-19 vaccination and exogenous reinfection for TB: An optimal control application.Infectious Disease Modelling · 2023Article
- A mathematical model for the co-dynamics of COVID-19 and tuberculosis.Mathematics and computers in simulation · 2023Article
- Modeling SARS-CoV-2 and HBV co-dynamics with optimal control.Physica A · 2023Article
- Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive.Mathematics and computers in simulation · 2023Article
- Investigating the Effects of Intervention Strategies on Pneumonia and HIV/AIDS Coinfection Model.BioMed research international · 2023Article
- Bifurcation and optimal control analysis of HIV/AIDS and COVID-19 co-infection model with numerical simulation.PloS one · 2023Article
- Analysis of HBV and COVID-19 Coinfection Model with Intervention Strategies.Computational and mathematical methods in medicine · 2023Article
- Application of a time-delay SIR model with vaccination in COVID-19 prediction and its optimal control strategy.Nonlinear dynamics · 2023Article
- Nonlinear optimal control strategies for a mathematical model of COVID-19 and influenza co-infection.Physica A · 2022Article
- Dynamic stability and optimal control of SISChaos, solitons, and fractals · 2022Article
- Dynamic of a two-strain COVID-19 model with vaccination.Results in physics · 2022Article
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4 authors.
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No grant is acknowledged in the PubMed record.
Abstract
Malaria, one of the longest-known vector-borne diseases, poses a major health problem in tropical and subtropical regions of the world. Its complexity is currently being exacerbated by the emerging COVID-19 pandemic and the threats of its second wave and looming third wave. We formulate and analyze a mathematical model incorporating some epidemiological features of the co-dynamics of both malaria and COVID-19. Sufficient conditions for the stability of the malaria only and COVID-19 only sub-models' equilibria are derived. The COVID-19 only sub-model has globally asymptotically stable equilibria while under certain condition, the malaria-only could undergo the phenomenon of backward bifurcation whenever the sub-model reproduction number is less than unity. The equilibria of the dual malaria-COVID19 model are locally asymptotically stable as global stability is precluded owing to the possible occurrence of backward bifurcation. Optimal control of the full model to mitigate the spread of both diseases and their co-infection are derived. Pontryagin's Maximum Principle is applied to establish the existence of the optimal control problem and to derive the necessary conditions for optimal control of the diseases. Though this is not a case study, simulation results to support theoretical analysis of the optimal control suggests that concurrently applying malaria and COVID-19 protective measures could help mitigate their spread compared to applying each preventive control measure singly as the world continues to deal with this unprecedented and unparalleled COVID-19 pandemic.
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