ArticleTheory in biosciences = Theorie in den Biowissenschaften2019
Mathematical modeling of dengue epidemic: control methods and vaccination strategies.
Article in Theory in biosciences = Theorie in den Biowissenschaften, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers, 1 of them a synthesis that pooled it.
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Who cites it
18 citing papers in PubMed, 1 synthesis or guideline pooled it, 97 citations in OpenAlex.
- A Systematic Review of Mathematical Models of Dengue Transmission and Vector Control: 2010-2020.Viruses · 2023Pooled it
- Incorporating vertical transmission into mechanistic modeling of West Nile virus for optimized control in Germany.Scientific reports · 2026Article
- ExploitingPathogens (Basel, Switzerland) · 2025Review
- Fine-scale monitoring of insecticide resistance in Aedes aegypti (Diptera: Culicidae) from Sri Lanka and modeling the phenotypic resistance using rational approximation.Parasites & vectors · 2024Article
- Article
- Effects of Community Connectivity on the Spreading Process of Epidemics.Entropy (Basel, Switzerland) · 2023Article
- The Influence of Anthropogenic and Environmental Disturbances on Parameter Estimation of a Dengue Transmission Model.Tropical medicine and infectious disease · 2022Article
- Global research activity on mathematical modeling of transmission and control of 23 selected infectious disease outbreak.Globalization and health · 2022Article
- Analysis of deterministic models for dengue disease transmission dynamics with vaccination perspective in Johor, Malaysia.International journal of applied and computational mathematics · 2022Article
- Effect of an antiviral drug control and its variable order fractional network in host COVID-19 kinetics.The European physical journal. Special topics · 2022Article
- A multicompartment mathematical model to study the dynamic behaviour of COVID-19 using vaccination as control parameter.Nonlinear dynamics · 2022Article
- Modelling and optimal control for Chikungunya disease.Theory in biosciences = Theorie in den Biowissenschaften · 2021Article
- Global dynamics and control strategies of an epidemic model having logistic growth, non-monotone incidence with the impact of limited hospital beds.Nonlinear dynamics · 2021Article
- Impact of control interventions on COVID-19 population dynamics in Malaysia: a mathematical study.European physical journal plus · 2021Article
- The economic impact and cost-effectiveness of combined vector-control and dengue vaccination strategies in Thailand: results from a dynamic transmission model.PLoS neglected tropical diseases · 2020Article
- Article
- Bifurcation thresholds and optimal control in transmission dynamics of arboviral diseases.Journal of mathematical biology · 2018Article
- DengueME: A Tool for the Modeling and Simulation of Dengue Spatiotemporal Dynamics.International journal of environmental research and public health · 2016Review
Corrections and comments
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Authors and funding
3 authors at 2 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Dengue is, in terms of death and economic cost, one of the most important infectious diseases in the world. So, its mathematical modeling can be a valuable tool to help us to understand the dynamics of the disease and to infer about its spreading by the proposition of control methods. In this paper, control strategies, which aim to eliminate the Aedes aegypti mosquito, as well as proposals for the vaccination campaign are evaluated. In our mathematical model, the mechanical control is accomplished through the environmental support capacity affected by a discrete function that represents the removal of breedings. Chemical control is carried out using insecticide and larvicide. The efficiency of vaccination is studied through the transfer of a fraction of individuals, proportional to the vaccination rate, from the susceptible to the recovered compartments. Our major find is that the dengue fever epidemic is only eradicated with the use of an immunizing vaccine because control measures, directed against its vector, are not enough to halt the disease spreading. Even when the infected mosquitoes are eliminated from the system, the susceptible ones are still present, and infected humans cause dengue fever to reappear in the human population.
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