ArticleJournal of mathematical biology2019
Optimal control of vaccination in a vector-borne reaction-diffusion model applied to Zika virus.
Article in Journal of mathematical biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers, 1 of them a synthesis that pooled it.
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Who cites it
16 citing papers in PubMed, 1 synthesis or guideline pooled it, 63 citations in OpenAlex.
- Spatial connectivity in mosquito-borne disease models: a systematic review of methods and assumptions.Journal of the Royal Society, Interface · 2021Pooled it
- Exploring Zika's dynamics: A scoping review journey from epidemic to equations through mathematical modelling.Infectious Disease Modelling · 2025Review
- Computing optimal drug dosing regarding efficacy and safety: the enhanced OptiDose method in NONMEM.Journal of pharmacokinetics and pharmacodynamics · 2024Article
- Vaccination for communicable endemic diseases: optimal allocation of initial and booster vaccine doses.Journal of mathematical biology · 2024Article
- Qualitative analysis and chaotic behavior of respiratory syncytial virus infection in human with fractional operator.Scientific reports · 2024Article
- The effect of governance structures on optimal control of two-patch epidemic models.Journal of mathematical biology · 2023Article
- Reframing Optimal Control Problems for Infectious Disease Management in Low-Income Countries.Bulletin of mathematical biology · 2023Article
- Propagation thresholds in a diffusive epidemic model with latency and vaccination.Zeitschrift fuer angewandte mathematik und physik · 2023Article
- Sequential allocation of vaccine to control an infectious disease.Mathematical biosciences · 2022Article
- Set-Valued Control to COVID-19 Spread with Treatment and Limitation of Vaccination Resources.Iranian journal of science and technology. Transaction A, Science · 2022Article
- Optimal control for colistin dosage selection.Journal of pharmacokinetics and pharmacodynamics · 2021Article
- Optimal allocation of limited vaccine to minimize the effective reproduction number.Mathematical biosciences · 2021Article
- Optimal allocation of limited vaccine to control an infectious disease: Simple analytical conditions.Mathematical biosciences · 2021Article
- Article
- Forecasting the Effects of the New SARS-CoV-2 Variant in Europe.TheScientificWorldJournal · 2021Article
- Applying optimal control theory to a spatial simulation model of sudden oak death: ongoing surveillance protects tanoak while conserving biodiversity.Journal of the Royal Society, Interface · 2020Article
Corrections and comments
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Authors and funding
3 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Zika virus has acquired worldwide concern after a recent outbreak in Latin America that started in Brazil, with associated neurological conditions such as microcephaly in newborns from infected mothers. The virus is transmitted mainly by Aedes aegypti mosquitoes, but direct (sexual) transmission has been documented. We formulate a reaction diffusion model that considers spatial movement of humans and vectors, with local contact transmission of Zika virus. Vaccination is introduced as a control variable, giving immunity to susceptible humans, in order to characterize an optimal vaccination strategy that minimizes the costs associated with infections and vaccines. The optimal control characterization is obtained in terms of state and adjoint equations. Parameter estimation and numerical simulations are carried out using data for the initial 2015 Zika outbreak in the state of Rio Grande do Norte in Brazil. Several scenarios are considered and analyzed in terms of number of new infections and costs, showing that the optimal control application is successful, significantly reducing these quantities.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.