ArticlePloS one2017
A theoretical model for Zika virus transmission.
Article in PloS one, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed, 90 citations in OpenAlex.
- Exploring Zika's dynamics: A scoping review journey from epidemic to equations through mathematical modelling.Infectious Disease Modelling · 2025Review
- Impact of infectious density-induced additional screening and treatment saturation on COVID-19: Modeling and cost-effective optimal control.Infectious Disease Modelling · 2024Article
- Transmission dynamics of Zika virus with multiple infection routes and a case study in Brazil.Scientific reports · 2024Article
- Effects of human mobility on the spread of Dengue in the region of Caldas, Colombia.PLoS neglected tropical diseases · 2023Article
- Clustering of COVID-19 data for knowledge discovery using c-means and fuzzy c-means.Results in physics · 2021Article
- A stochastic numerical analysis based on hybrid NAR-RBFs networks nonlinear SITR model for novel COVID-19 dynamics.Computer methods and programs in biomedicine · 2021Article
- Complex mathematical SIR model for spreading of COVID-19 virus with Mittag-Leffler kernel.Advances in difference equations · 2021Article
- A new modelling of the COVID 19 pandemic.Chaos, solitons, and fractals · 2020Article
- Transitioning Out of the Coronavirus Lockdown: A Framework for Evaluating Zone-Based Social Distancing.Frontiers in public health · 2020Article
- Modeling Chikungunya control strategies and Mayaro potential outbreak in the city of Rio de Janeiro.PloS one · 2020Article
- Mathematical model of zika virus dynamics with vector control and sensitivity analysis.Infectious Disease Modelling · 2020Article
- Optimal control of vaccination in a vector-borne reaction-diffusion model applied to Zika virus.Journal of mathematical biology · 2019Article
- Optimal control for a fractional tuberculosis infection model including the impact of diabetes and resistant strains.Journal of advanced research · 2019Article
- Mathematics of a model for Zika transmission dynamics.Theory in biosciences = Theorie in den Biowissenschaften · 2018Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
4 authors at 3 institutions in 3 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In this paper, we present and analyze an SEIR Zika epidemic model. Firstly, we investigate the model with constant controls. The steady states of the model is found to be locally and globally asymptotically stable. Thereafter, we incorporate time dependent controls into the model in order to investigate the optimal effects of bednets, treatments of infective and spray of insecticides on the disease spread. Furthermore, we used Pontryagin's Maximum Principle to determine the necessary conditions for effective control of the disease. Also, the numerical results were presented.
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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.