ArticleBulletin of mathematical biology2021
Threshold Dynamics in a Model for Zika Virus Disease with Seasonality.
Article in Bulletin of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed, 17 citations in OpenAlex.
- A novel mathematical model of seasonality in Oropouche virus transmission in Amazonas, Brazil.Journal of mathematical biology · 2026Article
- Exploring Zika's dynamics: A scoping review journey from epidemic to equations through mathematical modelling.Infectious Disease Modelling · 2025Review
- Transmission dynamics of Zika virus with multiple infection routes and a case study in Brazil.Scientific reports · 2024Article
- Arbovirus surveillance in febrile patients attending selected health facilities in Rwanda.Infection ecology & epidemiology · 2024Article
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Authors and funding
2 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We present a compartmental population model for the spread of Zika virus disease including sexual and vectorial transmission as well as asymptomatic carriers. We apply a non-autonomous model with time-dependent mosquito birth, death and biting rates to integrate the impact of the periodicity of weather on the spread of Zika. We define the basic reproduction number [Formula: see text] as the spectral radius of a linear integral operator and show that the global dynamics is determined by this threshold parameter: If [Formula: see text] then the disease-free periodic solution is globally asymptotically stable, while if [Formula: see text] then the disease persists. We show numerical examples to study what kind of parameter changes might lead to a periodic recurrence of Zika.
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