ArticleJournal of mathematical biology2018
A periodic disease transmission model with asymptomatic carriage and latency periods.
Article in Journal of mathematical biology, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Modelling the Effects of Treatment Failure on the Minor Outbreak Duration for Carrier-Related Infectious Disease.Epidemiologia (Basel, Switzerland) · 2026Article
- A multi-strain model with asymptomatic transmission: Application to COVID-19 in the US.Journal of theoretical biology · 2023Article
- A time-delayed SVEIR model for imperfect vaccine with a generalized nonmonotone incidence and application to measles.Applied mathematical modelling · 2021Article
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Authors and funding
2 authors.
Funding
Abstract
In this paper, the global dynamics of a periodic disease transmission model with two delays in incubation and asymptomatic carriage periods is investigated. We first derive the model system with a general nonlinear incidence rate function by stage-structure. Then, we identify the basic reproduction ratio [Formula: see text] for the model and present numerical algorithm to calculate it. We obtain the global attractivity of the disease-free state when [Formula: see text] and discuss the disease persistence when [Formula: see text]. We also explore the coexistence of endemic state in the nonautonomous system and prove the uniqueness with constants coefficients. Numerical simulations are provided to present a case study regarding the meningococcal meningitis disease transmission and discuss the influence of carriers on [Formula: see text].
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