ArticleBulletin of mathematical biology2008
On the delayed Ross-Macdonald model for malaria transmission.
Article in Bulletin of mathematical biology, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 31 papers.
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Who cites it
31 citing papers in PubMed, 175 citations in OpenAlex.
- Effect of host movement on the prevalence of vector-borne diseases.Journal of mathematical biology · 2025Article
- An eco-epidemiological model for malaria withModeling earth systems and environment · 2025Article
- A hybrid Lagrangian-Eulerian model for vector-borne diseases.Journal of mathematical biology · 2024Article
- Studying of COVID-19 fractional model: Stability analysis.Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters · 2023Article
- Global Stability of a Time-delayed Malaria Model with Standard Incidence Rate.Acta mathematicae applicatae Sinica (English series) · 2023Article
- Fractional-order delayed Ross-Macdonald model for malaria transmission.Nonlinear dynamics · 2022Article
- Numerical treatment on the new fractional-order SIDARTHE COVID-19 pandemic differential model via neural networks.European physical journal plus · 2022Article
- IdentifyingeLife · 2021Article
- Quantifying the risk of vector-borne disease transmission attributable to genetically modified vectors.Royal Society open science · 2021Article
- Towards a Semi-Automatic Early Warning System for Vector-Borne Diseases.International journal of environmental research and public health · 2021Article
- Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic.Chaos, solitons, and fractals · 2020Article
- Mathematical Analysis of the Ross-Macdonald Model with Quarantine.Bulletin of mathematical biology · 2020Article
- An almost periodic Ross-Macdonald model with structured vector population in a patchy environment.Journal of mathematical biology · 2020Article
- A periodic disease transmission model with asymptomatic carriage and latency periods.Journal of mathematical biology · 2018Article
- Medical and entomological malarial interventions, a comparison and synergy of two control measures using a Ross/Macdonald model variant and openmalaria simulation.Mathematical biosciences · 2018Article
- Global properties of vector-host disease models with time delays.Journal of mathematical biology · 2017Article
- On avian influenza epidemic models with time delay.Theory in biosciences = Theorie in den Biowissenschaften · 2015Article
- Computational model of a vector-mediated epidemic.American journal of physics · 2015Article
- A PERIODIC ROSS-MACDONALD MODEL IN A PATCHY ENVIRONMENT.Discrete and continuous dynamical systems. Series B · 2014Article
- Optimal seasonal timing of oral azithromycin for malaria.The American journal of tropical medicine and hygiene · 2014Article
Corrections and comments
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Authors and funding
3 authors at 2 institutions in 2 countries.
Funding
Abstract
The feedback dynamics from mosquito to human and back to mosquito involve considerable time delays due to the incubation periods of the parasites. In this paper, taking explicit account of the incubation periods of parasites within the human and the mosquito, we first propose a delayed Ross-Macdonald model. Then we calculate the basic reproduction number R0 and carry out some sensitivity analysis of R0 on the incubation periods, that is, to study the effect of time delays on the basic reproduction number. It is shown that the basic reproduction number is a decreasing function of both time delays. Thus, prolonging the incubation periods in either humans or mosquitos (via medicine or control measures) could reduce the prevalence of infection.
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