ArticleMathematical biosciences2013
A model for the emergence of drug resistance in the presence of asymptomatic infections.
Article in Mathematical biosciences, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 24 papers.
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Who cites it
24 citing papers in PubMed.
- The theory of epidemics with altruism.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Epidemic spread with asymptomatic infectious period in contact adaptive networks.Scientific reports · 2026Article
- Advancing Mathematical Epidemiology and Chemical Reaction Network Theory via Synergies Between Them.Entropy (Basel, Switzerland) · 2024Article
- A multi-strain model with asymptomatic transmission: Application to COVID-19 in the US.Journal of theoretical biology · 2023Article
- Prescriptive Analytics-Based SIRM Model for Predicting Covid-19 Outbreak.Global journal of flexible systems management · 2023Article
- The Transmission Dynamics of a Compartmental Epidemic Model for COVID-19 with the Asymptomatic Population via Closed-Form Solutions.Vaccines · 2022Article
- Lessons from SARS-CoV-2 in India: A data-driven framework for pandemic resilience.Science advances · 2022Article
- Lack of practical identifiability may hamper reliable predictions in COVID-19 epidemic models.Science advances · 2022Article
- On the Transmission Dynamics of SARS-CoV-2 in a Temperate Climate.International journal of environmental research and public health · 2021Article
- Universal features of epidemic models under social distancing guidelines.Annual reviews in control · 2021Article
- Modelling SARS-CoV-2 unreported cases in Italy: Analysis of serological survey and vaccination scenarios.Infectious Disease Modelling · 2021Article
- Superinfection and the evolution of an initial asymptomatic stage.Royal Society open science · 2021Article
- Universal Epidemic Curve for COVID-19 and Its Usage for Forecasting.Transactions of the Indian National Academy of Engineering : an international journal of engineering and technology · 2021Article
- Modeling and forecasting the early evolution of the Covid-19 pandemic in Brazil.Scientific reports · 2020Article
- Dynamics in a simple evolutionary-epidemiological model for the evolution of an initial asymptomatic infection stage.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- Modelling a pandemic with asymptomatic patients, impact of lockdown and herd immunity, with applications to SARS-CoV-2.Annual reviews in control · 2020Review
- Estimating the herd immunity threshold by accounting for the hidden asymptomatics using a COVID-19 specific model.PloS one · 2020Article
- An optimal predictive control strategy for COVID-19 (SARS-CoV-2) social distancing policies in Brazil.Annual reviews in control · 2020Article
- Modelling the COVID-19 Pandemic: Asymptomatic Patients, Lockdown and Herd Immunity.IFAC-PapersOnLine · 2020Article
- Implications of asymptomatic carriers for infectious disease transmission and control.Royal Society open science · 2018Article
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Authors and funding
2 authors.
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Abstract
An analysis of a mathematical model, which describes the dynamics of an aerially transmitted disease, and the effects of the emergence of drug resistance after the introduction of treatment as an intervention strategy is presented. Under explicit consideration of asymptomatic and symptomatic infective individuals for the basic model without intervention the analysis shows that the dynamics of the epidemic is determined by a basic reproduction number R0. A disease-free and an endemic equilibrium exist and are locally asymptotically stable when R0<1 and R0>1 respectively. When treatment is included the system has a basic reproduction number, which is the largest of the two reproduction numbers that characterise the drug-sensitive (R1) or resistant (R2) strains of the infectious agent. The system has a disease-free equilibrium, which is stable when both R1 and R2 are less than unity. Two endemic equilibria also exist and are associated with treatment and the development of drug resistance. An endemic equilibrium where only the drug-resistant strain persists exists and is stable when R2>1 and R1<R2. A second endemic equilibrium exists when R1>1 and R1>R2 and both drug-sensitive and drug-resistant strains are present. The analysis of the system provides insights about the conditions under which the infection will persist and whether sensitive and resistant strains will coexist or not.
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