ArticlePloS one2020
The local stability of a modified multi-strain SIR model for emerging viral strains.
Article in PloS one, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 34 papers.
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Who cites it
34 citing papers in PubMed.
- Modeling two-strain competition with reinfection: Mathematical analyses and epidemiological implications.Infectious Disease Modelling · 2026Article
- Analysis of tomato bacterial wilt transmission dynamics with behavioral responses: A mathematical and optimal control approach.Parasite epidemiology and control · 2026Article
- The interplay of influenza and COVID-19 in Germany, January 2020 - December 2022: a study of competitive disease dynamics with quarantine measures and partial cross-immunity.BMC public health · 2025Article
- Sic Transit Gloria Mundi: A Mathematical Theory of Popularity Waves Based on a SIIRR Model of Epidemic Spread.Entropy (Basel, Switzerland) · 2025Article
- Enhancing epidemic forecasting with a physics-informed spatial identity neural network.PloS one · 2025Article
- Emergence to dominance: Estimating time to dominance of SARS-CoV-2 variants using nonlinear statistical models.PloS one · 2025Article
- Article
- Epidemiology: Gray immunity model gives qualitatively different predictions.Journal of biosciences · 2024Article
- Vaccine breakthrough and rebound infections modeling: Analysis for the United States and the ten U.S. HHS regions.Infectious Disease Modelling · 2023Article
- Inference on a Multi-Patch Epidemic Model with Partial Mobility, Residency, and Demography: Case of the 2020 COVID-19 Outbreak in Hermosillo, Mexico.Entropy (Basel, Switzerland) · 2023Article
- A real-world data validation of the value of early-stage SIR modelling to public health.Scientific reports · 2023Article
- A multi-strain model with asymptomatic transmission: Application to COVID-19 in the US.Journal of theoretical biology · 2023Article
- The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19.Journal of mathematical biology · 2023Article
- Effect of Transmission and Vaccination on Time to Dominance of Emerging Viral Strains: A Simulation-Based Study.Microorganisms · 2023Article
- Global dynamics of two-strain epidemic model with single-strain vaccination in complex networks.Nonlinear analysis. Real world applications · 2023Article
- Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-2.Mathematics and computers in simulation · 2023Article
- Exploring a COVID-19 Endemic Scenario: High-Resolution Agent-Based Modeling of Multiple Variants.Advanced theory and simulations · 2023Article
- Efficient social distancing during the COVID-19 pandemic: Integrating economic and public health considerations.European journal of operational research · 2023Article
- Agent-Based Simulation for Infectious Disease Modelling over a Period of Multiple Days, with Application to an Airport Scenario.International journal of environmental research and public health · 2022Article
- Brazil's COVID-19 Epicenter in Manaus: How Much of the Population Has Already Been Exposed and Are Vulnerable to SARS-CoV-2?Journal of racial and ethnic health disparities · 2022Article
Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We study a novel multi-strain SIR epidemic model with selective immunity by vaccination. A newer strain is made to emerge in the population when a preexisting strain has reached equilbrium. We assume that this newer strain does not exhibit cross-immunity with the original strain, hence those who are vaccinated and recovered from the original strain become susceptible to the newer strain. Recent events involving the COVID-19 virus shows that it is possible for a viral strain to emerge from a population at a time when the influenza virus, a well-known virus with a vaccine readily available, is active in a population. We solved for four different equilibrium points and investigated the conditions for existence and local stability. The reproduction number was also determined for the epidemiological model and found to be consistent with the local stability condition for the disease-free equilibrium.
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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.