ArticleJournal of mathematical biology2021
A geometric analysis of the SIRS epidemiological model on a homogeneous network.
Article in Journal of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Bounded risk disposition explains Turing patterns and tipping points during spatial contagions.Royal Society open science · 2024Article
- Using data mining techniques deep analysis and theoretical investigation of COVID-19 pandemic.Measurement. Sensors · 2023Article
- From subcritical behavior to a correlation-induced transition in rumor models.Nature communications · 2022Article
- The fluctuation analysis of public opinion energy: Modeling social group opinion base on the event of social networks.Intelligent systems with applications · 2022Article
- Geometric singular perturbation theory analysis of an epidemic model with spontaneous human behavioral change.Journal of mathematical biology · 2021Article
- Discrete epidemic models with two time scales.Advances in difference equations · 2021Article
- A Mathematical and Statistical Estimation of Potential Transmission and Severity of COVID-19: A Combined Study of Romania and Pakistan.BioMed research international · 2020Article
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4 authors.
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Abstract
We study a fast-slow version of an SIRS epidemiological model on homogeneous graphs, obtained through the application of the moment closure method. We use GSPT to study the model, taking into account that the infection period is much shorter than the average duration of immunity. We show that the dynamics occurs through a sequence of fast and slow flows, that can be described through 2-dimensional maps that, under some assumptions, can be approximated as 1-dimensional maps. Using this method, together with numerical bifurcation tools, we show that the model can give rise to periodic solutions, differently from the corresponding model based on homogeneous mixing.
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