ArticleJournal of mathematical analysis and applications2022
Complex network model for COVID-19: Human behavior, pseudo-periodic solutions and multiple epidemic waves.
Article in Journal of mathematical analysis and applications, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers, 1 of them a synthesis that pooled it.
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Who cites it
15 citing papers in PubMed, 1 synthesis or guideline pooled it.
- A systematic review of spatial epidemiological modeling approaches applied during the COVID-19 pandemic.BMC public health · 2026Pooled it
- A Systematic Review of Spatial Epidemiological Modeling Approaches Applied During the COVID-19 Pandemic.medRxiv : the preprint server for health sciences · 2025Article
- Mathematical models to characterize the early phase of the COVID-19 pandemic in New Mexico, USA.Mathematical biosciences and engineering : MBE · 2025Article
- A data-driven analysis on the mediation effect of compartment models between control measures and COVID-19 epidemics.Heliyon · 2024Article
- Projection of COVID-19 Positive Cases Considering Hybrid Immunity: Case Study in Tokyo.Vaccines · 2023Article
- Race, employment, and the pandemic: An exploration of covariate explanations of COVID-19 case fatality rate variance.PloS one · 2023Article
- Human behavior in the time of COVID-19: Learning from big data.Frontiers in big data · 2023Review
- The importance of investing in data, models, experiments, team science, and public trust to help policymakers prepare for the next pandemic.PLOS global public health · 2023Review
- Evolving mortality and clinical outcomes of hospitalized subjects during successive COVID-19 waves in Catalonia, Spain.Global epidemiology · 2022Article
- Machine learning based regional epidemic transmission risks precaution in digital society.Scientific reports · 2022Article
- Controlling COVID-19 transmission with isolation of influential nodes.Chaos, solitons, and fractals · 2022Article
- Complex behavior of COVID-19's mathematical model.The European physical journal. Special topics · 2022Article
- Heterogeneity matters: Contact structure and individual variation shape epidemic dynamics.PloS one · 2021Article
- A model for the co-evolution of dynamic social networks and infectious disease dynamics.Computational social networks · 2021Article
- A simple mathematical tool to forecast COVID-19 cumulative case numbers.Clinical epidemiology and global healthArticle
Corrections and comments
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Authors and funding
7 authors.
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Abstract
We propose a mathematical model for the transmission dynamics of SARS-CoV-2 in a homogeneously mixing non constant population, and generalize it to a model where the parameters are given by piecewise constant functions. This allows us to model the human behavior and the impact of public health policies on the dynamics of the curve of active infected individuals during a COVID-19 epidemic outbreak. After proving the existence and global asymptotic stability of the disease-free and endemic equilibrium points of the model with constant parameters, we consider a family of Cauchy problems, with piecewise constant parameters, and prove the existence of pseudo-oscillations between a neighborhood of the disease-free equilibrium and a neighborhood of the endemic equilibrium, in a biologically feasible region. In the context of the COVID-19 pandemic, this pseudo-periodic solutions are related to the emergence of epidemic waves. Then, to capture the impact of mobility in the dynamics of COVID-19 epidemics, we propose a complex network with six distinct regions based on COVID-19 real data from Portugal. We perform numerical simulations for the complex network model, where the objective is to determine a topology that minimizes the level of active infected individuals and the existence of topologies that are likely to worsen the level of infection. We claim that this methodology is a tool with enormous potential in the current pandemic context, and can be applied in the management of outbreaks (in regional terms) but also to manage the opening/closing of borders.
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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.