Estimates of SARS-CoV-2 infections and population immunity after the COVID-19 pandemic in Austria: Analysis of national wastewater data

U Riedmann, A Chalupka, L Richter, M Sprenger… - medRxiv, 2024 - medrxiv.org
Background: Post-pandemic surveillance data on COVID-19 infections may help inform
future public health policies regarding SARS-CoV-2 testing, vaccinations or other COVID-19 …

Optimal vaccination policy to prevent endemicity: a stochastic model

F Foutel-Rodier, A Charpentier, H Guérin - Journal of Mathematical …, 2025 - Springer
We examine here the effects of recurrent vaccination and waning immunity on the
establishment of an endemic equilibrium in a population. An individual-based model that …

[HTML][HTML] SIRS epidemics with individual heterogeneity of immunity waning

M El Khalifi, T Britton - Journal of Theoretical Biology, 2024 - Elsevier
In the current paper we analyse an extended SIRS epidemic model in which immunity at the
individual level wanes gradually at exponential rate, but where the waning rate may differ …

[HTML][HTML] Assessing the dynamics and impact of COVID-19 vaccination on disease spread: A data-driven approach

F Waseel, G Streftaris, B Rudrusamy… - Infectious Disease …, 2024 - Elsevier
The COVID-19 pandemic has significantly impacted global health, social, and economic
situations since its emergence in December 2019. The primary focus of this study is to …

[HTML][HTML] A mathematical model for distributed waning of vaccine-derived immunity: Characterizing dynamical impact on measles elimination

A Deka, T Mahato, S Bhattacharyya - Franklin Open, 2024 - Elsevier
The worldwide resurgence of measles outbreaks, particularly in western nations, has
become a serious global health concern. Often, it fails to meet the regional measles …

[PDF][PDF] Stochastic epidemic models with varying infectivity and waning immunity

R Forien, G Pang, É Pardoux, AB Zotsa-Ngoufack - Preprint, 2024 - cmor-faculty.rice.edu
We study an individual-based stochastic epidemic model in which infected individuals
become susceptible again, after each infection. In contrast to classical compartment models …

The Rise and Fall of Ideas' Popularity

P Mazzarisi, A Muscillo, C Pacati, P Pin - arXiv preprint arXiv:2411.18541, 2024 - arxiv.org
In the dynamic landscape of contemporary society, the popularity of ideas, opinions, and
interests fluctuates rapidly. Traditional dynamical models in social sciences often fail to …

Infinitesimal Homeostasis in Mass-Action Systems

J Jin, GA Rempala - arXiv preprint arXiv:2407.11248, 2024 - arxiv.org
Homeostasis occurs in a biological system when a chosen output variable remains
approximately constant despite changes in an input variable. In this work we specifically …

Functional central limit theorems for epidemic models with varying infectivity and waning immunity

ABZ Ngoufack - ESAIM: Probability and Statistics, 2025 - esaim-ps.org
We study an individual-based stochastic epidemic model in which infected individuals
gradually become susceptible again following each infection (generalized SIS model). The …

Implementation of the Runge-Kutta Method and SIR Model to Understand Covid-19 Spread in Padang City

MF Gunawan, PH Gunawan - 2024 12th International …, 2024 - ieeexplore.ieee.org
The spread of the COVID-19 pandemic became a global concern after the outbreak was first
reported in Wuhan, China in December 2019. This pandemic had a serious impact on public …