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Related papers: An age-distributed immuno-epidemiological model wi…

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We present a series of SIR-network models, extended with a game-theoretic treatment of imitation dynamics which result from regular population mobility across residential and work areas and the ensuing interactions. Each considered…

Populations and Evolution · Quantitative Biology 2019-11-14 Sheryl L. Chang , Mahendra Piraveenan , Mikhail Prokopenko

Incorporating dynamic contact networks and delayed awareness into a contagion model with memory, we study the spreading patterns of infectious diseases in connected populations. It is found that the spread of an infectious disease is not…

Physics and Society · Physics 2015-05-20 Li-Xin Zhong , Tian Qiu , Fei Ren , Ping-Ping Li , Bi-Hui Chen

A compartment epidemic model for infectious disease spreading is investigated, where movement of individuals is governed by spatial diffusion. The model includes infection age of the infected individuals and assumes a logistic growth of the…

Analysis of PDEs · Mathematics 2023-06-28 Christoph Walker

This work describes a simple agent model for the spread of an epidemic outburst, with special emphasis on mobility and geographical considerations, which we characterize via statistical mechanics and numerical simulations. As the mobility…

Statistical Mechanics · Physics 2021-09-30 Óscar Toledano , Begoña Mula , Silvia N. Santalla , Javier Rodríguez-Laguna , Óscar Gálvez

We investigate stochastic extinction in an epidemic model and the impact of random vaccinations in large populations formulated in terms of an optimal escape path. We find that different random vaccination strategies can have widely…

Biological Physics · Physics 2007-11-12 Alexandra S. Landsman , Ira B. Schwartz

When an infectious disease propagates throughout society, the incidence function may rise at first due to an increase in pathogenicity and then decrease due to inhibitory effects until it reaches saturation. Effective vaccination and…

Dynamical Systems · Mathematics 2023-07-11 Sushil Pathak , G. Shirisha , K. Venkata Ratnam

In this research, we develop a framework to analyze the interaction between the economy and the Covid-19 pandemic using an extension of SIR epidemic model. At the outset, we assume there are two health related investments including general…

Optimization and Control · Mathematics 2022-02-14 Zachariah Sinkala , Vajira Manathunga , Bichaka Fayissa

In this work we study the stability properties of the equilibrium points of deterministic epidemic models with nonconstant population size. Models with nonconstant population have been studied in the past only in particular cases, two of…

Optimization and Control · Mathematics 2022-02-25 Florin Avram , Rim Adenane , Lasko Basnarkov , Gianluca Bianchin , Dan Goreac , Andrei Halanay

Understanding the interplay between human behavioral phenomena and infectious disease dynamics has been one of the central challenges of mathematical epidemiology. However, socio-cognitive processes critical for the initiation of desired…

Physics and Society · Physics 2024-01-01 Qingchu Wu , Tarik Hadzibeganovic , Xiao-Pu Han

We consider a vaccination game that results with the introduction of premature and possibly scarce vaccines introduced in a desperate bid to combat the otherwise ravaging deadly pandemic. The response of unsure agents amid many…

Dynamical Systems · Mathematics 2021-09-14 Vartika Singh , Khushboo Agarwal , Shubham , Veeraruna Kavitha

RNA-based vaccination has been broadly applied in the COVID pandemic. A characteristic of the immunization was fast waning immunity. However, the time scale of this process varied considerable for virus subtypes and among individuals.…

Populations and Evolution · Quantitative Biology 2025-11-10 Juan Magalang , Tyll Krueger , Joerg Galle

This is an epidemiological SIRV model based study that is designed to analyze the impact of vaccination in containing infection spread, in a 4-tiered population compartment comprised of susceptible, infected, recovered and vaccinated…

Populations and Evolution · Quantitative Biology 2018-11-14 Ewa Grela , Michael Stich , Amit K Chattopadhyay

We consider the problem of controlling the propagation of an epidemic outbreak in an arbitrary contact network by distributing vaccination resources throughout the network. We analyze a networked version of the…

Social and Information Networks · Computer Science 2013-03-19 Victor M. Preciado , Michael Zargham , Chinwendu Enyioha , Ali Jadbabaie , George Pappas

Incorporating decision-making dynamics during an outbreak poses a challenge for epidemiology, faced by several modeling approaches siloed by different disciplines. We propose an epi-economic model where high-frequency choices of individuals…

Physics and Society · Physics 2025-01-31 Lorenzo Amir Nemati Fard , Alberto Bisin , Michele Starnini , Michele Tizzoni

Despite high vaccine coverage, pertussis has re-emerged as a public health concern in many countries. One hypothesis posed for re-emergence is the waning of immunity. In some disease systems, the process of waning immunity can be…

Populations and Evolution · Quantitative Biology 2017-08-10 Tiffany Leung , Barry D Hughes , Federico Frascoli , Patricia T Campbell , James M McCaw

A pandemic poses particular challenges to decision-making because of the need to continuously adapt decisions to rapidly changing evidence and available data. For example, which countermeasures are appropriate at a particular stage of the…

Vaccination policies play a central role in public health interventions and models are often used to assess the effectiveness of these policies. Many vaccines are leaky, in which case the observed vaccine effectiveness depends on the force…

Populations and Evolution · Quantitative Biology 2025-04-21 Gray Manicom , Emily Harvey , Joshua Looker , David Wu , Oliver Maclaren , Dion O' Neale

The contact structure of the population shapes the progression of epidemics. Nonetheless, the joint evolution of individual behavioral adaptations and disease dynamics on networks remains poorly understood. We use a…

Physics and Society · Physics 2025-08-27 Baltazar Espinoza , Jimmy Calvo-Monge , Fabio Sanchez , Simon A. Levin , Madhav Marathe

This paper presents a vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population amounts as a refrain for…

Dynamical Systems · Mathematics 2011-03-28 M. De la Sen , A. Ibeas , S. Alonso-Quesada

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…

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