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In the recent COVID-19 pandemic we assisted at a sequence of epidemic waves intertwined by anomalous fade-outs with periods of low but persistent epidemic prevalence. These long-living epidemic states complicate epidemic control and…

物理与社会 · 物理学 2025-08-27 Javier Aguilar , Beatriz Arregui García , Raúl Toral , Sandro Meloni , Jose J. Ramasco

We define and analyze an inductive reasoning game of voluntary yearly vaccination in order to establish whether or not a population of individuals acting in their own self-interest would be able to prevent influenza epidemics. We find that…

种群与进化 · 定量生物学 2013-05-29 Romulus Breban , Raffaele Vardavas , Sally Blower

In contrast to the common assumption in epidemic models that the rate of infection between individuals is constant, in reality, an individual's viral load determines their infectiousness. We compare the average and individual reproductive…

种群与进化 · 定量生物学 2021-12-07 Nicholas Landry

Epidemics have shaped human history, often with devastating consequences, motivating the development of mathematical models to understand and control their dynamics. Among the many aspects of epidemic behavior, the conditions that lead to…

种群与进化 · 定量生物学 2026-05-01 Germano Hartmann Brill , Pablo Enrique Jurado Silvestrin , Sebastian Gonçalves

Current modeling of infectious diseases allows for the study of complex and realistic scenarios that go from the population to the individual level of description. However, most epidemic models assume that the spreading process takes place…

物理与社会 · 物理学 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno

Viral infections trigger complex immune responses with heterogeneous outcomes shaped by nonlinear feedbacks. An ordinary differential equation model is developed to investigate immune response dynamics during viral infection, incorporating…

定量方法 · 定量生物学 2025-10-08 Xiaoxin Wang , Kai Kang , Leyi Zhang , Changjing Zhuge

We analyze an optimal control version of a simple SIRS epidemiology model. The policy maker can adopt policies to diminish the contact rate between infected and susceptible individuals, at a specific economic cost. The arrival of a vaccine…

种群与进化 · 定量生物学 2020-06-09 Evangelos Magirou

Models for resident infectious diseases, like the SIRS model, may settle into an endemic state with constant numbers of susceptible ($S$), infected ($I$) and recovered ($R$) individuals, where recovered individuals attain a temporary…

种群与进化 · 定量生物学 2024-11-05 Daniel Henrik Nevermann , Claudius Gros

Motile organisms can form stable agglomerates such as cities or colonies. In the outbreak of a highly contagious disease, the control of large-scale epidemic spread depends on factors like the number and size of agglomerates, travel rate…

种群与进化 · 定量生物学 2023-04-03 Pablo de Castro , Felipe Urbina , Ariel Norambuena , Francisca Guzmán-Lastra

We consider a stochastic Susceptible-Exposed-Infected-Recovered (SEIR) epidemiological model with a contact rate that fluctuates seasonally. Through the use of a nonlinear, stochastic projection, we are able to analytically determine the…

种群与进化 · 定量生物学 2013-09-11 Eric Forgoston , Ira B. Schwartz

Background: Influenza A/H3N2 has been circulating in humans since 1968, causing considerable morbidity and mortality. Although H3N2 incidence is highly seasonal, how such seasonality contributes to global phylogeographic migration dynamics…

种群与进化 · 定量生物学 2015-02-06 Daniel Zinder , Trevor Bedford , Edward B. Baskerville , Robert J. Woods , Manojit Roy , Mercedes Pascual

Epidemiological forecasting from surveillance data is a hard problem and hybridizing mechanistic compartmental models with neural models is a natural direction. The mechanistic structure helps keep trajectories epidemiologically plausible,…

机器学习 · 计算机科学 2026-02-09 Yiqi Su , Ray Lee , Jiaming Cui , Naren Ramakrishnan

Confirmed cases during the early stage of the 2009 H1N1 pdm in various countries showed an age shift between importations and local transmission cases, with adults mainly responsible for seeding unaffected regions and children most…

物理与社会 · 物理学 2013-04-18 Andrea Apolloni , Chiara Poletto , Vittoria Colizza

Motivated by the increasing number of COVID-19 cases that have been observed in many countries after the vaccination and relaxation of non-pharmaceutical interventions, we propose a mathematical model on time-varying networks for the spread…

动力系统 · 数学 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

The complex interplay between population movements in space and non-homogeneous mixing patterns have so far hindered the fundamental understanding of the conditions for spatial invasion through a general theoretical framework. To address…

物理与社会 · 物理学 2014-01-21 Andrea Apolloni , Chiara Poletto , Jose' J. Ramasco , Pablo Jensen , Vittoria Colizza

Epidemiological data on seasonal influenza show that the growth rate of the number of infected individuals can increase passing from one exponential growth rate to another one with a larger exponent. Such behavior is not described by…

种群与进化 · 定量生物学 2020-04-01 Malay Banerjee , Alexey Tokarev , Vitaly Volpert

When a new infectious disease (or a new strain of an existing one) emerges, as in the recent COVID-19 pandemic, different types of mobility restrictions are considered to slow down or mitigate the spread of the disease. The measures to be…

物理与社会 · 物理学 2026-04-21 Jõao Gabriel Simões Delboni , Gabriel Fabricius

Infectious diseases outbreaks are often characterized by a spatial component induced by hosts' distribution, mobility, and interactions. Spatial models that incorporate hosts' movements are being used to describe these processes, to…

物理与社会 · 物理学 2012-07-20 Chiara Poletto , Michele Tizzoni , Vittoria Colizza

A significant proportion of the infections driving the current {SARS-CoV-2} pandemic are transmitted asymptomatically. Here we introduce and study a simple epidemic model with separate compartments comprising asymptomatic and symptomatic…

种群与进化 · 定量生物学 2022-10-12 Maurice Görtz , Joachim Krug

Viruses evolve in the background of host immune systems that exert selective pressure and drive viral evolutionary trajectories. This interaction leads to different evolutionary patterns in antigenic space. Examples observed in nature…

种群与进化 · 定量生物学 2020-11-20 Jacopo Marchi , Michael Lässig , Thierry Mora , Aleksandra M. Walczak