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During an infection, HIV experiences strong selection by immune system T cells. Recent experimental work has shown that MHC escape mutations form an important pathway for HIV to avoid such selection. In this paper, we study a model of MHC…

Probability · Mathematics 2009-09-02 Sivan Leviyang

Although suppressing the spread of a disease is usually achieved by investing in public resources, in the real world only a small percentage of the population have access to government assistance when there is an outbreak, and most must…

Physics and Society · Physics 2018-02-14 Xiaolong Chen , Ruijie Wang , Ming Tang , Shimin Cai , H. Eugene Stanley , Lidia A. Braunstein

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

Consider a uniformly mixing population which grows as a super-critical linear birth and death process. At some time an infectious disease (of SIR or SEIR type) is introduced by one individual being infected from outside. It is shown that…

Probability · Mathematics 2013-09-17 Tom Britton , Pieter Trapman

Two factors that are often ignored but could play a crucial role in the progression of an infectious disease are the distributions of inherent susceptibility ($\sigma_{inh}$) and external infectivity ($\iota_{ext}$), in a given population.…

Populations and Evolution · Quantitative Biology 2021-01-01 Saumyak Mukherjee , Sayantan Mondal , Biman Bagchi

Infectious disease spread is a multi-scale process composed of within-host (biological) and between-host (social) drivers and disentangling them from each other is a central challenge in epidemiology. Here, we introduce VIBES, a multi-scale…

When comparing time-varying treatments in a non-randomised setting, one must often correct for time-dependent confounders that influence treatment choice over time and that are themselves influenced by treatment. We present a new two step…

Methodology · Statistics 2016-10-06 J. M. Gran , R. Hoff , K. Røysland , B. Ledergerber , J. Young , O. O. Aalen

Evaluation of HIV large scale interventions programme is becoming increasingly important, but impact estimates frequently hinge on knowledge of changes in behaviour such as the frequency of condom use (CU) over time, or other self-reported…

Aim of this manuscript is to show a simple method to infer the time-course of new COVID-19 infections (the most important information in order to establish the effect of containment strategies) from available aggregated data, such as number…

Populations and Evolution · Quantitative Biology 2020-04-21 Andrea Pugliese , Sara Sottile

Social contact networks underlying epidemic processes in humans and animals are highly dynamic. The spreading of infections on such temporal networks can differ dramatically from spreading on static networks. We theoretically investigate…

Physics and Society · Physics 2017-09-13 Tomokatsu Onaga , James P. Gleeson , Naoki Masuda

As infectious disease outbreaks emerge, public health agencies often enact vaccination and social distancing measures to slow transmission. Their success depends on not only strategies and resources, but also public adherence. Individual…

Physics and Society · Physics 2018-08-20 José L. Herrera , Lauren Ancel Meyers

We study the effect of external infection sources on phase transitions in epidemic processes. In particular, we consider an epidemic spreading on a network via the SIS/SIR dynamics, which in addition is aided by external agents - sources…

Social and Information Networks · Computer Science 2013-12-05 Siddhartha Banerjee , Avhishek Chatterjee , Sanjay Shakkottai

We consider the spread of a supercritical stochastic SIR (Susceptible, Infectious, Recovered) epidemic on a configuration model random graph. We mainly focus on the final stages of a large outbreak and provide limit results for the duration…

Probability · Mathematics 2020-02-26 Abid Ali Lashari , Ana Serafimović , Pieter Trapman

We derive the master equations for the Susceptible-Infected (SI) model on general hypernetworks with~$N$-body interactions. We solve these equations exactly for infinite~$d$-regular hypernetworks, and obtain an explicit solution for the…

Physics and Society · Physics 2025-04-17 Gadi Fibich , Guy Rothmann

Analytical studies of network epidemiology almost exclusively focus on the extreme situations where the time scales of network dynamics are well separated (longer or shorter) from that of epidemic propagation. In realistic scenarios,…

Physics and Society · Physics 2024-05-16 Chao-Ran Cai , Yuan-Yuan Nie , Petter Holme

HIV pre-exposure Prophylaxis (PrEP) has become essential for global HIV control, but its implementation coincides with rising bacterial STI rates among men who have sex with men (MSM). While risk-compensation behavioral changes like reduced…

We propose and study a new mathematical model of the human immunodeficiency virus (HIV). The main novelty is to consider that the antibody growth depends not only on the virus and on the antibodies concentration but also on the uninfected…

Optimization and Control · Mathematics 2022-01-26 Karam Allali , Sanaa Harroudi , Delfim F. M. Torres

The spread of infectious disease is strongly influenced by social dynamics. In addition to infection risk, individuals vaccination decisions depend on prevailing social behavior: high infection levels and widespread vaccination can increase…

Populations and Evolution · Quantitative Biology 2026-04-17 Xinxuan Wang , Youngmin Park , Bryce Morsky

In the last decades, the interest to understand the connection between brain and body has grown notably. For example, in psychoneuroimmunology many studies associate stress, arising from many different sources and situations, to changes in…

Quantitative Methods · Quantitative Biology 2022-07-27 Maria Elena Gonzalez Herrero , Christian Kuehn

In a metapopulation network, infectious diseases spread widely because of the travel of individuals. In the present study, we consider a modified metapopulation Susceptible-Infected-Removed (SIR) model with a latent period, which we call…

Physics and Society · Physics 2017-08-02 Kazue Kudo , Kanako Mizuno