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We propose the following simple stochastic model for phylogenetic trees. New types are born and die according to a birth and death chain. At each birth we associate a fitness to the new type sampled from a fixed distribution. At each death…

概率论 · 数学 2013-06-29 T. M. Liggett , R. B. Schinazi

The emerging threat of a human pandemic caused by the H5N1 avian influenza virus strain magnifies the need for controlling the incidence of H5N1 infection in domestic bird populations. Culling is one of the most widely used control measures…

种群与进化 · 定量生物学 2013-09-03 Hayriye Gulbudak , Maia Martcheva

Much traditional statistical modelling assumes that the outcome variables of interest are independent of each other when conditioned on the explanatory variables. This assumption is strongly violated in the case of infectious diseases,…

种群与进化 · 定量生物学 2019-11-28 Timothy Kinyanjui , Thomas House

In unicellular organisms such as bacteria and in most viruses, mutations mainly occur during reproduction. Thus, genotypes with a high birth rate should have a higher mutation rate. However, standard models of asexual adaptation such as the…

偏微分方程分析 · 数学 2021-11-10 Florian Patout , R Forien , M Alfaro , J Papaïx , L Roques

Single-cell experiments have revealed cell-to-cell variability in generation times and growth rates for genetically identical cells. Theoretical models relating the fluctuating generation times of single cells to the population growth rate…

种群与进化 · 定量生物学 2020-01-15 Jie Lin , Ariel Amir

The immune response to a pathogen has two basic features. The first is the expansion of a few pathogen-specific cells to form a population large enough to control the pathogen. The second is the process of differentiation of cells from an…

种群与进化 · 定量生物学 2014-02-04 Sean P Stromberg , Rustom Antia , Ilya Nemenman

The time-varying reproduction number $R(t)$ measures the number of new infections per infectious individual and is closely correlated with the time series of infection incidence by definition. The timings of actual infections are rarely…

种群与进化 · 定量生物学 2023-07-10 Oliver Eales , Steven Riley

The evolutionary dynamics of human Influenza A virus presents a challenging theoretical problem. An extremely high mutation rate allows the virus to escape, at each epidemic season, the host immune protection elicited by previous…

种群与进化 · 定量生物学 2016-11-30 Lorenzo Taggi , Francesca Colaiori , Vittorio Loreto , Francesca Tria

Seasonal influenza presents an ongoing challenge to public health. The rapid evolution of the flu virus necessitates annual vaccination campaigns, but the decision to get vaccinated or not in a given year is largely voluntary, at least in…

种群与进化 · 定量生物学 2021-01-21 Irena Papst , Kevin P. O'Keeffe , Steven H. Strogatz

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…

动力系统 · 数学 2023-07-11 Sushil Pathak , G. Shirisha , K. Venkata Ratnam

The basic and effective reproduction numbers are widely used metrics for characterizing the dynamics of infectious disease epidemics. However, the interpretation of these numbers is based on the assumption of homogeneous mixing and may not…

种群与进化 · 定量生物学 2026-03-24 Zahra Ghadiri , Jari Saramäki , Takayuki Hiraoka

Background: The pandemic of influenza A (H1N1) is a serious on-going global public crisis. Understanding its spreading dynamics is of fundamental importance for both public health and scientific researches. Recent studies have focused…

物理与社会 · 物理学 2015-03-13 Xiao-Pu Han , Bing-Hong Wang , Chang-Song Zhou , Tao Zhou , Jun-Fang Zhu

The evolutionary dynamics of HIV during the chronic phase of infection is driven by the host immune response and by selective pressures exerted through drug treatment. To understand and model the evolution of HIV quantitatively, the…

种群与进化 · 定量生物学 2012-08-01 Richard A. Neher , Thomas Leitner

H5N1 highly pathogenic avian influenza (HPAI) has been recently circulating in previously unseen patterns. As the underlying causes are uncertain, we need a better understanding of the drivers of virus circulation, as they underpin the…

种群与进化 · 定量生物学 2024-11-18 Anna Gamża , Sam Lycett , Aeron Sanchez , Rowland Kao

Due to its ability to summarise 'real-time' epidemic behaviour, the time-dependent reproduction number, Rt, is a useful metric for tracking pathogen transmission and quantifying the effects of interventions during infectious disease…

种群与进化 · 定量生物学 2026-03-12 Ioana Bouros , Robin Thompson , David Gavaghan , Ben Lambert

We analyze the time-series data for the onset of A(H1N1)v influenza pandemic in India during the period June 1- September 30, 2009. Using a variety of statistical fitting procedures, we obtain a robust estimate of the exponential growth…

种群与进化 · 定量生物学 2010-06-07 T. Jesan , Gautam I. Menon , Sitabhra Sinha

In this article, we focus on the analysis of the potential factors driving the spread of influenza, and possible policies to mitigate the adverse effects of the disease. To be precise, we first invoke discrete Fourier transform (DFT) to…

机器学习 · 计算机科学 2019-12-09 Ziming Liu , Yixuan Wang , Zizhao Han , Dian Wu

We introduce an epidemic model with varying infectivity and general exposed and infectious periods, where the infectivity of each individual is a random function of the elapsed time since infection, those function being i.i.d. for the…

概率论 · 数学 2021-06-01 Raphael Forien , Guodong Pang , Etienne Pardoux

We develop a stochastic framework for viral population dynamics at the cellular level that explicitly incorporates the replication cycle with random stage durations. The model is formulated as a structured birth-death process coupled with a…

种群与进化 · 定量生物学 2026-05-13 Seong Jun Park

Global mobility flow data are at the heart of spatial epidemiological models used to predict infectious disease behavior but this wealth of data on human mobility has been largely neglected by reconstructions of pathogen evolutionary…