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We propose two simple probability models to compute the probability of an influenza pandemic. Under a random walk model the probability that all pandemics between times 0 and 300 occur by time 150 is 1/2. Under a Poisson model with mean…

概率论 · 数学 2008-07-23 Rinaldo B. Schinazi

In a Markov chain population model subject to catastrophes, random immigration events (birth), promoting growth, are in balance with the effect of binomial catastrophes that cause recurrent mass removal (death). Using a generating function…

统计力学 · 物理学 2021-01-12 Branda Goncalves , Thierry Huillet

The asymmetry of coupling between complex systems can be studied by conditional probabilities of recurrence, which can be estimated by joint recurrence plots. This approach is applied for the first time on experimental data: time series of…

混沌动力学 · 物理学 2013-06-05 Norbert Marwan , Yong Zou , Niels Wessel , Maik Riedl , Jürgen Kurths

We develop a likelihood-based inference for finite-state birth-death processes with composite birth rates, in which multiple distinct mechanisms contribute additively to the total birth intensity. Our main motivating example is an SIS…

统计理论 · 数学 2026-04-23 Marko Lalovic , Nicos Georgiou , Istvan Z. Kiss

On 11 June the World Health Organization officially raised the phase of pandemic alert (with regard to the new H1N1 influenza strain) to level 6. We use a global structured metapopulation model integrating mobility and transportation data…

The dynamics of a population exhibiting exponential growth can be modelled as a birth-death process, which naturally captures the stochastic variation in population size over time. In this article, we consider a supercritical birth-death…

种群与进化 · 定量生物学 2020-05-07 Anastasia Ignatieva , Jotun Hein , Paul A. Jenkins

Studying event time series is a powerful approach for analyzing the dynamics of complex dynamical systems in many fields of science. In this paper, we describe the method of event coincidence analysis to provide a framework for quantifying…

In temperate climates, mortality is seasonal with a winter-dominant pattern, due in part to pneumonia and influenza. Cardiac causes, which are the leading cause of death in the United States, are also winter-seasonal although it is not…

应用统计 · 统计学 2017-11-17 Tina Ho , Andrew Noymer

The spatial structure of an evolving population affects which mutations become fixed. Some structures amplify selection, increasing the likelihood that beneficial mutations become fixed while deleterious mutations do not. Other structures…

We investigate how a catastrophic event (modeled as a temporary fall of the reproduction rate) increases the extinction probability of an isolated self-regulated stochastic population. Using a variant of the Verhulst logistic model as an…

种群与进化 · 定量生物学 2014-08-06 Michael Assaf , Alex Kamenev , Baruch Meerson

In this study, we explore the dynamic interplay between the timing of vaccination campaigns and the trajectory of disease spread in a population. Through comprehensive data analysis and modeling, we have uncovered a counter-intuitive…

物理与社会 · 物理学 2024-12-06 Piergiorgio Castioni , Sergio Gòmez , Clara Granell , Alex Arenas

Extreme mutation rates in microbes and cancer cells can result in error-induced extinction (EEX), where every descendant cell eventually acquires a lethal mutation. In this work, we investigate critical birth-death processes with $n$…

种群与进化 · 定量生物学 2024-07-08 Meritxell Brunet Guasch , P. L. Krapivsky , Tibor Antal

Finding optimal policies to reduce the morbidity and mortality of the ongoing pandemic is a top public health priority. Using a compartmental model with age structure and vaccination status, we examined the effect of age specific scheduling…

种群与进化 · 定量生物学 2012-02-29 Diána Knipl , Gergely Röst

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

We propose that large stock market crashes are analogous to critical points studied in statistical physics with log-periodic correction to scaling. We extend our previous renormalization group model of stock market prices prior to and after…

凝聚态物理 · 物理学 2015-06-25 Didier Sornette , Anders Johansen

This study uses a catastrophic earthquake in 1923 to analyse the long-term effects of a natural disaster on children's health. I find that fetal exposure to Japan's Great Kanto Earthquake had stunting effects on girls in the devastated…

应用统计 · 统计学 2023-02-20 Kota Ogasawara

An important challenge in several disciplines is to understand how sudden changes can propagate among coupled systems. Examples include the synchronization of business cycles, population collapse in patchy ecosystems, markets shifting to a…

物理与社会 · 物理学 2015-11-12 Charles D. Brummitt , George Barnett , Raissa M. D'Souza

Quantities with right-skewed distributions are ubiquitous in complex social systems, including political conflict, economics and social networks, and these systems sometimes produce extremely large events. For instance, the 9/11 terrorist…

数据分析、统计与概率 · 物理学 2014-01-09 Aaron Clauset , Ryan Woodard

We consider an excitatory population of subthreshold Izhikevich neurons which exhibit noise-induced firings. By varying the coupling strength $J$, we investigate population synchronization between the noise-induced firings which may be used…

神经元与认知 · 定量生物学 2014-03-06 Sang-Yoon Kim , Woochang Lim

Occurrence of strong or mass synchronization of a large number of neuronal populations in the brain characterizes its pathological states. In order to establish an understanding of the mechanism underlying such pathological synchronization…

神经元与认知 · 定量生物学 2011-01-10 V. K. Chandrasekar , Jane H. Sheeba , M. Lakshmanan