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Human mortality patterns and trajectories in closely related populations are likely linked together and share similarities. It is always desirable to model them simultaneously while taking their heterogeneity into account. This paper…

Methodology · Statistics 2024-12-30 Ka Kin Lam , Bo Wang

In numerous contexts, individuals may decide whether they take actions to mitigate the spread of disease, or not. Mitigating the spread of disease requires an individual to change their routine behaviours to benefit others, resulting in a…

Physics and Society · Physics 2020-08-11 Julie Rowlett , Carl-Joar Karlsson

We propose a novel frailty model with change points applying random effects to a Cox proportional hazard model to adjust the heterogeneity between clusters. Because the frailty model includes random effects, the parameters are estimated…

Methodology · Statistics 2023-01-12 Masahiro Kojima , Shunichiro Orihara

I study a population model in which the reproduction rate lambda is inherited with mutation, favoring fast reproducers in the short term, but conflicting with a process that eliminates agglomerations of individuals. The model is a variant…

Statistical Mechanics · Physics 2021-06-02 Ronald Dickman

We address a novel approach for stochastic individual-based modelling of a single species population. Individuals are distinguished by their remaining lifetimes, which are regulated by the interplay between the inexorable running of time…

Populations and Evolution · Quantitative Biology 2021-01-08 Luis R. T. Neves , Leonardo Paulo Maia

We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation, with linear birth and death rates, as well as a density-dependent competition. To depict repeating changes of the…

Populations and Evolution · Quantitative Biology 2025-05-28 Manuel Esser , Anna Kraut

Over time, the performance of clinical prediction models may deteriorate due to changes in clinical management, data quality, disease risk and/or patient mix. Such prediction models must be updated in order to remain useful. Here, we…

Aging is a fundamental aspect of living systems that undergo a progressive deterioration of physiological function with age and an increase of vulnerability to disease and death. Living systems, known as complex systems, require complexity…

Populations and Evolution · Quantitative Biology 2010-11-15 Byung Mook Weon , Jung Ho Je

A step to consilience, starting with a deconstruction of the causality of uncertainty that is embedded in the fundamentals of growth and inequality, following a construction of aggregation laws that disclose the invariance principle across…

Probability · Mathematics 2017-05-23 Zhengyuan Gao

We analyze evolutionary dynamics on graphs, where the nodes represent individuals of a population. The links of a node describe which other individuals can be displaced by the offspring of the individual on that node. Amplifiers of…

Populations and Evolution · Quantitative Biology 2016-10-27 Laura Hindersin , Arne Traulsen

We analyze the dynamics of a population of independent random walkers on a graph and develop a simple model of epidemic spreading. We assume that each walker visits independently the nodes of a finite ergodic graph in a discrete-time…

Physics and Society · Physics 2021-01-19 Michael Bestehorn , Alejandro P. Riascos , Thomas M. Michelitsch , Bernard A. Collet

Repeated interactions are ubiquitous and known to promote social behaviour. While research often focuses on cooperation in the Prisoner's Dilemma, experimental evidence suggests repeated interactions also foster fairness. This study…

Adaptation and Self-Organizing Systems · Physics 2026-04-07 Prosanta Mandal , Arunava Patra , Sagar Chakraborty

We present a simple model for describing the dynamics of the interaction between a homogeneous population or society, and the natural resources and reserves that the society needs for its survival. The model is formulated in terms of…

Physics and Society · Physics 2020-04-22 Basil Grammaticos , Ralph Willox , Junkichi Satsuma

Interpretation of empirical results based on a taxa's lifetime distribution shows apparently conflicting results. Species' lifetime is reported to be exponentially distributed, whereas higher order taxa, such as families or genera, follow a…

Populations and Evolution · Quantitative Biology 2009-11-11 S. Pigolotti , A. Flammini , M. Marsili , A. Maritan

In this work we deal with correlated failure time (age at onset) data arising from population-based case-control studies, where case and control probands are selected by population-based sampling and an array of risk factor measures is…

Statistics Theory · Mathematics 2007-06-13 Malka Gorfine , David M. Zucker , Li Hsu

Heterogeneities in environmental conditions often induce corresponding heterogeneities in the distribution of species. In the extreme case of a localized patch of increased growth rates, reproducing populations can become strongly…

Populations and Evolution · Quantitative Biology 2013-01-17 Lukas Geyrhofer , Oskar Hallatschek

In this paper we study collective decision making on a multi-population, represented by a regular network of groups of individuals. Each group consists of a collection of players and every player can choose between two options. A group is…

Optimization and Control · Mathematics 2020-11-18 Wouter Baar , Dario Bauso

Genetic data are often used to infer demographic history and changes or detect genes under selection. Inferential methods are commonly based on models making various strong assumptions: demography and population structures are supposed…

Populations and Evolution · Quantitative Biology 2020-07-28 Clotilde Lepers , Sylvain Billiard , Matthieu Porte , Sylvie Méléard , Viet Chi Tran

Ecologists have long argued about the strength of density dependence and population regulation, respectively defined as the short-term and long-term rates of return to equilibrium. Here, I give three arguments for the intractability of…

Populations and Evolution · Quantitative Biology 2024-12-24 Evan C. Johnson

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

Physics and Society · Physics 2021-08-24 John C. Stevenson
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