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Why do human populations remain vulnerable to collapse, even when they are large? Classical demographic theory predicts that volatility in growth should decline rapidly with size due to the averaging effects of the law of large numbers. As…

Populations and Evolution · Quantitative Biology 2025-10-10 Marcus J. Hamilton , Robert S. Walker

Households play an important role in disease dynamics. Many infections happening there due to the close contact, while mitigation measures mainly target the transmission between households. Therefore, one can see households as boosting the…

Populations and Evolution · Quantitative Biology 2025-01-22 Philipp Doenges , Thomas Götz , Tyll Krueger , Karol Niedzielewski , Viola Priesemann , Moritz Schaefer

Although maturation delays are frequently included in population models, researchers rarely account for mortality between birth and maturity. Previous discrete population models have included mortality of immature individuals during the…

Populations and Evolution · Quantitative Biology 2025-10-08 Christopher J. Greyson-Gaito , Sabrina H. Streipert , Gail S. K. Wolkowicz

The accounts of medical trials provide very detailed information about the patients' health conditions. In contrast, only minimal data are usually given about demographic factors. Yet, some of these factors can have a notable impact on the…

Applications · Statistics 2015-06-16 Bertrand M. Roehner

Population-level scaling in ecological systems arises from individual growth and death with competitive constraints. We build on a minimal dynamical model of metabolic growth where the tension between individual growth and mortality…

Populations and Evolution · Quantitative Biology 2022-05-11 Edward D. Lee , Christopher P. Kempes , Geoffrey B. West

A phenomenon that strongly influences the demography of small introduced populations and thereby potentially their genetic diversity is the Allee effect, a reduction in population growth rates at small population sizes. We take a stochastic…

Populations and Evolution · Quantitative Biology 2013-11-25 Meike J. Wittmann , Wilfried Gabriel , Dirk Metzler

Population genetics struggles to model extinction; standard models track the relative rather than absolute fitness of genotypes, while the exceptions describe only the short-term transition from imminent doom to evolutionary rescue. But…

Populations and Evolution · Quantitative Biology 2017-02-20 Jason Bertram , Kevin Gomez , Joanna Masel

The question of whether a population will persist or go extinct is of key interest throughout ecology and biology. Various mathematical techniques allow us to generate knowledge regarding individual behaviour, which can be analysed to…

Populations and Evolution · Quantitative Biology 2021-04-28 Stuart T. Johnston , Matthew J. Simpson , Edmund J. Crampin

In usual demographic analysis, force of mortality is a function of one variable, that is, of age. In this article bi-variate and multivariate force of mortality functions are introduced for the first time to explain mortality differentials.…

Dynamical Systems · Mathematics 2019-02-26 Swagata Mitra , Pratyush Singh , Arni S. R. Srinivasa Rao

Immigration can rescue local populations from extinction, helping to stabilise a metapopulation. Local population dynamics is important for determining the strength of this rescue effect, but the mechanistic link between local demographic…

Populations and Evolution · Quantitative Biology 2014-02-24 A. Eriksson , F. Elias Wolff , B. Mehlig , A. Manica

We present an analysis of the stellar populations in a sample of ~7000 galaxies from the 6dF Galaxy Survey (6dFGS). We derive ages and metallicities using stellar population models. We also derive dynamical masses and dynamical…

Astrophysics · Physics 2009-11-13 Robert N. Proctor , Philip Lah , Duncan A. Forbes , Matthew Colless , Warrick Couch

The component Allee effect (AE) is the positive correlation between an organism's fitness component and population density. Depending on the population spatial structure, which determines the interactions between organisms, a component AE…

Populations and Evolution · Quantitative Biology 2025-03-13 Daniel Cardoso Pereira Jorge , Ricardo Martinez-Garcia

We discuss several continuum cell-cell adhesion models based on the underlying microscopic assumptions. We propose an improvement on these models leading to sharp fronts and intermingling invasion fronts between different cell type…

Cell Behavior · Quantitative Biology 2019-01-11 Jose A. Carrillo , Hideki Murakawa , Makoto Sato , Hideru Togashi , Olena Trush

Dynamics maintaining diversity of cell types in a multi-cellular system are studied in relationship with the plasticity of cellular states. First, we introduce a new theoretical framework, reaction-diffusion system on `chemical species…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Hiroaki Takagi , Kunihiko Kaneko

A large percentage of the deaths from COVID-19 occur among residents of long-term care facilities. There are two possible reasons for this phenomenon. First, the structural features of such settings may lead to death. Alternatively, it is…

Physics and Society · Physics 2020-06-29 Neil Gandal , Matan Yonas , Michal Feldman , Ady Pauzner , Avraham Tabbach

The concept of a carrying capacity is essential in most models to prevent unlimited growth. Despite the large amount of deaths it introduces, the actual influence of the Verhulst term in simulations is often times not accounted for.…

Populations and Evolution · Quantitative Biology 2010-11-30 Chrysline Margus Pinol , Ronald Banzon

We investigate the impact of Allee effect and dispersal on the long-term evolution of a population in a patchy environment, focusing on whether a population already established in one patch either successfully invades an adjacent empty…

Classical Analysis and ODEs · Mathematics 2010-03-02 Yun Kang , Nicolas Lanchier

This paper extends Bayesian mortality projection models for multiple populations considering the stochastic structure and the effect of spatial autocorrelation among the observations. We explain high levels of overdispersion according to…

Methodology · Statistics 2021-03-08 Zhen Liu , Xiaoqian Sun , Yu-Bo Wang

Background: Controlling global epidemics in the real world and accelerating information propagation in the artificial world are of great significance, which have activated an upsurge in the studies on networked spreading dynamics. Lots of…

Physics and Society · Physics 2012-04-03 Ai-Xiang Cui , Zimo Yang , Tao Zhou

It has been known for many years that small fractions of persister cells resist killing in many bacterial colony-antimicrobial confrontations. These persisters are not believed to be mutants. Rather it has been hypothesized that they are…

Cell Behavior · Quantitative Biology 2007-05-23 I. Klapper , P. Gilbert , B. P. Ayati , J. Dockery , P. S. Stewart