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We model sex-structured population dynamics to analyze pairwise competition between groups differing both genetically and culturally. A sex-ratio allele is expressed in the heterogametic sex only, so that assumptions of Fisher's analysis do…

Populations and Evolution · Quantitative Biology 2012-09-10 F. Molnar , T. Caraco , G. Korniss

How long people live depends on their health, and how it changes with age. Individual health can be tracked by the accumulation of age-related health deficits. The fraction of age-related deficits is a simple quantitative measure of human…

Quantitative Methods · Quantitative Biology 2016-03-23 Swadhin Taneja , Arnold B. Mitnitski , Kenneth Rockwood , Andrew D. Rutenberg

We introduce a simple model of population dynamics which considers birth and death rates for every individual that depend on the number of particles in its neighborhood. The model shows an inhomogeneous quasistationary pattern with many…

Condensed Matter · Physics 2009-11-10 Emilio Hernandez-Garcia , Cristobal Lopez

We study the effect of mutations in a simple model of colonization, based on Montecarlo simulations. When the population colonizes the whole available habitat, a maximum population density is reached, which depends on the mutation rate.…

Populations and Evolution · Quantitative Biology 2009-11-10 R. Huerta-Quintanilla , M. Rodriguez-Achach

The strong Allee effect plays an important role on the evolution of population in ecological systems. One important concept is the Allee threshold that determines the persistence or extinction of the population in a long time. In general, a…

Analysis of PDEs · Mathematics 2024-08-05 Fanze Kong , Juncheng Wei

Mortality displacement is the concept that deaths are moved forward in time (e.g., a few days, several months, and years) by exposure from when they would occur without the exposure, which is common in environmental time-series studies.…

Quantitative Methods · Quantitative Biology 2022-03-29 Honghyok Kim , Jong-Tae Lee , Roger D. Peng , Kelvin C. Fong , Michelle L. Bell

We consider birth-and-death stochastic evolution of genotypes with different lengths. The genotypes might mutate that provides a stochastic changing of lengthes by a free diffusion law. The birth and death rates are length dependent which…

Populations and Evolution · Quantitative Biology 2015-06-16 Dmitri Finkelshtein , Yuri Kondratiev , Oleksandr Kutoviy , Stanislav Molchanov , Elena Zhizhina

Using demographic data of high spatial resolution for a region in the south of Europe, we study the population over fixed-size spatial cells. We find that, counterintuitively, the distribution of the number of inhabitants per cell increases…

Physics and Society · Physics 2022-12-07 Alvaro Corral , Montserrat García del Muro

The influence of per capita income on life expectancy is well documented, mostly through studies of multinational samples. However, one expects fairly weak correlations at both ends of the life span, that is to say in early infancy and in…

Physics and Society · Physics 2021-09-22 Peter Richmond , Wonguk Cho , Beom Jun Kim , Bertrand M. Roehner

Positive density-dependence occurs when individuals experience increased survivorship, growth, or reproduction with increased population densities. Mechanisms leading to these positive relationships include mate limitation, saturating…

Populations and Evolution · Quantitative Biology 2019-02-12 Sebastian J. Schreiber

In the interest of conservation, the importance of having a large habitat available for a species is widely known. Here, we introduce a lattice-based model for a population and look at the importance of fluctuations as well as that of the…

Populations and Evolution · Quantitative Biology 2007-05-23 Alastair Windus , Henrik Jeldtoft Jensen

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

Populations and Evolution · Quantitative Biology 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

When predicting the fate and consequences of recurring deleterious mutations in self-fertilising populations most models developed make the assumption that populations have discrete non-overlapping generations. This makes them biologically…

Populations and Evolution · Quantitative Biology 2016-04-22 Diala Abu Awad , Viet-Chi Tran , Sylvain Billiard

The understanding of the macroscopic phenomenological models of the population growth at a microscopic level is important to predict the population behaviors emerged from the interactions between the individuals. In this work we consider…

Populations and Evolution · Quantitative Biology 2017-11-23 Yong Chen

We consider population models in which the individuals reproduce, die and also migrate in space. The population size scales according to some parameter $N$, which can have different interpretations depending on the context. Each individual…

Probability · Mathematics 2012-12-21 Ankit Gupta

Classical stochastic demography predicts that environmental stochasticity reduces population growth rates and, thereby, can increase extinction risk. In contrast, the SAS-CFF model demonstrates that environmental stochasticity can promote…

Populations and Evolution · Quantitative Biology 2019-07-25 Sebastian J. Schreiber

The question of whether biological populations survive or are eventually driven to extinction has long been examined using mathematical models. In this work we study population survival or extinction using a stochastic, discrete…

Populations and Evolution · Quantitative Biology 2021-09-15 Yifei Li , Stuart T. Johnston , Pascal R. Buenzli , Peter van Heijster , Matthew J. Simpson

In this paper we explore the life expectancy limits by based on the stochastic modeling of mortality and applying the first exit or hitting time theory of a stochastic process. The main assumption is that the health state or the "vitality",…

Chaotic Dynamics · Physics 2011-01-11 Christos H Skiadas , Charilaos Skiadas

Plant survival is a key factor in forest dynamics and survival probabilities often vary across life stages. Studies specifically aimed at assessing tree survival are unusual and so data initially designed for other purposes often need to be…

Populations and Evolution · Quantitative Biology 2015-02-02 Aristides Moustakas , Matthew R. Evans

Traditional approaches to ecosystem modelling have relied on spatially homogeneous approximations to interaction, growth and death. More recently, spatial interaction and dispersal have also been considered. While these leads to certain…

Populations and Evolution · Quantitative Biology 2010-10-07 Thomas Adams \ast , Graeme Ackland , Glenn Marion , Colin Edwards