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We introduce a two-strain model with asymmetric temporary immunity periods and partial cross-immunity. We derive explicit conditions for competitive exclusion and coexistence of the strains depending on the strain-specific basic…

动力系统 · 数学 2023-06-28 Matthew D. Johnston , Bruce Pell , David A. Rubel

This paper shows that differentiating the lifetimes of two phenotypes independently from their fertility can lead to a qualitative change in the equilibrium of a population: since survival and reproduction are distinct functional aspects of…

种群与进化 · 定量生物学 2013-05-22 Ignacio Gallo

Genetic diversity is central to the process of evolution. Both natural selection and random genetic drift are influenced by the level of genetic diversity of a population; selection acts on diversity while drift samples from it. At a given…

种群与进化 · 定量生物学 2024-11-12 Nikolas Vellnow , Toni I. Gossmann , David Waxman

The need to harmonise apparently irreconcilable arrangements in an ecosystem --nestedness and segregation-- has triggered so far different strategies. Methodological refinements, or the inclusion of behavioural preferences to the network…

We consider a population constituted by two types of individuals; each of them can produce offspring in two different islands (as a particular case the islands can be interpreted as active or dormant individuals). We model the evolution of…

种群与进化 · 定量生物学 2026-04-01 María Emilia Caballero , Adrián González Casanova , José Luis Pérez

We introduce and study a natural multispecies variant of the inhomogeneous PushTASEP with site-dependent rates on the finite ring. We show that the stationary distribution of this process is proportional to the ASEP polynomials at $q = 1$…

概率论 · 数学 2024-09-04 Arvind Ayyer , James B. Martin

We model and study the genetic evolution and conservation of a population of diploid hermaphroditic organisms, evolving continuously in time and subject to resource competition. In the absence of mutations, the population follows a 3-type…

概率论 · 数学 2012-07-23 Camille Coron

When long-lived, balancing selection can lead to trans-species polymorphisms that are shared by two or more species identical by descent. In this case, the gene genealogies at the selected sites cluster by allele instead of by species and,…

种群与进化 · 定量生物学 2014-01-30 Ziyue Gao , Molly Przeworski , Guy Sella

The aim of this paper is to describe a population model with transition. We analyze the spectral properties of the transition matrix considering both irreducible and reducible structures. We give physical interpretations of these properties…

偏微分方程分析 · 数学 2024-09-30 Amartya Goswami

A steady influx of a single deleterious multilocus genotype will impose genetic load on the resident population and leave multiple descendants carrying various numbers of the foreign alleles. Provided that the foreign types are rare at…

种群与进化 · 定量生物学 2015-06-16 Alexey Yanchukov , Stephen R. Proulx

Source-sink systems are metapopulations of patches that can be of variable habitat quality. They can be seen as graphs, where vertices represent the patches, and the weighted oriented edges give the probability of dispersal from one patch…

概率论 · 数学 2011-11-11 Vincent Bansaye , Amaury Lambert

Consider a haploid population of fixed finite size with a finite number of allele types and having Cannings exchangeable genealogy with neutral mutation. The stationary distribution of the Markov chain of allele counts in each generation is…

概率论 · 数学 2016-12-09 H. L. Gan , Adrian Röllin , Nathan Ross

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is…

神经与进化计算 · 计算机科学 2020-08-25 Jüri Lember , Chris Watkins

There is a rich literature for modeling binary and polychotomous responses. However, existing methods are inadequate for handling combinatorial responses, where each response is an integer array under additional constraints. Such data are…

统计方法学 · 统计学 2026-05-05 Yu Zheng , Malay Ghosh , Leo Duan

A mechanism of sympatric speciation is presented based on the interaction-induced developmental plasticity of phenotypes. First, phenotypes of individuals with identical genotypes split into a few groups, according to instability in the…

适应与自组织系统 · 物理学 2007-05-23 Kunihiko Kaneko

Let L be any infinite biperiodic alternating link. We show that for any sequence of finite links that Folner converges almost everywhere to L, their determinant densities converge to the Mahler measure of the 2-variable characteristic…

几何拓扑 · 数学 2018-11-16 Abhijit Champanerkar , Ilya Kofman

We propose a change in focus from the prevalent paradigm based on the branching property as a tool to analyze the structure of population models, to one based on the self-similarity property, which we also introduce for the first time in…

概率论 · 数学 2026-04-15 Arno Siri-Jégousse , Alejandro Hernández Wences

Social discrimination seems to be a persistent phenomenon in many cultures. It is important to understand the mechanisms that lead people to judge others by the group to which they belong, rather than individual qualities. It was recently…

适应与自组织系统 · 物理学 2019-12-11 Gorm Gruner Jensen , Frederik Tischel , Stefan Bornholdt

Thuiller et al. analyzed the consequences of anticipated climate change on plant, bird, and mammal phylogenetic diversity (PD) across Europe. They concluded that species loss will not be clade specific across the Tree of Life, and that…

种群与进化 · 定量生物学 2014-06-23 Charles C. Davis , Hanno Schaefer , Brad R. Ruhfel , Michael J. Donoghue , Erika J. Edwards

Development combines three basic processes asymmetric --- cell division, signaling and gene regulation --- in a multitude of ways to create an overwhelming diversity of multicellular life-forms. Here, we attempt to chart this diversity…

分子网络 · 定量生物学 2020-01-01 Somya Mani , Tsvi Tlusty