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The population dynamics of predator-prey systems in the presence of patch-specific predators are explored in a setting where the prey population has access to both habitats. The emphasis is in situations where patch-prey abundance drives…

Dynamical Systems · Mathematics 2009-07-31 F. Berezovskaya , S. Wirkus , C. Castillo-Chavez

The interplay between space and evolution is an important issue in population dynamics, that is in particular crucial in the emergence of polymorphism and spatial patterns. Recently, biological studies suggest that invasion and evolution…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Sylvie Méléard

The comprehension of how local interactions arise in global collective behavior is of utmost importance in both biological and physical research. Traditional agent-based models often rely on static rules that fail to capture the dynamic…

Populations and Evolution · Quantitative Biology 2023-08-25 Jianan Li , Liang Li , Shiyu Zhao

We simulate an individual-based model that represents both the phenotype and genome of digital organisms with predator-prey interactions. We show how open-ended growth of complexity arises from the invariance of genetic evolution operators…

Populations and Evolution · Quantitative Biology 2009-11-13 Nicholas Guttenberg , Nigel Goldenfeld

Highly-diverse ecosystems exhibit a broad distribution of population sizes and species turnover, where species at high and low abundances are exchanged over time. We show that these two features generically emerge in the fluctuating phase…

Populations and Evolution · Quantitative Biology 2024-01-09 Thibaut Arnoulx de Pirey , Guy Bunin

We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation. Biologically motivated by the influence of seasons or the variation of drug concentration during medical treatment,…

Probability · Mathematics 2025-03-26 Manuel Esser , Anna Kraut

Geographic ranges of communities of species evolve in response to environmental, ecological, and evolutionary forces. Understanding the effects of these forces on species' range dynamics is a major goal of spatial ecology. Previous…

Populations and Evolution · Quantitative Biology 2022-02-02 Farshad Shirani , Judith R. Miller

The Allee effect describes a decline in population fitness at low densities, potentially leading to extinction. In predator-prey systems, an emergent Allee effect can arise due to interactions such as density-dependent maturation rates and…

Populations and Evolution · Quantitative Biology 2025-03-25 Carlos Granados , Leon A. Valencia

The evolutionary process has been modelled in many ways using both stochastic and deterministic models. We develop an algebraic model of evolution in a population of asexually reproducing organisms in which we represent a stochastic walk in…

Populations and Evolution · Quantitative Biology 2013-01-18 Daniel Nichol , Peter Jeavons , Robert Bonomo , Philip K. Maini , Jerome L. Paul , Robert A. Gatenby , Alexander R. A. Anderson , Jacob G. Scott

Laboratory experiments with bacterial colonies, under well-controlled conditions often lead to evolutionary diversification, where at least two ecotypes emerge from an initially monomorphic population. Empirical evidence suggests that such…

Populations and Evolution · Quantitative Biology 2024-11-06 Roberto Corral López , Samir Suweis , Sandro Azaele , Miguel A. Muñoz

We consider an individual-based spatially structured population for Darwinian evolution in an asexual population. The individuals move randomly on a bounded continuous space according to a reflected brownian motion. The dynamics involves…

Probability · Mathematics 2015-09-08 Helene Leman

This paper demonstrates that simple yet important characteristics of coevolution can occur in evolutionary algorithms when only a few conditions are met. We find that interaction-based fitness measurements such as fitness (linear) ranking…

Neural and Evolutionary Computing · Computer Science 2009-07-03 James M Whitacre

Ecological systems are complex dynamical systems. Modelling efforts on ecosystems' dynamical stability have revealed that population dynamics, being highly nonlinear, can be governed by complex fluctuations. Indeed, experimental and field…

Dynamical Systems · Mathematics 2020-02-19 Lluís Alsedà , José Tomás Lázaro , Ricard Solé , Blai Vidiella , Josep Sardanyés

We examine the feasibility of predicting and subsequently managing the future evolution of a Complex Adaptive System. Our archetypal system mimics a competitive population of mechanical, biological, informational or human objects. We show…

Disordered Systems and Neural Networks · Physics 2007-05-23 David M. D. Smith , Neil F. Johnson

Intraspecific trait variation has been increasingly recognized as an important factor in determining species interaction and diversity. Eco-evolutionary models have studied the distribution of trait values within a population that changes…

Populations and Evolution · Quantitative Biology 2023-10-12 Zachary Jackson , BingKan Xue

Cooperation is a major factor in the evolution of human societies. The structure of human social networks, which affects the dynamics of cooperation and other interpersonal phenomena, have common structural signatures. One of these…

Social and Information Networks · Computer Science 2018-07-10 Babak Fotouhi , Naghmeh Momeni , Benjamin Allen , Martin A. Nowak

We are interested in a stochastic model of trait and age-structured population undergoing mutation and selection. We start with a continuous time, discrete individual-centered population process. Taking the large population and rare…

Probability · Mathematics 2009-03-28 Sylvie Méléard , Viet Chi Tran

The use of predator-prey models in theoretical ecology has a long history, and the model equations have largely evolved since the original Lotka-Volterra system towards more realistic descriptions of the processes of predation, reproduction…

Populations and Evolution · Quantitative Biology 2021-09-21 Deeptajyoti Sen , Andrew Morozov , S. Ghorai , Malay Banerjee

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…

Neural and Evolutionary Computing · Computer Science 2020-08-25 Jüri Lember , Chris Watkins

The internal behaviour of a population is an important feature to take account of when modelling their dynamics. In line with kin selection theory, many social species tend to cluster into distinct groups in order to enhance their overall…

Methodology · Statistics 2023-11-02 Blake McGrane-Corrigan , Oliver Mason , Rafael de Andrade Moral