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Recently we have extended our the "unified" model of evolutionary ecology to incorporate the {\it spatial inhomogeneities} of the eco-system and the {\it migration} of individual organisms from one patch to another within the same…

Populations and Evolution · Quantitative Biology 2009-11-10 Ambarish Kunwar

In this work we address the analysis of discrete-time models of structured metapopulations subject to environmental stochasticity. Previous works on these models made use of the fact that migrations between the patches can be considered…

Populations and Evolution · Quantitative Biology 2024-02-07 Luis Sanz , Rafael Bravo de la Parra

Numerous experimental studies have demonstrated that the microenvironment is a key regulator influencing the proliferative and migrative potentials of species. Spatial and temporal disturbances lead to adverse and hazardous…

Populations and Evolution · Quantitative Biology 2015-10-07 Venkata. S. K. Manem , Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

Ecosystems often undergo abrupt regime shifts in response to gradual external changes. These shifts are theoretically understood as a regime switch between alternative stable states of the ecosystem dynamical response to smooth changes in…

Populations and Evolution · Quantitative Biology 2015-02-18 Jose A. Capitan , Jose A. Cuesta

Species growing in environments that change in time and space will vary in their abundance across locations, even in the absence of persistent location preferences. Here we quantify this non-equilibrium effect by studying a minimal model of…

Populations and Evolution · Quantitative Biology 2026-03-04 James F. D. Henderson , Andreas Tiffeau-Mayer

We propose a general model to study the interplay between spatial dispersal and environment spatiotemporal fluctuations in metapopulation dynamics. An ecological landscape of favorable patches is generated like a L\'{e}vy dust, which allows…

Populations and Evolution · Quantitative Biology 2015-08-20 E. H. Colombo , C. Anteneodo

We study the evolutionary dynamics of games under environmental feedback using replicator equations for two interacting populations. One key feature is to consider jointly the co-evolution of the dynamic payoff matrices and the state of the…

Populations and Evolution · Quantitative Biology 2021-05-20 Lulu Gong , Jian Gao , Ming Cao

Many-variable differential equations with random coefficients provide powerful models for the dynamics of many interacting species in ecology. These models are known to exhibit a dynamical phase transition from a phase where population…

Statistical Mechanics · Physics 2025-02-19 Thibaut Arnoulx de Pirey , Guy Bunin

Species experience both internal feedbacks with endogenous factors such as trait evolution and external feedbacks with exogenous factors such as weather. These feedbacks can play an important role in determining whether populations persist…

Populations and Evolution · Quantitative Biology 2016-12-21 Swati Patel , Sebastian J Schreiber

Understanding how a diversity of plants in agroecosystems affects the adaptation of pathogens in a key issue in agroecology. We analyze PDE systems describing the dynamics of adaptation of two phenotypically structured populations, under…

Analysis of PDEs · Mathematics 2021-03-08 François Hamel , Florian Lavigne , Lionel Roques

In Evolutionary game theory the payoffs are typically fixed or shaped by external environmental variables. Here, we introduce an endogenous-feedback model in which the game played coevolves directly with the population state: the payoff…

The purpose of this roadmap article is to draw attention to a paradigm shift in our understanding of evolution towards a perspective of ecological-evolutionary feedback, highlighted through two recent highly simplified examples of rapid…

Populations and Evolution · Quantitative Biology 2019-11-12 Hong-Yan Shih , Nigel Goldenfeld

Migration is a key mechanism for expansion of communities. In spatially heterogeneous environments, rapidly gaining knowledge about the local environment is key to the evolutionary success of a migrating population. For historical human…

Populations and Evolution · Quantitative Biology 2016-12-07 Dong Wang , Michael W. Deem

Predators often consume multiple prey and by mutually subsidizing a shared predator, the prey may reciprocally harm each other. When predation levels are high, this apparent competition can culminate in a prey species being displaced.…

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

Motivated by the climate crisis that is currently ravaging the planet, we propose and analyze a novel framework for the evolution of anthropogenic climate impact in which the evolution of human environmental behavior and environmental…

Dynamical Systems · Mathematics 2022-11-22 Kathinka Frieswijk , Lorenzo Zino , A. Stephen Morse , Ming Cao

Ecological systems comprise an astonishing diversity of species that cooperate or compete with each other forming complex mutual dependencies. The minimum requirements to maintain a large species diversity on long time scales are in general…

Populations and Evolution · Quantitative Biology 2012-09-10 Joachim Mathiesen , Namiko Mitarai , Kim Sneppen , Ala Trusina

The spatial heterogeneity of cities -- the uneven distribution of population and activities -- is fundamental to urban dynamics and related to critical issues such as infrastructure overload, housing affordability, and social inequality.…

Physics and Society · Physics 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu

We present new theoretical and empirical results on the probability distributions of species persistence times in natural ecosystems. Persistence times, defined as the timespans occurring between species' colonization and local extinction…

Populations and Evolution · Quantitative Biology 2012-03-21 S. Suweis , E. Bertuzzo , L. Mari , I. Rodriguez-Iturbe , A. Maritan , A. Rinaldo

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

Community assembly is studied using individual-based multispecies models. The models have stochastic population dynamics with mutation, migration, and extinction of species. Mutants appear as a result of mutation of the resident species,…

Populations and Evolution · Quantitative Biology 2010-05-18 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold