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We investigate the evolutionary rescue of a microbial population in a gradually deteriorating environment, through a combination of analytical calculations and stochastic simulations. We consider a population destined for extinction in the…

种群与进化 · 定量生物学 2020-12-17 Loïc Marrec , Anne-Florence Bitbol

Biodiversity widely observed in ecological systems is attributed to the dynamical balance among the competing species. The time-varying populations of the interacting species are often captured rather well by a set of deterministic…

种群与进化 · 定量生物学 2010-05-25 Yen-Chih Lin , Tzay-Ming Hong , Hsiu-Hau Lin

A primary motivation for our research in Digital Ecosystems is the desire to exploit the self-organising properties of biological ecosystems. Ecosystems are thought to be robust, scalable architectures that can automatically solve complex,…

神经与进化计算 · 计算机科学 2009-10-05 Gerard Briscoe , Philippe De Wilde

Spatial metapopulation models are fundamental to theoretical ecology, enabling to study how landscape structure influences global species dynamics. Traditional models, including recent generalizations, often rely on the deterministic limit…

种群与进化 · 定量生物学 2025-06-24 Alice Doimo , Giorgio Nicoletti , Davide Bernardi , Prajwal Padmanabha

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…

种群与进化 · 定量生物学 2015-02-18 Jose A. Capitan , Jose A. Cuesta

In both natural and artificial studies, evolution is often seen as synonymous to natural selection. Individuals evolve under pressures set by environments that are either reset or do not carry over significant changes from previous…

种群与进化 · 定量生物学 2023-05-17 Eleni Nisioti , Clément Moulin-Frier

Mounting evidence indicates that our planet might experience runaway effects associated to rising temperatures and ecosystem overexploitation, leading to catastrophic shifts on short time scales. Remediation scenarios capable of…

定量方法 · 定量生物学 2015-03-18 Ricard Solé , Salva Duran-Nebreda , Raul Montañez

Ecological resilience refers to the ability of a system to retain its state when subject to state variables perturbations or parameter changes. While understanding and quantifying resilience is crucial to anticipate the possible regime…

动力系统 · 数学 2019-05-10 Artur César Fassoni , Denis de Carvalho Braga

We consider the dynamics of a population spatially structured in colonies that are vulnerable to catastrophic events occurring at random times, which randomly reduce their population size and compel survivors to disperse to neighboring…

We examine the switching dynamics of a stochastic population subjected to a deterministically time-varying environment. Our approach is demonstrated in the realm of ecology on a problem of population establishment. Here, by assuming a…

统计力学 · 物理学 2020-02-19 Tom Israeli , Michael Assaf

In the past decades human activities caused global Earth system changes, e.g., climate change or biodiversity loss. Simultaneously, these associated impacts have increased environmental awareness within societies across the globe, thereby…

物理与社会 · 物理学 2021-05-11 Paul Manuel Müller , Jobst Heitzig , Jürgen Kurths , Kathy Lüdge , Marc Wiedermann

Evolutionary games are a developing sub-field of game theory. This branch of game theory is used in the study of the adaptation of large, but finite, populations of agents to changes in the environment. It assumes that each agent has no…

计算机科学与博弈论 · 计算机科学 2023-07-12 E. M. Lorits , E. A. Gubar

We study the effect of random perturbations in the Human and Nature Dynamics (HANDY) model. HANDY models the interactions between human population, depletion, and consumption of natural resources. HANDY explains how endogenous human--nature…

物理与社会 · 物理学 2024-07-23 Loic Patry , Pierre Morel , Egle Tomasi-Gustafsson , Eugenia Kalnay , Jorge Rivas , Safa Mote

Consider a population whose size changes stepwise by its members reproducing or dying (disappearing), but is otherwise quite general. Denote the initial (non-random) size by $Z_0$ and the size of the $n$th change by $C_n$, $n= 1, 2,…

概率论 · 数学 2020-08-05 Peter Jagers , Sergei Zuyev

Many species are unsustainable at small population densities (Allee Effect), i.e., below a threshold named Allee threshold, the population decreases instead of growing. In a closed local population, environmental fluctuations always lead to…

种群与进化 · 定量生物学 2022-01-27 Rodrigo Crespo , Javier Jarillo , Francisco J. Cao-García

We discuss the relevance of studying ecology within the framework of Complexity Science from a statistical mechanics approach. Ecology is concerned with understanding how systems level properties emerge out of the multitude of interactions…

种群与进化 · 定量生物学 2007-09-14 Henrik Jeldtoft Jensen , Elsa Arcaute

We consider the system of reaction-diffusion equations proposed in [8] as a population dynamics model. The first equation stands for the population density and models the ecological effects, namely dispersion and growth with a Allee effect…

偏微分方程分析 · 数学 2018-01-23 Matthieu Alfaro , Arnaud Ducrot

Critical transitions or regime shifts are sudden and unexpected changes in the state of an ecosystem, that are usually associated with dangerous levels of environmental change. However, recent studies show that critical transitions can also…

种群与进化 · 定量生物学 2019-08-16 Anna Vanselow , Sebastian Wieczorek , Ulrike Feudel

A primary motivation for our research in Digital Ecosystems is the desire to exploit the self-organising properties of biological ecosystems. Ecosystems are thought to be robust, scalable architectures that can automatically solve complex,…

神经与进化计算 · 计算机科学 2016-11-18 G. Briscoe , S. Sadedin , G. Paperin

The main topic of this thesis is the analysis of evolution equations reflecting issues in ecology and population dynamics. In mathematical modelling, the impact of environmental elements and the interaction between species is read into the…

偏微分方程分析 · 数学 2021-03-08 Elisa Affili