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As a result of climate change, many populations have to modify their range to follow the suitable areas - their "climate envelope" - often risking extinction. During this migration process, they may face absolute boundaries to dispersal,…

偏微分方程分析 · 数学 2009-07-07 Lionel Roques , Alain Roques , Henri Berestycki , André Kretzschmar

Habitat loss, driven primarily by anthropogenic activity, significantly threatens ecosystem sustainability. While it is well understood that habitat loss is the leading contributor to declines in biodiversity worldwide, the connection…

偏微分方程分析 · 数学 2024-10-10 Yurij Salmaniw , Zhongwei Shen , Hao Wang

Many species see their range shifted poleward in response to global warming and need to keep pace in order to survive. To understand the effect of climate change on species ranges and its consequences on population dynamics, we consider a…

偏微分方程分析 · 数学 2016-01-26 Juliette Bouhours , Thomas Giletti

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…

种群与进化 · 定量生物学 2007-05-23 Alastair Windus , Henrik Jeldtoft Jensen

A demographic Allee effect occurs when individual fitness, at low densities, increases with population density. Coupled with environmental fluctuations in demographic rates, Allee effects can have subtle effects on population persistence…

概率论 · 数学 2014-05-08 Gregory Roth , Sebastian Schreiber

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…

种群与进化 · 定量生物学 2017-02-20 Jason Bertram , Kevin Gomez , Joanna Masel

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…

种群与进化 · 定量生物学 2025-03-25 Carlos Granados , Leon A. Valencia

In a complex community, species continuously adapt to each other. On rare occasions, the adaptation of a species can lead to the extinction of others, and even its own. "Adaptive dynamics" is the standard mathematical framework to describe…

种群与进化 · 定量生物学 2021-07-13 Vu AT Nguyen , Dervis C Vural

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

'Evolutionary rescue' is the potential for evolution to enable population persistence in a changing environment. Even with eventual rescue, evolutionary time lags can cause the population size to temporarily fall below a threshold…

种群与进化 · 定量生物学 2019-03-07 Jaime Ashander , Lisa C. Thompson , James N. Sanchirico , Marissa L. Baskett

A simulation model of a population having internal (genetic) structure is presented. The population is subject to selection pressure coming from the environment which is the same in the whole system but changes in time. Reproduction has a…

适应与自组织系统 · 物理学 2012-08-31 Andrzej Pekalski , Marcel Ausloos

This study introduces an innovative framework for merging ecological and epidemiological modeling via the formulation of a sophisticated predator-prey model that addresses the intricacies of disease dynamics, the Allee effect, and defensive…

动力系统 · 数学 2025-05-06 Kwadwo Antwi-Fordjour , Zachary Overton , Dylan Lee

We study the non-equilibrium phase transition between survival and extinction of spatially extended biological populations using an agent-based model. We especially focus on the effects of global temporal fluctuations of the environmental…

统计力学 · 物理学 2017-07-04 Hatem Barghathi , Skye Tackkett , Thomas Vojta

Food-web perturbations stemming from climate change, overexploitation, invasive species, and habitat degradation often cause an initial loss of species that results in a cascade of secondary extinctions, posing considerable challenges to…

种群与进化 · 定量生物学 2011-03-10 Sagar Sahasrabudhe , Adilson E. Motter

We model a spatially detailed, two-sex population dynamics, to study the cost of ecological restoration. We assume that cost is proportional to the number of individuals introduced into a large habitat. We treat dispersal as homogeneous…

种群与进化 · 定量生物学 2014-03-20 F. Molnar , C. Caragine , T. Caraco , G. Korniss

We study simple stochastic scenarios, based on birth-and-death Markovian processes, that describe populations with Allee effect, to account for the role of demographic stochasticity. In the mean-field deterministic limit we recover…

Due to the conventional distinction between ecological (rapid) and evolutionary (slow)timescales, ecological and population models to date have typically ignored the effects of evolution. Yet the potential for rapid evolutionary change has…

种群与进化 · 定量生物学 2012-11-20 Laura E. Jones , Stephen P. Ellner

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

This paper deals with extinction of an isolated population caused by intrinsic noise. We model the population dynamics in a "refuge" as a Markov process which involves births and deaths on discrete lattice sites and random migrations…

统计力学 · 物理学 2015-05-19 Baruch Meerson , Pavel V. Sasorov

Environmental fluctuations can create population-depleted areas and even extinct areas for the population. This effect is more severe in the presence of the Allee effect (decreasing growth rate at low population densities). Dispersal inside…

种群与进化 · 定量生物学 2022-02-23 Rodrigo Crespo-Miguel , Javier Jarillo , Francisco J. Cao-García
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