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This work is devoted to the study of a stochastic logistic growth model with and without the Allee effect. Such a model describes the evolution of a population under environmental stochastic fluctuations and is in the form of a stochastic…

种群与进化 · 定量生物学 2020-08-05 Almaz Tesfay , Daniel Tesfay , James Brannan , Jinqiao Duan

We study the combined impact of a colored environmental noise and demographic noise on the extinction risk of a long-lived and well-mixed isolated stochastic population which exhibits the Allee effect. The environmental noise modulates the…

种群与进化 · 定量生物学 2015-06-11 Eitan Y. Levine , Baruch Meerson

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…

A detailed examination of the effect of harvesting on a population has been carried out by extending the standard cubic deterministic model by considering a population under Allee effect with a quadratic function representing harvesting.…

种群与进化 · 定量生物学 2021-08-18 Özgür Gültekin , Çağatay Eskin , Esra Yazıcıoğlu

Environmental noise can cause an exponential reduction in the mean time to extinction (MTE) of an isolated population. We study this effect on an example of a stochastic birth-death process with rates modulated by a colored Gaussian noise.…

种群与进化 · 定量生物学 2015-05-13 Alex Kamenev , Baruch Meerson , Boris Shklovskii

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

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 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

In the May-Leonard model of three cyclically competing species, we analyze the statistics of rare events in which all three species go extinct due to strong but rare fluctuations. These fluctuations are from the tails of the probability…

生物物理 · 物理学 2022-06-09 Shannon R Serrao , Tim Ritmeester , Hildegard Meyer-Ortmanns

Methods for predicting the probability and timing of a species' extinction are typically based on a combination of theoretical models and empirical data, and focus on single species population dynamics. Of course, species also interact with…

种群与进化 · 定量生物学 2012-06-11 Gian Marco Palamara , Gustav W. Delius , Matthew J. Smith , Owen L. Petchey

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

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

This article presents identification results for the marginal treatment effect (MTE) when there is sample selection. We show that the MTE is partially identified for individuals who are always observed regardless of treatment, and derive…

计量经济学 · 经济学 2021-12-15 Otávio Bartalotti , Désiré Kédagni , Vitor Possebom

We analyse the effect of harvesting in a resource dependent age structured population model, deriving the conditions for the existence of a stable steady state as a function of fertility coefficients, harvesting mortality and carrying…

种群与进化 · 定量生物学 2007-05-23 Rui Dilao , Tiago Domingos , Elman M. Shahverdiev

We study the extinction risk of a fragmented population residing on a network of patches coupled by migration, where the local patch dynamics include the Allee effect. We show that mixing between patches dramatically influences the…

种群与进化 · 定量生物学 2020-02-05 Ohad Vilk , Michael Assaf

The extinction of a single species due to demographic stochasticity is analyzed. The discrete nature of the individual agents and the Poissonian noise related to the birth-death processes result in local extinction of a metastable…

种群与进化 · 定量生物学 2009-11-13 David A. Kessler , Nadav M. Shnerb

We present an explicit unified stochastic model of fluctuations in population size due to random birth, death, density-dependent competition and environmental fluctuations. Stochastic dynamics provide insight into small populations,…

种群与进化 · 定量生物学 2008-07-31 Alexei J. Drummond , Peter D. Drummond

We introduce a spatial stochastic process on the lattice Z^d to model mass extinctions. Each site of the lattice may host a flock of up to N individuals. Each individual may give birth to a new individual at the same site at rate \phi until…

概率论 · 数学 2007-05-23 Rinaldo B. Schinazi

This paper studies treatment effect models in which individuals are classified into unobserved groups based on heterogeneous treatment rules. Using a finite mixture approach, we propose a marginal treatment effect (MTE) framework in which…

计量经济学 · 经济学 2022-05-24 Tadao Hoshino , Takahide Yanagi

Average Treatment Effect (ATE) estimation is a well-studied problem in causal inference. However, it does not necessarily capture the heterogeneity in the data, and several approaches have been proposed to tackle the issue, including…

机器学习 · 计算机科学 2024-03-19 Raghavendra Addanki , Siddharth Bhandari
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