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The Allee effect is an important phenomenon in population biology characterized by positive density dependence, that is a positive correlation between population density and individual fitness. However, the effect is not well studied in…

偏微分方程分析 · 数学 2015-10-20 Rana D. Parshad , Emmanuel Quansah , Kelly Black , Nitu Kumari , Ranjit K. Upadhyay , S. K. Tiwari

We analyze the long term behavior of interacting populations which can be controlled through harvesting. The dynamics is assumed to be discrete in time and stochastic due to the effect of environmental fluctuations. We present extinction…

种群与进化 · 定量生物学 2021-02-18 Alexandru Hening

Population ecology theory is replete with density dependent processes. However trait-mediated or behavioral indirect interactions can both reinforce or oppose density-dependent effects. This paper presents the first two species competitive…

种群与进化 · 定量生物学 2023-03-10 Shangming Chen , Fengde Chen , Vaibhava Srivastava , Rana D. Parshad

A predator-prey model with functional response Holling type II, Allee effect in the prey and a generalist predator is considered. It is shown that the model with strong Allee effect has at most two positive equilibrium point in the first…

动力系统 · 数学 2020-09-10 Claudio Arancibia-Ibarra , Jos/'e Flores

We propose and study {a generalized Beverton-Holt competition model} subject to Allee effects to obtain insights on how the interplay of Allee effects and contest competition affects the persistence and the extinction of two competing…

动力系统 · 数学 2015-05-25 Yun Kang

Diffusion-driven instability and bifurcation analysis are studied in a predator-prey model with herd behavior and quadratic mortality by incorporating multiple Allee effect into prey species. The existence and stability of the equilibria of…

动力系统 · 数学 2023-08-17 Jianglong Xiao , Yonghui Xia

We study a discrete host-parasitoid system where the host population follows the classical Ricker functional form and is also subject to Allee effects. We determine basins of attraction of the local attractors of the single population model…

动力系统 · 数学 2014-04-23 Yunshyong Chow , Sophia R. -J. Jang

An ecological system with multiple stable equilibria is prone to undergo catastrophic change or regime shift from one steady-state to another. It should be noted that, if one of the steady states is an extinction state, the catastrophic…

种群与进化 · 定量生物学 2021-08-18 Anurag Sau , Sabyasachi Bhattacharya , Bapi Saha

A generalized seasonally-varying predator-prey model with Allee effect in the prey growth is investigated. The analysis is performed only on the basis of some properties determining the shape of the prey growth rate and the trophic…

动力系统 · 数学 2019-09-06 Carlota Rebelo , Cinzia Soresina

In stochastic population dynamics, stochastic wandering can produce transition to an absorbing state. In particular, under Allee effects, low densities amplify the possibility of population collapse. We investigate this in an…

种群与进化 · 定量生物学 2026-01-13 Luis F. Gordillo , Priscilla E. Greenwood

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 model sex-structured population dynamics to analyze pairwise competition between groups differing both genetically and culturally. A sex-ratio allele is expressed in the heterogametic sex only, so that assumptions of Fisher's analysis do…

种群与进化 · 定量生物学 2012-09-10 F. Molnar , T. Caraco , G. Korniss

Endangered populations often experience limited growth ability at low densities, a phenomenon described by the Allee effect. In this thesis, we investigate a predator-prey model incorporating the Allee effect within a two-dimensional…

种群与进化 · 定量生物学 2025-12-15 Junhui Hu

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

We investigate the impact of Allee effect and dispersal on the long-term evolution of a population in a patchy environment, focusing on whether a population already established in one patch either successfully invades an adjacent empty…

经典分析与常微分方程 · 数学 2010-03-02 Yun Kang , Nicolas Lanchier

Traditional population models that include predator-prey interactions attribute demographic changes directly to predation-related effects. However, predator-induced fear in prey has increasingly been recognised as an important factor…

种群与进化 · 定量生物学 2026-05-12 Özgür Gültekin , Mirza Muradli

In this study, we investigate the dynamics of a spatial and non spatial prey-predator interaction model that includes the following: (i) fear effect incorporated in prey birth rate; (ii) group defence of prey against predators; and (iii)…

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…

动力系统 · 数学 2009-07-31 F. Berezovskaya , S. Wirkus , C. Castillo-Chavez

We propose a reaction--diffusion model of predator--prey interaction in which the predators occupy only a subset of the prey's territory, leaving a predator-free exclusion zone. Ecological examples include marine protected areas where it is…

偏微分方程分析 · 数学 2026-04-10 Henri Berestycki , William F. Fagan , Alex Safsten

Mutual interference and prey refuge are important drivers of predator-prey dynamics. The "exponent" or degree of mutual interference has been under much debate in theoretical ecology. In the present work, we investigate the interplay of the…

动力系统 · 数学 2021-09-13 Kwadwo Antwi-Fordjour , Rana D. Parshad , Matthew A. Beauregard