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A stable population network is hard to interrupt without any ecological consequences. A communication blockage between patches may destabilize the populations in the ecological network. This work deals with the construction of a safe cut…

动力系统 · 数学 2018-04-25 Dinesh Kumar , Jatin Gupta , Soumyendu Raha

Dispersal is a key ecological process, that enables local populations to form spatially extended systems called metapopulations. In the present study, we investigate how dispersal affects the linear stability of a general single-species…

种群与进化 · 定量生物学 2016-01-11 Eric Tromeur , Lars Rudolf , Thilo Gross

On a global level, ecological communities are being perturbed at an unprecedented rate by human activities and environmental instabilities. Yet, we understand little about what factors facilitate or impede long-term persistence of these…

种群与进化 · 定量生物学 2024-10-24 Johannes Nauta , Manlio De Domenico

Dispersal networks critically shape the fate of ecological communities, yet the mechanisms linking connectivity and persistence remain poorly understood. We show that an interplay between asymmetric dispersal and asynchronous dynamics…

The presence of one or more species at some spatial locations but not others is a central matter in ecology. This phenomenon is related to ecological pattern formation. Nonlocal interactions can be considered as one of the mechanisms…

种群与进化 · 定量生物学 2017-12-29 Ozgur Aydogmus

We derive a simple sufficient condition for the local asymptotic stability of spatially discrete, continuous-time reaction-diffusion systems of networked dynamical systems at a homogeneous equilibrium point. The framework explicitly…

动力系统 · 数学 2026-05-07 Dinesh Kumar

Current questions in ecology revolve around instabilities in the dynamics on spatial networks and particularly the effect of node heterogeneity. We extend the Master Stability Function formalism to inhomogeneous biregular networks having…

种群与进化 · 定量生物学 2022-04-27 Alexander Krauß , Thilo Gross , Barbara Drossel

Spatial structure and species interactions jointly shape the dynamics and biodiversity of ecological systems, yet most theoretical models either neglect spatial heterogeneity or sacrifice analytical tractability. Here, we provide a unified…

A metapopulation structure in landscape ecology comprises a group of interacting spatially separated subpopulations or patches of the same species that may experience several local extinctions. This makes the investigation of survivability…

种群与进化 · 定量生物学 2017-12-22 Srilena Kundu , Soumen Majhi , Sourav Kumar Sasmal , Dibakar Ghosh , Biswambhar Rakshit

The role of dispersal on the stability and synchrony of a metacommunity is a topic of considerable interest in theoretical ecology. Dispersal is known to promote both synchrony, which enhances the likelihood of extinction, and spatial…

种群与进化 · 定量生物学 2022-04-06 Snehasish Roy Chowdhury , Ramesh Arumugam , Wei Zou , V. K. Chandrasekar , D. V. Senthilkumar

Source-sink systems are metapopulations of patches that can be of variable habitat quality. They can be seen as graphs, where vertices represent the patches, and the weighted oriented edges give the probability of dispersal from one patch…

概率论 · 数学 2011-11-11 Vincent Bansaye , Amaury Lambert

This article is concerned with a version of the contact process with sexual reproduction on a graph with two levels of interactions modeling metapopulations. The population is spatially distributed into patches and offspring are produced in…

概率论 · 数学 2015-04-08 Eric Foxall , Nicolas Lanchier

We explore Random Scale-Free networks of populations, modelled by chaotic Ricker maps, connected by transport that is triggered when population density in a patch is in excess of a critical threshold level. Our central result is that…

混沌动力学 · 物理学 2017-11-01 Chandrakala Meena , Pranay Deep Rungta , Sudeshna Sinha

Many populations of animals or plants, exhibit a metapopulation structure with close, spatially-separated subpopulations. The field of metapopulation theory has made significant advancements since the influential Levins model. Various…

种群与进化 · 定量生物学 2024-03-08 Marc Jorba-Cuscó , Ruth I. Oliva-Zúniga , Josep Sardanyés , Daniel Pérez-Palau

Understanding the influence of structure of dispersal network on the species persistence and modeling a much realistic species dispersal in nature are two central issues in spatial ecology. A realistic dispersal structure which favors the…

适应与自组织系统 · 物理学 2017-10-18 Anubhav Gupta , Tanmoy Banerjee , Partha Sharathi Dutta

In this paper, we focus on susceptible-infected-susceptible dynamics on metapopulation networks, where nodes represent subpopulations, and where agents diffuse and interact. Recent studies suggest that heterogeneous network structure…

物理与社会 · 物理学 2015-06-11 Taro Takaguchi , Renaud Lambiotte

We study a stochastic linear discrete metapolulation model to understand the effect of risk spreading by dispersion. We calculate analytically the stable distribution of populations that live in different habitats. The result shows that the…

种群与进化 · 定量生物学 2015-11-12 Satoru Morita , Jin Yoshimura

This article is concerned with a stochastic multi-patch model in which each local population is subject to a strong Allee effect. The model is obtained by using the framework of interacting particle systems to extend a stochastic two-patch…

概率论 · 数学 2013-01-03 Nicolas Lanchier

The metapopulation framework is adopted in a wide array of disciplines to describe systems of well separated yet connected subpopulations. The subgroups or patches are often represented as nodes in a network whose links represent the…

物理与社会 · 物理学 2013-03-27 Suyu Liu , Andrea Baronchelli , Nicola Perra

The enigmatic stability of population oscillations within ecological systems is analyzed. The underlying mechanism is presented in the framework of two interacting species free to migrate between two spatial patches. It is shown that that…

软凝聚态物质 · 物理学 2015-06-25 Refael Abta , Marcello Schiffer , Nadav M. Shnerb
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