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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…

Probability · Mathematics 2013-01-03 Nicolas Lanchier

Rapidly mutating pathogens may be able to persist in the population and reach an endemic equilibrium by escaping hosts' acquired immunity. For such diseases, multiple biological, environmental and population-level mechanisms determine the…

Physics and Society · Physics 2019-02-07 Alberto Aleta , Andreia N. S. Hisi , Sandro Meloni , Chiara Poletto , Vittoria Colizza , Yamir Moreno

The emerging collective motions of swarms of interacting agents are a subject of great interest in application areas ranging from biology to physics and robotics. In this paper, we conduct a careful analysis of the collective dynamics of a…

Adaptation and Self-Organizing Systems · Physics 2014-09-04 Klementyna Szwaykowska , Luis Mier-y-Teran Romero , Ira B. Schwartz

The structure of a bipartite interaction network can be described by providing a clustering for each of the two types of nodes. Such clusterings are outputted by fitting a Latent Block Model (LBM) on an observed network that comes from a…

Methodology · Statistics 2025-03-19 Emre Anakok , Pierre Barbillon , Colin Fontaine , Elisa Thebault

Patterned vegetation is a characteristic feature of many dryland ecosystems. While plant densities on the ecosystem-wide scale are typically low, a spatial self-organisation principle leads to the occurrence of alternating patches of high…

Populations and Evolution · Quantitative Biology 2020-05-05 Lukas Eigentler

Climate change is reshaping species interactions and movement across fragmented landscapes. Despite this, most mathematical models assume random diffusion, overlooking the influence of directed movement. Here, we develop a graph based…

Dynamical Systems · Mathematics 2026-04-08 Pranali Roy Chowdhury , Soumyendu Raha

Discrete time, spatially extended models play an important role in ecology, modelling population dynamics of species ranging from micro-organisms to birds. An important question is how 'bottom up', individual-based models can be…

Populations and Evolution · Quantitative Biology 2023-01-20 Linnéa Gyllingberg , David J. T. Sumpter , Åke Brännström

We explore the connection between migration patterns and emergent behaviors of evolving populations in spatially heterogeneous environments. Despite extensive studies in ecologically and medically important systems, a unifying framework…

Populations and Evolution · Quantitative Biology 2024-01-10 Casey O. Barkan , Shenshen Wang

The evolutionary and ecological processes behind the origin of species are among the most fundamental problems in biology. In fact, many theoretical hypothesis on different type of speciation have been proposed. In particular, models of…

Populations and Evolution · Quantitative Biology 2018-11-20 Niccolo Anceschi , Jorge Hidalgo , Tommaso Bellini , Amos Maritan , Samir Suweis

Over the last decade, significant progress has been made in understanding complex biological systems, however there have been few attempts at incorporating this knowledge into nature inspired optimization algorithms. In this paper, we…

Neural and Evolutionary Computing · Computer Science 2009-07-03 James M. Whitacre , Ruhul A. Sarker , Q. Tuan Pham

The rates at which individuals memorize and forget environmental information strongly influence their movement paths and long-term space use. To understand how these cognitive time scales shape population-level patterns, we propose and…

Analysis of PDEs · Mathematics 2026-02-19 Kyung-Han Choi , Thomas Hillen

We introduce an evolutionary metacommunity of multitrophic food webs on several habitats coupled by migration. In contrast to previous studies that focus either on evolutionary or on spatial aspects, we include both and investigate the…

Populations and Evolution · Quantitative Biology 2018-04-20 Korinna T. Allhoff , Eva Marie Weiel , Tobias Rogge , Barbara Drossel

Understanding the behaviors of ecological systems is challenging given their multi-faceted complexity. To proceed, theoretical models such as Lotka-Volterra dynamics with random interactions have been investigated by the dynamical…

Biological Physics · Physics 2024-11-13 Jong Il Park , Deok-Sun Lee , Sang Hoon Lee , Hye Jin Park

Several theoretical frameworks have been proposed to explain observed biodiversity patterns, ranging from the classical niche-based theories, mainly employing a continuous formalism, to neutral theories, based on statistical mechanics of…

Quantitative Methods · Quantitative Biology 2019-11-01 Xue Feng , Sara Bonetti , Amilcare Porporato

Synergistic and antagonistic interactions in multi-species populations - such as resource sharing and competition - result in remarkably diverse behaviors in populations of interacting cells, such as in soil or human microbiomes, or clonal…

Populations and Evolution · Quantitative Biology 2019-10-15 MattheW Badali , Anton Zilman

We introduce a minimal model of multilevel selection on structured populations, considering the interplay between game theory and population dynamics. Through a bottleneck process, finite groups are formed with cooperators and defectors…

Populations and Evolution · Quantitative Biology 2023-10-02 Jeferson J. Arenzon , Luca Peliti

It has been observed that mutualistic bipartite networks have a nested structure of interactions. In addition, the degree distributions associated with the two guilds involved in such networks (e.g. plants & pollinators or plants & seed…

Populations and Evolution · Quantitative Biology 2007-09-20 Diego Medan , Roberto P. J. Perazzo , Mariano Devoto , Enrique Burgos , Martin G. Zimmermann , Horacio Ceva , Ana M. Delbue

Geographic isolation is a central mechanism of speciation, but perfect isolation of populations is rare. Although speciation can be hindered if gene flow is large, intermediate levels of migration can enhance speciation by introducing…

We consider robustness and percolation properties of the networks of networks, in which random nodes in different individual networks (layers) can be interdependent. We explore the emergence of the giant mutually connected component,…

Disordered Systems and Neural Networks · Physics 2014-11-18 Ginestra Bianconi , Sergey N. Dorogovtsev

We introduce a meta-population version of models of asymmetric exclusion models, consisting of a spatial arrangement of patches. Patches are of a specific size, indicating the maximal number of particles they can hold. We use an expansion…

Statistical Mechanics · Physics 2012-04-20 Tobias Galla
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