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The strong Allee effect plays an important role on the evolution of population in ecological systems. One important concept is the Allee threshold that determines the persistence or extinction of the population in a long time. In general, a…

Analysis of PDEs · Mathematics 2024-08-05 Fanze Kong , Juncheng Wei

Spatial patterning and synchronization are pervasive features of plankton communities, yet the mechanisms that allow such patterns to persist coherently under environmental noise remain unresolved. In vertically structured aquatic…

Pattern Formation and Solitons · Physics 2026-03-26 Ju Kang , Yiyuan Niu , Yuanzhi Li , Quan-Xing Liu , Chengjin Chu

Patterns in a semiarid ecosystem are important because they directly and indirectly affect ecological processes, biodiversity, and ecosystem resilience. Understanding the causes and effects of these patterns is critical for long-term land…

Populations and Evolution · Quantitative Biology 2023-12-05 Swadesh Pal , Malay Banerjee , Roderick Melnik

This study investigates the impacts of grazing duration and intensity on vegetation population dynamics in semi-arid ecosystems characterized by seasonal succession. A novel piecewise periodic model is proposed, dividing the annual cycle…

Dynamical Systems · Mathematics 2026-05-07 Junhong Gan , Guohong Zhang , Xiaoli Wang

Natural ecosystems are characterized by striking diversity of form and functions and yet exhibit deep symmetries emerging across scales of space, time and organizational complexity. Species-area relationships and species-abundance…

We develop a landscape-flux framework to investigate observed frequency distributions of vegetation and the stability of these ecological systems under fluctuations. The frequency distributions can characterize the population-potential…

Populations and Evolution · Quantitative Biology 2022-10-12 Li Xu , Denis Patterson , Ann Carla Staver , Simon Asher Levin , Jin Wang

When can complex ecological interactions drive an entire ecosystem into a persistent non-equilibrium state, where species abundances keep fluctuating without going to extinction? We show that high-diversity spatially-extended systems, in…

Populations and Evolution · Quantitative Biology 2019-08-27 Felix Roy , Matthieu Barbier , Giulio Biroli , Guy Bunin

We investigate how environmental flows influence spatial pattern formation and population dynamics using two nonlocal models of population dynamics, which we couple to two different stationary flows. Combining numerical simulations and…

Populations and Evolution · Quantitative Biology 2025-08-14 Nathan O. Silvano , João Valeriano , Emilio Hernández-García , Cristóbal López , Ricardo Martinez-Garcia

The management of common-pool resources is a complex challenge due to the risk of overexploitation and the tragedy of the commons. A novel framework has been introduced to address this issue, focusing on the coevolutionary relationship…

Theoretical Economics · Economics 2024-05-03 Chengyi Tu , Fabio Menegazzo , Paolo D'Odorico , Samir Suweis

We present a discrete-time model of a spatially structured population and explore the effects of coupling when the local dynamics contain a strong Allee effect and overcompensation. While an isolated population can exhibit only bistability…

Dynamical Systems · Mathematics 2020-04-24 Irina Vortkamp , Sebastian J. Schreiber , Alan Hastings , Frank M. Hilker

Nonlinear plant-scale interactions controlling the soil-water balance are generally not valid at larger spatial scales due to spatial heterogeneity in rainfall and vegetation type. The relationships between spatially averaged variables are…

We propose a general model to study the interplay between spatial dispersal and environment spatiotemporal fluctuations in metapopulation dynamics. An ecological landscape of favorable patches is generated like a L\'{e}vy dust, which allows…

Populations and Evolution · Quantitative Biology 2015-08-20 E. H. Colombo , C. Anteneodo

There is mounting empirical evidence that many communities of living organisms display key features which closely resemble those of physical systems at criticality. We here introduce a minimal model framework for the dynamics of a community…

Biological Physics · Physics 2020-02-17 Fabio Peruzzo , Mauro Mobilia , Sandro Azaele

The minimal ecological requirements for formation of regular vegetation patterns in semiarid systems have been recently questioned. Against the general belief that a combination of facilitative and competitive interactions is necessary,…

Populations and Evolution · Quantitative Biology 2014-09-24 Ricardo Martinez-Garcia , Justin M. Calabrese , E. Hernandez-Garcia , C. Lopez

Due to climatic changes, excessive grazing, and deforestation, semi-arid and arid ecosystems are vulnerable to desertification and land degradation. As aridity increases, vegetation cover often self-organizes into spatial patterns before…

Populations and Evolution · Quantitative Biology 2026-04-27 David Pinto-Ramos , Marcel Gabriel Clerc , Abdelkader Makhoute , Mustapha Tlidi

We propose a model equation for the dynamics of tree density in mesic savannas. It considers long-range competition among trees and the effect of fire acting as a local facilitation mechanism. Despite short-range facilitation is taken to…

Pattern Formation and Solitons · Physics 2014-07-24 Ricardo Martinez-Garcia , Justin M. Calabrese , Cristobal Lopez

Spatial distribution of the human population is distinctly heterogeneous, e.g. showing significant difference in the population density between urban and rural areas. In the historical perspective, i.e. on the timescale of centuries, the…

Adaptation and Self-Organizing Systems · Physics 2022-08-30 Anna Zincenko , Sergei Petrovskii , Vitaly Volpert

Metapopulation models have been instrumental in demonstrating the ecological impact of landscape structure on the survival of a focal species in complex environments. However, extensions to multiple species with arbitrary dispersal networks…

Populations and Evolution · Quantitative Biology 2024-11-06 Prajwal Padmanabha , Giorgio Nicoletti , Davide Bernardi , Samir Suweis , Sandro Azaele , Andrea Rinaldo , Amos Maritan

The formation of vegetation patterns in the arid and the semi-arid climatic zones is studied. Threshold for the biomass of the perennial flora is shown to be a relevant factor, leading to a frozen disordered patterns in the arid zone. In…

Soft Condensed Matter · Physics 2009-11-07 N. M. Shnerb , P. Sara , H. Lavee , S. Solomon

Over the last few decades, ecologists have come to appreciate that key ecological patterns, which describe ecological communities at relatively large spatial scales, are not only scale dependent, but also intimately intertwined. The…

Populations and Evolution · Quantitative Biology 2016-09-13 Fabio Peruzzo , Sandro Azaele