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A classic measure of ecological stability describes the tendency of a community to return to equilibrium after small perturbation. While many advances show how the network structure of these communities severely constrains such tendencies,…

Populations and Evolution · Quantitative Biology 2015-06-09 Gang Yan , Neo D. Martinez , Yang-Yu Liu

Dense suspensions of self-propelled rod-like particles exhibit a fascinating variety of non-equilibrium phenomena. By means of computer simulations of a minimal model for rigid self-propelled colloidal rods with variable shape we explore…

Soft Condensed Matter · Physics 2015-06-04 H. H. Wensink , H. Löwen

We study sandpile models as closed systems, with conserved energy density $\zeta$ playing the role of an external parameter. The critical energy density, $\zeta_c$, marks a nonequilibrium phase transition between active and absorbing…

Statistical Mechanics · Physics 2016-08-31 Alessandro Vespignani , Ronald Dickman , Miguel A. Munoz , Stefano Zapperi

We study the formation of the dynamic adsorption layer when a bubble is released in a tank containing water with a tiny amount of surfactant. The influence of the sorption kinetic constants is examined by comparing the experiments with…

The eco-evolutionary dynamics of species are fundamentally linked to the energetic constraints of its constituent individuals. Of particular importance is the interplay between reproduction and the dynamics of starvation and recovery. To…

Populations and Evolution · Quantitative Biology 2017-11-13 Justin D. Yeakel , Christopher P. Kempes , Sidney Redner

We study a coupled dynamics of a network and a particle system. Particles of density $\rho$ diffuse freely along edges, each of which is rewired at a rate given by a decreasing function of particle flux. We find that the coupled dynamics…

Statistical Mechanics · Physics 2008-03-24 Sang-Woo Kim , Jae Dong Noh

We introduce two stochastic chemostat models consisting in a coupled population-nutrient process reflecting the interaction between the nutrient and the bacterias in the chemostat with finite volume. The nutrient concentration evolves…

Probability · Mathematics 2012-06-19 Pierre Collet , Servet Martinez , Sylvie Meleard , Jaime San Martin

We use food webs generated by a model to investigate the effects of deleting species on other species in the web and on the web as a whole. The model incorporates a realistic population dynamics, adaptive foragers and other features which…

Populations and Evolution · Quantitative Biology 2007-05-23 Christopher Quince , Paul Higgs , Alan McKane

We analyze plankton-nutrient food chain models composed of phytoplankton, herbivorous zooplankton and a limiting nutrient. These models have played a key role in understanding the dynamics of plankton in the oceanic layer. Given the strong…

Probability · Mathematics 2024-07-10 Alexandru Hening , Nguyen Trong Hieu , Dang Hai Nguyen , Nhu Ngoc Nguyen

Deriving emergent patterns from models of biological processes is a core concern of mathematical biology. In the context of partial differential equations (PDEs), these emergent patterns sometimes appear as local minimisers of a…

Analysis of PDEs · Mathematics 2022-10-05 Valeria Giunta , Thomas Hillen , Mark A. Lewis , Jonathan R. Potts

We study the nonequilibrium phase transitions from the absorbing phase to the active phase for the model of disease spreading (Susceptible-Infected-Refractory-Susceptible (SIRS)) on a regular one dimensional lattice. In this model,…

Statistical Mechanics · Physics 2023-08-15 M. Ali Saif

Co-limitation of marine phytoplankton growth by light and nutrient, both of which are essential for phytoplankton, leads to complex dynamic behavior and a wide array of coherent patterns. The building blocks of this array can be considered…

Pattern Formation and Solitons · Physics 2015-05-20 Antonios Zagaris , Arjen Doelman

The stability of ecosystems as well as the relation between topology and dynamics on multilayer networks are important questions that are usually discussed in separate communities. Here, we combine these two topics by investigating the…

Populations and Evolution · Quantitative Biology 2015-07-24 Jonas Richhardt , Sebastian Plitzko , Florian Schwarzmüller , Barbara Drossel

Metacommunity theory is considered a promising approach for explaining species diversity and food web complexity. Recently Pillai et al. proposed a simple modeling framework for the dynamics of food webs at the metacommunity level. Here, we…

Populations and Evolution · Quantitative Biology 2012-12-21 Gesa A. Böhme , Thilo Gross

A major goal of modern computational biology is to simulate the collective behaviour of large cell populations starting from the intricate web of molecular interactions occurring at the microscopic level. In this paper we describe a…

Biological Physics · Physics 2007-05-23 Roberto Chignola , Edoardo Milotti

A granular system confined in a quasi two-dimensional box that is vertically vibrated can transit to an absorbing state in which all particles bounce vertically in phase with the box, with no horizontal motion. In principle, this state can…

Statistical Mechanics · Physics 2015-06-18 Baptiste Néel , Ignacio Rondini , Alex Turzillo , Nicolás Mujica , Rodrigo Soto

An exactly solvable model for the rewiring dynamics of weighted, directed networks is introduced. Simulations indicate that the model exhibits two types of condensation: (i) a phase in which, for each node, a finite fraction of its total…

Statistical Mechanics · Physics 2009-11-11 A. G. Angel , T. Hanney , M. R. Evans

Recently we have introduced a simplified model of ecosystem assembly (Capitan et al., 2009) for which we are able to map out all assembly pathways generated by external invasions in an exact manner. In this paper we provide a deeper…

Populations and Evolution · Quantitative Biology 2015-02-18 Jose A. Capitan , Jose A. Cuesta

A lattice model for active matter is studied numerically, showing that it displays wettings transitions between three distinctive phases when in contact with an impenetrable wall. The particles in the model move persistently, tumbling with…

Soft Condensed Matter · Physics 2017-09-13 Néstor Sepúlveda , Rodrigo Soto

Food webs have been found to exhibit remarkable motif profiles, patterns in the relative prevalences of all possible three-species sub-graphs, and this has been related to ecosystem properties such as stability and robustness. Analysing 46…

Populations and Evolution · Quantitative Biology 2016-09-15 Janis Klaise , Samuel Johnson