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We use dynamical generating functionals to study the stability and size of communities evolving in Lotka-Volterra systems with random interaction coefficients. The size of the eco-system is not set from the beginning. Instead, we start from…

种群与进化 · 定量生物学 2018-10-17 Tobias Galla

Eco-evolutionary frameworks can explain certain features of communities in which ecological and evolutionary processes occur over comparable timescales. Here, we investigate whether an evolutionary dynamics may interact with the spatial…

种群与进化 · 定量生物学 2019-12-04 Eduardo H. Colombo , Ricardo Martínez-García , Cristóbal , López , Emilio Hernández-García

We consider the properties of a slow-fast prey-predator system in time and space. We first argue that the simplicity of prey-predator system is apparent rather than real and there are still many of its hidden properties that have been…

动力系统 · 数学 2021-07-29 Pranali Roy Chowdhury , Sergei Petrovskii , Malay Banerjee

We present studies for an individual based model of three interacting populations whose individuals are mobile in a 2D-lattice. We focus on the pattern formation in the spatial distributions of the populations. Also relevant is the…

种群与进化 · 定量生物学 2007-12-18 I. C. Charret , M. V. Carneiro

We study a variant of the cyclic Lotka-Volterra model with three-agent interactions. Inspired by a multiplayer variation of the Rock-Paper-Scissors game, the model describes an ideal ecosystem in which cyclic competition among three species…

种群与进化 · 定量生物学 2020-10-09 Filippo Palombi , Stefano Ferriani , Simona Toti

This chapter provides a pedagogical introduction and overview of spatial and temporal correlation and fluctuation effects resulting from the fundamentally stochastic kinetics underlying chemical reactions and the dynamics of populations or…

统计力学 · 物理学 2019-11-22 Uwe C. Täuber

A five-species predator-prey model is studied on a square lattice where each species has two prey and two predators on the analogy to the Rock-Paper-Scissors-Lizard-Spock game. The evolution of the spatial distribution of species is…

种群与进化 · 定量生物学 2013-08-19 Jeromos Vukov , Attila Szolnoki , György Szabó

We investigate the Lotka-Volterra model for predator-prey competition with a finite carrying capacity that varies periodically in time, modeling seasonal variations in nutrients or food resources. In the absence of time variability, the…

斑图形成与孤子 · 物理学 2026-05-05 Mohamed Swailem , Alastair M. Rucklidge

This paper investigates the large time behaviour of a three species reaction-diffusion system, modelling the spatial invasion of two predators feeding on a single prey species. In addition to the competition for food, the two predators…

偏微分方程分析 · 数学 2020-07-07 Arnaud Ducrot , Thomas Giletti , Jong-Shenq Guo , Masahiko Shimojo

Multiple-scale mobility is ubiquitous in nature and has become instrumental for understanding and modeling animal foraging behavior. However, the impact of individual movements on the long-term stability of populations remains largely…

种群与进化 · 定量生物学 2018-04-04 Teodoro Dannemann , Denis Boyer , Octavio Miramontes

Using Monte Carlo simulations we study a lattice model of a prey-predator system. We show that in the three-dimensional model populations of preys and predators exhibit coherent periodic oscillations but such a behaviour is absent in…

统计力学 · 物理学 2009-10-31 Adam Lipowski

We consider a probabilistic cellular automaton to analyze the stochastic dynamics of a predator-prey system. The local rules are Markovian and are based in the Lotka-Volterra model. The individuals of each species reside on the sites of a…

种群与进化 · 定量生物学 2016-08-14 Kelly C. de Carvalho , Tânia Tomé

We explore how strategic leaps alter the classic rock-paper-scissors dynamics in spatially structured populations. In our model, individuals can expend energy reserves to jump toward regions with a high density of individuals of the species…

种群与进化 · 定量生物学 2025-06-23 J. Menezes , R. Barbalho , Y. Sun

We discuss the effects of movement and spatial heterogeneity on population dynamics via reaction-diffusion-advection models, focusing on the persistence, competition, and evolution of organisms in spatially heterogeneous environments.…

偏微分方程分析 · 数学 2020-07-08 King-Yeung Lam , Shuang Liu , Yuan Lou

Given an endogenous timescale set by invasion in a constant environment, we introduced periodic temporal variation in competitive superiority by alternating the species' propagation rates. By manipulating habitat size and introduction rate,…

种群与进化 · 定量生物学 2011-05-10 Lauren O'Malley , G. Korniss , Sai Satya Praveen Mungara , Thomas Caraco

In this paper, we study a three-patch two-species Lotka-Volterra competition patch model over a stream network. The individuals are subject to both random and directed movements, and the two species are assumed to be identical except for…

种群与进化 · 定量生物学 2023-06-07 Shanshan Chen , Jie Liu , Yixiang Wu

We analyze a probabilistic cellular automaton describing the dynamics of coexistence of a predator-prey system. The individuals of each species are localized over the sites of a lattice and the local stochastic updating rules are inspired…

统计力学 · 物理学 2016-08-14 Tânia Tomé , Kelly C de Carvalho

We study the spreading of families in two-dimensional multispecies predator-prey systems, in which species cyclically dominate each other. In each time step randomly chosen individuals invade one of the nearest sites of the square lattice…

种群与进化 · 定量生物学 2009-11-10 Maria Ravasz , Gyorgy Szabo , Attila Szolnoki

There are many positive and negative factors present in the predator-prey interaction which affect the net growth of the species. Fear of predation is one such factor that creates psychological stress in a prey species, which causes a…

种群与进化 · 定量生物学 2025-03-25 Sangeeta Saha , Swadesh Pal , Roderick Melnik

The result of 2-dimensional Gaussian lattice fit to a speckle intensity pattern based on a linear model that includes nearest-neighbor interactions is presented. We also include a Monte Carlo simulation of the same spatial speckle pattern…

光学 · 物理学 2012-11-13 John R. Smith , J. J. Llovera-Gonzalez , Stephen P. Smith