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A simple cellular automata model for a two-group war over the same territory is presented. It is shown that a qualitative advantage is not enough for a minority to win. A spatial organization as well a definite degree of aggressiveness are…

Disordered Systems and Neural Networks · Physics 2016-08-31 Serge Galam , Bastien Chopard , Alexander Masselot , Michel Droz

This paper investigates the competition of two species in a heterogeneous environment subject to the effect of harvesting. The most realistic harvesting case is connected with the intrinsic growth rate, and the harvesting functions are…

Social discrimination seems to be a persistent phenomenon in many cultures. It is important to understand the mechanisms that lead people to judge others by the group to which they belong, rather than individual qualities. It was recently…

Adaptation and Self-Organizing Systems · Physics 2019-12-11 Gorm Gruner Jensen , Frederik Tischel , Stefan Bornholdt

In this article, we investigate a competitive reaction-diffusion system modelling the interaction between several species of mosquitoes. In particular, it has been observed that in tropical regions, Aedes aegypti mosquitoes are well…

Analysis of PDEs · Mathematics 2024-05-24 Ben Samia , Mohamed Lazhar Tayeb , Nicolas Vauchelet

Ecological trade-offs between species are often invoked to explain species coexistence in ecological communities. However, few mathematical models have been proposed for which coexistence conditions can be characterized explicitly in terms…

Populations and Evolution · Quantitative Biology 2013-05-21 Bart Haegeman , Tewfik Sari , Rampal S. Etienne

In this paper we consider the diffusive competition model with free boundary in the heterogeneous time-periodic environment, in which the variable intrinsic growth rates of invasive and native species may change signs and be "very negative"…

Analysis of PDEs · Mathematics 2015-04-28 Mingxin Wang

We have simulated the evolution of sexually reproducing populations composed of individuals represented by diploid genomes. A series of eight bits formed an allele occupying one of 128 loci of one haploid genome (chromosome). The…

Genomics · Quantitative Biology 2009-11-04 S. Cebrat , D. Stauffer , J. S. Sa Martins , S. Moss de Oliveira , P. M. C. de Oliveira

In this article, we investigate several structured deep learning models for crop type classification on multi-spectral time series. In particular, our aim is to assess the respective importance of spatial and temporal structures in such…

Image and Video Processing · Electrical Eng. & Systems 2019-10-23 Vivien Sainte Fare Garnot , Loic Landrieu , Sebastien Giordano , Nesrine Chehata

The self-protection of alliances against external invaders is a key concept behind the maintenance of biodiversity in the face of natural selection. But since these alliances, which can be formed by different numbers of competitors, can…

Populations and Evolution · Quantitative Biology 2022-12-07 Attila Szolnoki , Matjaz Perc

Recent experiments in adult mammalian tissues have found scaling relations of the voter model in the dynamics of the genetically labeled population of stem cells. Yet, the reason for this seemingly robust appearance of the voter model…

Statistical Mechanics · Physics 2019-03-08 Hiroki Yamaguchi , Kyogo Kawaguchi

In the present paper we study a lattice model of two species competing for the same resources. Monte Carlo simulations for d=1, 2, and 3 show that when resources are easily available both species coexist. However, when the supply of…

Populations and Evolution · Quantitative Biology 2011-03-09 Jacek Wendykier , Adam Lipowski , Antonio Luis Ferreira

We study the limit of many small mutations of a model of population dynamics. The population is structured by phonological traits and is spatially inhomogeneous. The various sub-populations compete for the same nutrient which diffuses…

Analysis of PDEs · Mathematics 2016-01-19 Pierre-Emmanuel Jabin , Raymond Strother Schram

We consider some distinguished classes of elements of a multiplicative lattice endowed with coarse lower topologies, and call them lower spaces. The primary objective of this paper is to study the topological properties of these lower…

Rings and Algebras · Mathematics 2024-07-08 Amartya Goswami

We consider a system of interacting Fisher-Wright diffusions with seed-bank. Individuals live in colonies and are subject to resampling and migration as long as they are active. Each colony has a structured seed-bank into which individuals…

Probability · Mathematics 2020-04-30 Andreas Greven , Frank den Hollander , Margriet Oomen

Gene drives have the potential to rapidly replace a harmful wild-type allele with a gene drive allele engineered to have desired functionalities. However, an accidental or premature release of a gene drive construct to the natural…

Populations and Evolution · Quantitative Biology 2017-08-23 Hidenori Tanaka , Howard A. Stone , David R. Nelson

Originating from the pioneering study of Alan Turing, the bifurcation analysis predicting spatial pattern formation from a spatially uniform state for diffusing morphogens or chemical species that interact through nonlinear reactions is a…

Pattern Formation and Solitons · Physics 2023-01-18 Merlin Pelz , Michael J. Ward

The problem of identifying regions of spatially interesting, different or adversarial behavior is inherent to many practical applications involving distributed multisensor systems. In this work, we develop a general framework stemming from…

Signal Processing · Electrical Eng. & Systems 2022-06-14 Martin Gölz , Abdelhak M. Zoubir , Visa Koivunen

We study a system of particles in two dimensions interacting via a dipolar long-range potential $D/r^3$ and subject to a square-lattice substrate potential $V({\bf r})$ with amplitude $V$ and lattice constant $b$. The isotropic interaction…

Statistical Mechanics · Physics 2016-08-24 Barbara Gränz , Sergey E. Koshunov , Vadim B. Geshkenbein , Gianni Blatter

Model averaging, as an appealing ensemble technique, strategically integrates all valuable information from candidate models to construct fast and accurate prediction. Despite of having been widely practiced in many fields such as…

Methodology · Statistics 2026-03-17 Zhuang Yong , Lv Jing , Tingting Li

A dynamic decision-making system that includes a mass of indistinguishable agents could manifest impressive heterogeneity. This kind of nonhomogeneity is postulated to result from macroscopic behavioral tactics employed by almost all…

Applications · Statistics 2009-01-28 Hsieh Fushing , Li Zhu , David I. Shapiro-Ilan , James F. Campbell , Edwin E. Lewis