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Animal groups collaborate with one another throughout their lives to better comprehend their surroundings. Here, we try to model, using continuous random walks, how the entire process of birth, reproduction, and death might impact the…

Adaptation and Self-Organizing Systems · Physics 2022-11-07 Sanchayan Bhowal , Ramkrishna Jyoti Samanta , Arnob Ray , Sirshendu Bhattacharyya , Chittaranjan Hens

Animal grouping behaviors have been widely studied due to their implications for understanding social intelligence, collective cognition, and potential applications in engineering, artificial intelligence, and robotics. An important…

Populations and Evolution · Quantitative Biology 2015-11-25 Randal S. Olson , David B. Knoester , Christoph Adami

We study a set of six-species ecological models where each species has two predators and two preys. On a square lattice the time evolution is governed by iterated invasions between the neighboring predator-prey pairs chosen at random and by…

Populations and Evolution · Quantitative Biology 2009-11-10 Gyorgy Szabo

Formation and competition of associations are studied in a six-species ecological model where each species has two predators and two prey. Each site of a square lattice is occupied by an individual belonging to one of the six species. The…

Populations and Evolution · Quantitative Biology 2008-08-26 G. Szabo , A. Szolnoki , I. Borsos

We study a spatial predator-prey model in which prey can enter a protection zone (refuge) inaccessible to predators, while predators exhibit directed movement toward prey-rich regions. The directed movement is modeled by a far-sighted…

Analysis of PDEs · Mathematics 2026-01-23 Kousuke Kuto , Kazuhiro Oeda

Two density-dependent branching processes are considered to model predator-prey populations. For both models, preys are considered to be the main food supply of predators. Moreover, in each generation the number of individuals of each…

Probability · Mathematics 2024-07-01 Cristina Gutiérrez , Carmen Minuesa

This study presents a mathematical model that describes the relationship between the Puma concolor and its prey using delay differential equations, a Holling type III functional response, logistic growth for the prey, and a Ricker-type…

Dynamical Systems · Mathematics 2024-08-20 Wilson Mejías , Daniel Sepúlveda

Background: Speciation corresponds to the progressive establishment of reproductive barriers between groups of individuals derived from an ancestral stock. Since Darwin did not believe that reproductive barriers could be selected for, he…

Populations and Evolution · Quantitative Biology 2011-12-12 Etienne Joly

Noise and spatial degrees of freedom characterize most ecosystems. Some aspects of their influence on the coevolution of populations with cyclic interspecies competition have been demonstrated in recent experiments [e.g. B. Kerr et al.,…

Populations and Evolution · Quantitative Biology 2007-12-08 Tobias Reichenbach , Mauro Mobilia , Erwin Frey

When animal groups move coherently in the form of a flock, their trajectories are not all parallel, the individuals exchange their position in the group. In this Letter we introduce a measure of this mixing dynamics, which we quantify as…

Statistical Mechanics · Physics 2015-06-29 Jean-Baptiste Caussin , Denis Bartolo

We present an agent-based model inspired by the Evolutionary Minority Game (EMG), albeit strongly adapted to the case of competition for limited resources in ecology. The agents in this game become able, after some time, to predict the a…

Populations and Evolution · Quantitative Biology 2008-04-23 Daniel Campos , Josep E. Llebot , Vicenç Méndez

Honest signals and cues have been observed as part of interspecific and intraspecific communication among animals. Recent theories suggest that existing signaling systems have evolved through natural selection imposed by predators. Honest…

Populations and Evolution · Quantitative Biology 2020-03-02 Ahd Mahmoud Al-Salman , Joseph Páez Chávez , Karunia Putra Wijaya

Understanding predator-prey relationships among insects is a challenging task in the domain of insect-colony research. This is due to several factors involved, such as determining whether a particular behavior is the result of a…

Artificial Intelligence · Computer Science 2009-12-15 Karthik Narayanaswami

Fear is a critical brain function that enables us to learn to avoid danger via reinforcement learning (RL). While many researchers have argued that fear has evolved to escape predators, how varying predatory pressures have shaped fear and…

Populations and Evolution · Quantitative Biology 2026-02-10 Yuji Kanagawa , Kenji Doya

Ecological models traditionally explain stability and coexistence through pairwise interactions among species. These interactions can also involve groups of three or more species, higher-order interactions, which recent theory suggests can…

Populations and Evolution · Quantitative Biology 2025-10-07 Marc Duran-Sala , Sandro Meloni , Violeta Calleja-Solanas

Environmental variations can significantly influence how populations compete for resources, and hence shape their evolution. Here, we study population dynamics subject to a fluctuating environment modeled by a varying carrying capacity…

Populations and Evolution · Quantitative Biology 2023-04-14 Ami Taitelbaum , Robert West , Mauro Mobilia , Michael Assaf

Environment plays a fundamental role in the competition for resources, and hence in the evolution of populations. Here, we study a well-mixed, finite population consisting of two strains competing for the limited resources provided by an…

Populations and Evolution · Quantitative Biology 2017-10-16 Karl Wienand , Erwin Frey , Mauro Mobilia

Environmental changes greatly influence the evolution of populations. Here, we study the dynamics of a population of two strains, one growing slightly faster than the other, competing for resources in a time-varying binary environment…

Populations and Evolution · Quantitative Biology 2020-07-28 Ami Taitelbaum , Robert West , Michael Assaf , Mauro Mobilia

Following the well-extablished mathematical approach to persistence and its recent developments we give a rigorous theoretical explanation to the numerical results obtained for a certain prey-predator model with functional response of…

Dynamical Systems · Mathematics 2019-01-23 Tobia Dondè

The transient behavior of an ecosystem with N random interacting species in the presence of a multiplicative noise is analyzed. The multiplicative noise mimics the interaction with the environment. We investigate different asymptotic…

Statistical Mechanics · Physics 2009-11-10 B. Spagnolo , D. Valenti , A. Fiasconaro