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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 mathematical model of environments populated by both preys and predators, with the possibility for predators to actively compete for the territory. For this model we study existence and uniqueness of solutions, and their…

Analysis of PDEs · Mathematics 2022-12-06 Henri Berestycki , Alessandro Zilio

We explore the complex dynamical behavior of simple predator-prey models of biological coevolution that account for interspecific and intraspecific competition for resources, as well as adaptive foraging behavior. In long kinetic Monte…

Populations and Evolution · Quantitative Biology 2009-10-26 Per Arne Rikvold

Collective animal movements produce spectacular natural phenomena that arise from simple local interactions among group members. Flocks of homing pigeons, Columba livia, provide a useful model for the study of collective motion and decision…

Biological Physics · Physics 2016-10-26 Andrea Flack , Zsuzsa Ákos , Máté Nagy , Tamás Vicsek , Dora Biro

The evolution of cooperation often depends upon population structure, yet nearly all models of cooperation implicitly assume that this structure remains static. This is a simplifying assumption, because most organisms possess genetic traits…

Populations and Evolution · Quantitative Biology 2012-08-03 Simon T. Powers , Alexandra S. Penn , Richard A. Watson

Learning about many things can provide numerous benefits to a reinforcement learning system. For example, learning many auxiliary value functions, in addition to optimizing the environmental reward, appears to improve both exploration and…

Machine Learning · Computer Science 2020-08-25 Cam Linke , Nadia M. Ady , Martha White , Thomas Degris , Adam White

Collective phenomena, whereby agent-agent interactions determine spatial patterns, are ubiquitous in the animal kingdom. On the other hand, movement and space use are also greatly influenced by the interactions between animals and their…

Quantitative Methods · Quantitative Biology 2016-03-21 Jonathan R. Potts , Karl Mokross , Mark A. Lewis

Social insects are ecologically and evolutionarily most successful organisms on earth, which can achieve robust collective behaviors through local interactions among group members. Colony migration has been considered as a leading example…

Dynamical Systems · Mathematics 2022-06-15 Lisha Wang , Zhipeng Qiu , Takao Sasaki , Yun Kang

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

Although extensive behavioral changes often exist between closely related animal species, our understanding of the genetic basis underlying the evolution of behavior has remained limited. Here, we propose a new framework to study behavioral…

Populations and Evolution · Quantitative Biology 2020-07-21 Damián G. Hernández , Catalina Rivera , Jessica Cande , Baohua Zhou , David L. Stern , Gordon J. Berman

The problem of guiding a flock of agents to a destination by the repulsion forces exerted by a smaller number of external agents is called the shepherding problem. This problem has attracted attention due to its potential applications,…

Multiagent Systems · Computer Science 2022-10-21 Anna Fujioka , Masaki Ogura , Naoki Wakamiya

Interactions among individuals in natural populations often occur in a dynamically changing environment. Understanding the role of environmental variation in population dynamics has long been a central topic in theoretical ecology and…

Populations and Evolution · Quantitative Biology 2021-05-18 Feng Huang , Ming Cao , Long Wang

Flocks of birds, schools of fish, insects swarms are examples of coordinated motion of a group that arises spontaneously from the action of many individuals. Here, we study flocking behavior from the viewpoint of multi-agent reinforcement…

Physics and Society · Physics 2020-07-08 Mihir Durve , Fernando Peruani , Antonio Celani

A major problem in evolutionary biology is how species learn and adapt under the constraint of environmental conditions and competition of other species. Models of cyclic dominance provide simplified settings in which such questions can be…

Statistical Mechanics · Physics 2025-04-09 Honghao Yu , Robert L. Jack

Increasing pressures on the environment are generating an ever-increasing need to manage animal and plant populations sustainably, and to protect and rebuild endangered populations. Effective management requires reliable mathematical…

Methodology · Statistics 2009-09-29 Stephen T. Buckland , Ken B. Newman , Carmen Fernández , Len Thomas , John Harwood

In this paper, we investigate so-called forced wave solutions of a three components reaction-diffusion system from population dynamics. Our system involves three species that are respectively two competing preys and one predator; moreover,…

Analysis of PDEs · Mathematics 2022-12-12 Thomas Giletti , Jong-Shenq Guo

The internal behaviour of a population is an important feature to take account of when modelling their dynamics. In line with kin selection theory, many social species tend to cluster into distinct groups in order to enhance their overall…

Methodology · Statistics 2023-11-02 Blake McGrane-Corrigan , Oliver Mason , Rafael de Andrade Moral

The environment has a strong influence on a population's evolutionary dynamics. Driven by both intrinsic and external factors, the environment is subject to continual change in nature. To capture an ever-changing environment, we consider a…

Populations and Evolution · Quantitative Biology 2022-02-18 Qi Su , Alex McAvoy , Long Wang , Martin A. Nowak

Advances in field techniques have lead to an increase in spatially-referenced capture-recapture data to estimate a species' population size as well as other demographic parameters and patterns of space usage. Statistical models for these…

Applications · Statistics 2014-05-09 Brian J. Reich , Beth Gardner

We propose a simple adaptive-network model describing recent swarming experiments. Exploiting an analogy with human decision making, we capture the dynamics of the model by a low-dimensional system of equations permitting analytical…

Disordered Systems and Neural Networks · Physics 2011-07-15 Cristián Huepe , Gerd Zschaler , Anne-Ly Do , Thilo Gross
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