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We consider the problem of understanding the coordinated movements of biological or artificial swarms. In this regard, we propose a learning scheme to estimate the coordination laws of the interacting agents from observations of the swarm's…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Christos Mavridis , Amoolya Tirumalai , John Baras

The forces which drive growth, development, survival and change within an ecological system involving a predator and prey specie are not easily addressed in the field. To better understand the dynamics in the system, ecologists have turned…

General Mathematics · Mathematics 2025-10-14 Arhonefe Joseph Ogethakpo , Sunday Amaju Ojobor

This study introduces an innovative framework for merging ecological and epidemiological modeling via the formulation of a sophisticated predator-prey model that addresses the intricacies of disease dynamics, the Allee effect, and defensive…

Dynamical Systems · Mathematics 2025-05-06 Kwadwo Antwi-Fordjour , Zachary Overton , Dylan Lee

Model selection methods are used in different scientific contexts to represent a characteristic data set in terms of a reduced number of parameters. Apparently, these methods have not found their way into the literature on multibody systems…

Robotics · Computer Science 2017-05-30 Javier Ros , Xabier Iriarte , Aitor Plaza , Vicente Mata

A suite of statistical methods are used to study animal movement. Most of these methods treat animal telemetry data in one of three ways: as discrete processes, as continuous processes, or as point processes. We briefly review each of these…

Methodology · Statistics 2019-12-20 Mevin B. Hooten , Xinyi Lu , Martha J. Garlick , James A. Powell

A deterministic multiscale toy model is studied in which a chaotic fast subsystem triggers rare transitions between slow regimes, akin to weather or climate regimes. Using homogenization techniques, a reduced stochastic parametrization…

Data Analysis, Statistics and Probability · Physics 2012-04-11 Lewis Mitchell , Georg A. Gottwald

The population dynamics of predator-prey systems in the presence of patch-specific predators are explored in a setting where the prey population has access to both habitats. The emphasis is in situations where patch-prey abundance drives…

Dynamical Systems · Mathematics 2009-07-31 F. Berezovskaya , S. Wirkus , C. Castillo-Chavez

We consider several one-species population dynamics model with finite and infinite carrying capacity, time dependent growth and effort rates and solve them analytically. We show that defining suitable scaling functions for a given time, one…

Disordered Systems and Neural Networks · Physics 2011-11-14 Alexandre Souto Martinez , Brenno Caetano Trocca Cabella , Fabiano Ribeiro

This paper investigates the role of size in biological organisms. More specifically, how the energy demand, expressed by the metabolic rate, changes according to the mass of an organism. Empirical evidence suggests a power-law relation…

Other Quantitative Biology · Quantitative Biology 2021-05-05 Fabiano L. Ribeiro , William R. L. S. Pereira

The method of generalized modeling has been applied successfully in many different contexts, particularly in ecology and systems biology. It can be used to analyze the stability and bifurcations of steady-state solutions. Although many…

Dynamical Systems · Mathematics 2015-03-06 Christian Kuehn , Thilo Gross

We study the effect of speciation, i.e. the introduction of new species through evolution into communities, in the setting of predator-prey systems. Predator-prey dynamics is classically well modeled by Lotka-Volterra equations, also when…

Populations and Evolution · Quantitative Biology 2025-03-20 Christian Hamster , Jorik Schaap , Peter van Heijster , Joshua Dijksman

We consider a Rosenzweig-MacArthur predator-prey system which incorporates logistic growth of the prey in the absence of predators and a Holling type II functional response for interaction between predators and preys. We assume that…

Dynamical Systems · Mathematics 2017-02-16 Niklas L. P. Lundström , Gunnar Söderbacka

One of the most fundamental rules in metabolic ecology is the allometric equation, which is a power-law scaling that describes the connection between body measurements and body size. The biological dynamics of this essentially empirical…

Other Quantitative Biology · Quantitative Biology 2024-05-14 Jia-Xu Han , Zhuangdong Bai , Rui-Wu Wang

A new model ecosystem consisting of many interacting species is introduced. The species are connected through a random matrix with a given connectivity. It is shown that the system is organized close to a boundary of marginal stability in…

adap-org · Physics 2007-05-23 Ricard V. Sole , David Alonso , Alan McKane

We present numerical results based on a simplified ecological system in evolution, showing features of extinction similar to that claimed for the biosystem on Earth. In the model each species consists of a population in interaction with the…

adap-org · Physics 2009-10-28 Guillermo Abramson

The objective of statistical physics is to understand macroscopic behavior of a many-body system from the interactions of the constituents of that system. When many-body systems reach critical states, simple universal and scaling behaviors…

Physics and Society · Physics 2022-01-26 Chin-Kun Hu

Ecosystem approach to fisheries requires a thorough understanding of fishing impacts on ecosystem status and processes as well as predictive tools such as ecosystem models to provide useful information for management. The credibility of…

Quantitative Methods · Quantitative Biology 2024-04-30 Ricardo Oliveros-Ramos , Philippe Verley , Yunne-Jai Shin

Learning the parameters of a (potentially partially observable) random field model is intractable in general. Instead of focussing on a single optimal parameter value we propose to treat parameters as dynamical quantities. We introduce an…

Machine Learning · Computer Science 2012-05-14 Max Welling

Animal and robotic collective behaviours can exhibit complex dynamics that require multi-level descriptions. Here, we are interested in developing a multi-level modeling framework for the use of robots in studies about animal collective…

Adaptation and Self-Organizing Systems · Physics 2019-02-12 Leo Cazenille , Nicolas Bredeche , José Halloy

The study of interactions between multiple species in an ecosystem is an active and impactful direction of inquiry. This is true in particular for fragile systems in which even small perturbations of their functional parameters can produce…

Populations and Evolution · Quantitative Biology 2025-01-14 Anca Radulescu , Richard Halpern , Drew Kozlowski , Conor O'Riordan