[图书][B] Animal movement: statistical models for telemetry data

MB Hooten, DS Johnson, BT McClintock, JM Morales - 2017 - taylorfrancis.com
The study of animal movement has always been a key element in ecological science,
because it is inherently linked to critical processes that scale from individuals to populations …

Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review

R Eftimie - Journal of mathematical biology, 2012 - Springer
We briefly review hyperbolic and kinetic models for self-organized biological aggregations
and traffic-like movement. We begin with the simplest models described by an advection …

Biological modelling with nonlocal advection diffusion equations

KJ Painter, T Hillen, JR Potts - arXiv preprint arXiv:2307.14396, 2023 - arxiv.org
The employment of nonlocal PDE models to describe biological aggregation and other
phenomena has gained considerable traction in recent years. For cell populations, these …

Swarm intelligence

G Beni - Complex Social and Behavioral Systems: Game …, 2020 - Springer
SI can be seen also as part of the broader field of computational intelligence (CI)(Keller et al.
2016), which comprises computational methods for problems not solvable by the first …

Particle, kinetic, and hydrodynamic models of swarming

JA Carrillo, M Fornasier, G Toscani, F Vecil - Mathematical modeling of …, 2010 - Springer
We review the state-of-the-art in the modelling of the aggregation and collective behavior of
interacting agents of similar size and body type, typically called swarming. Starting with …

[图书][B] Spatiotemporal patterns in ecology and epidemiology: theory, models, and simulation

H Malchow, SV Petrovskii, E Venturino - 2007 - taylorfrancis.com
Although the spatial dimension of ecosystem dynamics is now widely recognized, the
specific mechanisms behind species patterning in space are still poorly understood and the …

The derivation of swarming models: mean-field limit and Wasserstein distances

JA Carrillo, YP Choi, M Hauray - … Dynamics from Bacteria to Crowds: An …, 2014 - Springer
These notes are devoted to a summary on the mean-field limit of large ensembles of
interacting particles with applications in swarming models. We first make a summary of the …

A well-posedness theory in measures for some kinetic models of collective motion

JA Canizo, JA Carrillo, J Rosado - Mathematical Models and …, 2011 - World Scientific
We present existence, uniqueness and continuous dependence results for some kinetic
equations motivated by models for the collective behavior of large groups of individuals …

Topological data analysis of biological aggregation models

CM Topaz, L Ziegelmeier, T Halverson - PloS one, 2015 - journals.plos.org
We apply tools from topological data analysis to two mathematical models inspired by
biological aggregations such as bird flocks, fish schools, and insect swarms. Our data …

Locust dynamics: behavioral phase change and swarming

CM Topaz, MR D'Orsogna, L Edelstein-Keshet… - 2012 - journals.plos.org
Locusts exhibit two interconvertible behavioral phases, solitarious and gregarious. While
solitarious individuals are repelled from other locusts, gregarious insects are attracted to …