The mathematical analysis of biological aggregation and dispersal: Progress, problems and perspectives

Hans G. Othmer, Chuan Xue

Research output: Chapter in Book/Report/Conference proceedingChapter

17 Scopus citations

Abstract

Motile organisms alter their movement in response to signals in their environment for a variety of reasons, such as to find food or mates or to escape danger. In populations of individuals this often this leads to large-scale pattern formation in the form of coherent movement or localized aggregates of individuals, and an important question is how the individual-level decisions are translated into population-level behavior. Mathematical models are frequently developed for a population-level description, and while these are often phenomenological, it is important to understand how individual-level properties can be correctly embedded in the population-level models. We discuss several classes of models that are used to describe individual movement and indicate how they can be translated into population-level models.

Original languageEnglish (US)
Title of host publicationDispersal, Individual Movement and Spatial Ecology
Subtitle of host publicationA Mathematical Perspective
PublisherSpringer Verlag
Pages79-127
Number of pages49
ISBN (Print)9783642354960
DOIs
StatePublished - 2013

Publication series

NameLecture Notes in Mathematics
Volume2071
ISSN (Print)0075-8434

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