Small population effects in stochastic population dynamics

Jerome K. Percus

Research output: Contribution to journalArticlepeer-review

Abstract

The discreteness of units of small populations can produce large fluctuations from a classical continuous representation, especially when null populations play a crucial role. These belong to what are here referred to as emergent and evanescent species. A few model biological systems are introduced in which this is the case, as well as a toy model that suggests a path to avoid the associated mathematical complexities. The corresponding division into null and non-null population sectors is carried out to leading order for the model systems, with promising results.

Original languageEnglish (US)
Pages (from-to)1173-1194
Number of pages22
JournalBulletin of Mathematical Biology
Volume67
Issue number6
DOIs
StatePublished - Nov 2005

ASJC Scopus subject areas

  • Neuroscience(all)
  • Immunology
  • Mathematics(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)
  • Pharmacology
  • Agricultural and Biological Sciences(all)
  • Computational Theory and Mathematics

Fingerprint Dive into the research topics of 'Small population effects in stochastic population dynamics'. Together they form a unique fingerprint.

Cite this