Small population effects in stochastic population dynamics

Jerome K. Percus

Research output: Contribution to journalArticlepeer-review


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
Issue number6
StatePublished - Nov 2005

ASJC Scopus subject areas

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


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