Effects of immigration on the dynamics of simple population models

Lewi Stone, Deborah Hart

Research output: Contribution to journalArticlepeer-review


Many simple population models exhibit the period doubling route to chaos as a single parameter, commonly the growth rate, is increased. Here we examine the effect of an immigration process on such models and explain why in the case of one-dimensional ('single-humped') maps, immigration often tends to suppress chaos and stabilise equilibrium behaviour or cyclical oscillations of long period. The conditions for which an increase of immigration 'simplifies' population dynamics are examined.

Original languageEnglish
Pages (from-to)227-234
Number of pages8
JournalTheoretical Population Biology
Issue number3
StatePublished - Jun 1999


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