Analysis of periodic growth-disturbance models

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Abstract

In this paper, I present and discuss a potentially useful modeling approach for investigating population dynamics in the presence of disturbance. Using the motivating example of wildfire, I construct and analyze a deterministic model of population dynamics with periodic disturbances independent of spatial effects. Plant population growth is coupled to fire disturbance to create a growth-disturbance model for a fluctuating population. Changes in the disturbance frequency are shown to generate a period-bubbling bifurcation structure and population dynamics that are most variable at intermediate disturbance frequencies. Similar dynamics are observed when the model is extended to include a seed bank. Some general conditions necessary for a rich bifurcation structure in growth-disturbance models are discussed.

Original languageEnglish (US)
Pages (from-to)151-161
Number of pages11
JournalTheoretical Population Biology
Volume66
Issue number2
DOIs
StatePublished - Sep 1 2004

All Science Journal Classification (ASJC) codes

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

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