Period-doubling and Neimark–Sacker bifurcations in a larch budmoth population model

T. Mihiri M. De Silva, Sophia R.J. Jang

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We investigate a discrete consumer-resource system based on a model originally proposed for studying the cyclic dynamics of the larch budmoth population in the Swiss Alps. It is shown that the moth population can persist indefinitely for all of the biologically feasible parameter values. Using intrinsic growth rate of the consumer population as a bifurcation parameter, we prove that the system can either undergo a period-doubling or a Neimark–Sacker bifurcation when the unique interior steady state loses its stability.

Original languageEnglish
Pages (from-to)1619-1639
Number of pages21
JournalJournal of Difference Equations and Applications
Issue number10
StatePublished - Oct 3 2017


  • Neimark–Sacker bifurcation
  • Uniform persistence
  • center manifold
  • period-doubling bifurcation


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