Models of plant quality and larch budmoth interaction

Sophia R.J. Jang, Jui Ling Yu

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We present and investigate two discrete-time models of leaf quality and larch budmoth interaction. In particular, existence and stability of equilibria are studied. For one model, the moth population may grow unboundedly large and the interior steady state is always locally asymptotically stable when it exists. A Hopf bifurcation may occur for the other model when the interior steady state becomes unstable.

Original languageEnglish
Pages (from-to)e1904-e1908
JournalNonlinear Analysis, Theory, Methods and Applications
Volume71
Issue number12
DOIs
StatePublished - Dec 15 2009

Keywords

  • Hopf bifurcation
  • Larch budmoth population
  • Period-doubling bifurcation

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