Models of plant quality and larch budmoth interaction

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 whe...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear analysis 2009-12, Vol.71 (12), p.e1904-e1908
Main Authors: Jang, Sophia R.-J., Yu, Jui-Ling
Format: Article
Language:English
Subjects:
Asymptotic properties
Hopf bifurcation
Larch budmoth population
Mathematical models
Moths
Nonlinearity
Period-doubling bifurcation
Stability
Steady state
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2009.02.091