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.
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|State||Published - Dec 15 2009|
- Hopf bifurcation
- Larch budmoth population
- Period-doubling bifurcation