TY - JOUR
T1 - Models of plant quality and larch budmoth interaction
AU - Jang, Sophia R.J.
AU - Yu, Jui Ling
N1 - Funding Information:
Jui-Ling Yu was supported by National Science Council under Grant Nos. P97-2914-I-126-008-A1 and Providence University under Grant Nos. 95-11100-C10 in Taiwan.
PY - 2009/12/15
Y1 - 2009/12/15
N2 - 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.
AB - 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.
KW - Hopf bifurcation
KW - Larch budmoth population
KW - Period-doubling bifurcation
UR - http://www.scopus.com/inward/record.url?scp=72149107554&partnerID=8YFLogxK
U2 - 10.1016/j.na.2009.02.091
DO - 10.1016/j.na.2009.02.091
M3 - Article
AN - SCOPUS:72149107554
SN - 0362-546X
VL - 71
SP - e1904-e1908
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 12
ER -