Stability of a perturbed Leslie model.
A small perturbation introduced in the stochastic Leslie model leads to a long-lived stable population in a region or parameter space where the stochastic model predicts the demise of the population. This somewhat surprising result is understood by considering a related model with a density-dependent sex ratio which exhibits similar features.
Quinn
J P
JP
Department of Mathematics and Computing Sciences, St. Francis Xavier University, Antigonish, Nova Scotia, Canada.
Nash
R J
RJ
Georgallas
A
A
Jan
N
N
Hunter
D L
DL
D001723:Birth Rate; D005260:Female; D006801:Humans; D008297:Male; D015233:Models, Statistical; D009010:Monte Carlo Method; D009026:Mortality; D011156:Population Density; D011157:Population Dynamics; D015203:Reproducibility of Results; D012744:Sex Ratio; D013269:Stochastic Processes