Reduction of structured population models to threshold-type delay equations and functional differential equations: a case study.
It is shown by way of a simple example that certain structured population models lead naturally to differential delay equations of the threshold type and that these equations can be transformed in a natural way to functional differential equations. The model examined can be viewed as a model of competition between adults and juveniles of a single population. The results indicate the possibility that this competition leads to instability.
Smith
H L
HL
Department of Mathematics, Arizona State University, Tempe 85287-1804.
D000367:Age Factors; D000818:Animals; D006801:Humans; D008962:Models, Theoretical; D011157:Population Dynamics