Special Session 64: 

An age-structured population model with state-dependent time delay

Felicia Magpantay
Queen's University
Canada
Co-Author(s):    N. Kosovalic, J. Wu
Abstract:
We present an age-structured population model that accounts for the following aspects of complex life cycles: (i) There are juvenile and adult stages, (ii) only the adult stage is capable of reproducing, (iii) cohorts of juveniles can transition to the adult stage when they have consumed enough nutrition and (iv) the juvenile and adult populations consume different limited food sources. Taking all of these into account leads to a new mathematical model that cannot be directly analyzed using the established framework of functional differential equations or simulated by standard numerical schemes for age-structured populations. Here we present the model derivation, properties and a scheme to numerically integrate the equations.