TY - JOUR
AU - Gabriel Martinez
AU - Freddy Nungaray
AU - Laura Smith Chowdhury
PY - 2020/07/26
Y2 - 2021/03/02
TI - Incorporating Migration Into an Age-Structured Population Model With Variable Mortality Rate
JF - The PUMP Journal of Undergraduate Research
JA - PUMP J. Undergrad. Res.
VL - 3
IS - 0
SE - Articles
DO -
UR - https://journals.calstate.edu/pump/article/view/499
AB - We modify the McKendrick-von Foerster population model, an age-structured population model, by including a net migration term to model population dynamics when net migration is a significant contributor to population size. Net migration is treated as a continuous function of age and time. We consider the model's mortality rate as both a constant and as a function of age. By allowing the mortality rate to be a function of age, the model better captures more realistic death rates. We then apply this model to the United States population. When the mortality rate is considered as a constant, the model has 3.95% relative error. When the mortality rate is considered as a function of age, it yields a better approximation with a 2.33% relative error. This more accurate model of population dynamics can provide a framework for studying the effect of policy changes and major events on populations and sub-populations.
ER -