TY - JOUR
T1 - The PAT Model of Population Dynamics
AU - Feng , Z. C.
AU - Li , Y. Charles
JO - Annals of Applied Mathematics
VL - 2
SP - 223
EP - 239
PY - 2022
DA - 2022/04
SN - 38
DO - http://doi.org/10.4208/aam.OA-2022-0003
UR - https://global-sci.org/intro/article_detail/aam/20455.html
KW - Population dynamics, birth, mortality, carrying capacity, population-age-time model.
AB - <p style="text-align: justify;">We introduce a population-age-time (PAT) model which describes
the temporal evolution of the population distribution in age. The surprising
result is that the qualitative nature of the population distribution dynamics
is robust with respect to the birth rate and death rate distributions in age,
and initial conditions. When the number of children born per woman is 2,
the population distribution approaches an asymptotically steady state of a kink
shape; thus the total population approaches a constant. When the number
of children born per woman is greater than 2, the total population increases
without bound; and when the number of children born per woman is less than
2, the total population decreases to zero.</p>