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| The PAT Model of Population Dynamics |
| Z. C. Feng,Y. Charles Li |
| (Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211, USA;Department of Mathematics, University of Missouri, Columbia, MO 65211,USA) |
| DOI： |
| Abstract: |
| 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. |
| Key words: Population dynamics, birth, mortality, carrying capacity, population-agetime model |