Document Type

Conference Proceeding

Publication Date



Understanding the patterns of population growth for human beings or other animals is important for effective society and resource management. We study several population growth models for a single species to exhibit how the secret of growth patterns can be unlocked from a mathematical perspective. The models are derived from differential equations involving rate of population change, birth/death rate, population carrying capacity, and delayed population influence on population growth. Solutions of the population as functions of time are obtained and plotted to show their visual effect. Equilibriums of the solutions are also analyzed to understand the long-term behavior of population growth. Stability analysis is provided to see the long-term impact of interruption from the equilibrium solutions. The models are employed to explain various interesting natural phenomena involving population growth.

Included in

Mathematics Commons