A method for numerical simulation with a mathematical model of population dynamics

摘要

We propose a mathematical model including representation of migration and marriage for population dynamics. It is a particular characteristic of this mathematical model to describe the distribution of single male individuals, female individuals and married couples using convective reaction-diffusion equations. Furthermore, we introduce a marriage function in the model. And we also propose a method for the numerical simulation based on the model to predict population in future, and show an example of numerical simulation.