MATHEMATICAL MODEL ON HUMAN POPULATION DYNAMICS USING DELAY DIFFERENTIAL EQUATION

MATHEMATICAL MODEL ON HUMAN POPULATION DYNAMICS USING DELAY DIFFERENTIAL EQUATION

ABSTRACT

Simple population growth models involving birth rate, death rate, migration, and carrying capacity of the environment were considered.  Furthermore,   the particular case where there is discrete delay according to the sex involved in the population growth were treated. The equilibrium and stability analysis of each of the cases were considered also. The stability analysis shows that the discrete delays in the population growth lead to instability in the growth.