Applications of integrals and extreme value of solution of uncertain age-dependent population equation with migration source
摘要
Uncertain age-dependent population equation with migration source is a kind of partial differential equation depicting population density changes with time and age, while the strength of migration source is affected by the interference of noise. This paper employs uncertain age-dependent population equation with migration source in some practical problems, including average population density, maximum population density and minimum population density. By using real population data in China as an empirical example, this paper applies the parameter estimation called the method of moments and uncertain hypothesis test to illustrate the fitness of the estimated parameters. In addition, average population density, maximum population density and minimum population density are recast with these actual data of China. As a byproduct, this paper also indicates that stochastic age-dependent population equation with migration source cannot model China’s population density by analyzing the characteristics of the corresponding residuals.