Stationary states of a population model accounting for individual mobility
摘要
A non-local boundary value problem is considered that describes the stationary states of population dynamics, taking into account the mobility of individuals. Conditions for the existence of a unique continuous stationary solution are obtained. Using the method of energy inequalities, an a priori estimate of the continuous dependence of the solution on the initial data is derived. The results obtained may be useful for predicting the dynamics of the age structure of a population.