A mathematical model with the generalized mckendrick–von foerster equation

In this paper, we propose a generalization of the mathematical model of a biological process that characterizes the dynamics of the population size, taking into account the change in age x for a fixed time t and changes in the number of individuals in different periods of time for a fixed x. A nonlocal boundary value problem with an integral condition is considered. The theorem of existence and uniqueness of the problem is proved.