Inverse Problem for a Nonlinear Model of Population Dynamics with the Age Structure of Individuals and Overpopulation

The authors consider the inverse problem of restoring the coefficient in a nonlinear equation of a dynamic model of a homogeneous biological population of organisms structured according to age. The model allows for the dependence of parameters of the vital activity of individuals on the population size. Some coefficients of the model are nonlocal and have an integral structure. Conditions for the uniqueness of the solution of the inverse problem are established.