The inverse problem of reconstructing the coefficient in the nonlinear equation of the model of the development of a homogeneous biological age-structured population is considered. The model takes into account the dependence of the parameters of the vital activity of individuals on the size of the population. The coefficients of the model are non-local and have an integral structure. Conditions are established to ensure the uniqueness of the solution of the inverse problem.
Keywords:
the inverse problem for the population model, age structuring, overpopulation, Volterra integral equation type II, the method of successive approximations, the method of compressive maps
