Numerical Determination of Age-Dependent Coefficients in an Integro-Hyperbolic System of Honeybee Population Dynamics

We investigate the problem of recovering of a space-dependent reaction coefficient in a integro-hyperbolic system of equations. This is a model of honeybee population dynamics with unknown functions, susceptible population of hive bees \(H_{S}\) and foraging bees \(F_{S}\) and infected population \(H_{I}\) and \(F_{I}\) . In the present study we concentrate on the linearized infection model, proposed in [6]. The recovering model is solved at integral observation that can be considered as generalized point observations. A numerical approach based on the characteristics of the hyperbolic part of the integro-differential operator is developed. Computational examples are discussed.