In the present work, we analyze a model of infection in honeybee colonies when bee members distribute food through mouth to mouth. First, the model describes the social segregation of worker bees. Second, the model includes a hygienic response, by which healthy nurse bees exterminate infected bees to mitigate horizontal transmission to other bees members. The full model consists of two parts: core and extended ones. The core model is a system of autonomous ODEs (ordinary differential equations) that describes the interactions of brood and nurses B, iB, N and iN. The second one governs the dynamics of receivers ( \(R_0\) and \(iR_0\) ) or loaded with nectar bees ( \(R_1\) and \(iR_1\) ) with nectar bees and similarly, the foragers ( \(F_0\) and \(iF_0\) for unloaded and \(F_1\) and \(iF_1\) for loaded), and includes N and iN. Our theoretical analysis provides existence and uniqueness results of the solutions, which corresponds to the biological essence of the extended model. Numerical simulations are also discussed.