A Robust Mathematical Model On Infectious Diseases

Abstract

The paper presents a robust epidemiological compartment model on infectious diseases. The model obviates the limitations of the classical epidemiological model by accommodating different levels of vulnerability and susceptibility to infections within different social class and spatial structures. Unlike the classical model which considers every member from different compartments to be geographically homogenous, implying the chances of infection by communicable diseases to be the same. This is unrealistic in real life situation. The Robust model in this paper is highly realistic and suitable in real life situation. This paper also analyses the actuarial implications of infectious disease plan and it is recommended that the annuity for hospital and lump sum for hospital plans would fairly reduce the cost that could cushion blow of any possible epidemic to our health care system.

Keywords : Epidemiological model, Annuity for hospitalization, infectious diseases and infectious viruscarrier.