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Abstract

In this present study, an SIS model is proposed and analyzed to study the effect of sanitation effort in controlling the spread of carrier-dependent infectious disease in a human habitat due to environmental degradation. The dynamics of the model consist of six dependent variables, the susceptible population density, infective population density, carrier population density, cumulative density of environmental degradation and the density of sanitation effort applied on carrier population and degraded environment. In the modeling process, the carrier population density and sanitation effort are modeled logistically and the degradation of the environment is assumed to be directly proportional to the population in the habitat. The analysis of the model is performed by using the stability theory of differential equations and numerical simulations. The study of model shows that as the degradation of environment increases, the density of the carrier population increases which ultimately increases the infective population. Further, the result shows that by applying suitable sanitation effort on the carrier population density and on the cumulative density of environmental degradation, the carrier population density decreases and hence the infective population. Thus, it is very important to keep our environment clean by applying proper sanitation to prevent the spread of carrier-dependent infectious diseases.

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