Modeling the Dynamics of Infectious Disease Under the Influence of Environmental Pollution

Abstract

Environmental pollution is one of the leading causes of mortality across the globe. There are evidences in literature which reflects the fact that regular exposure to environmental pollution leads to reduced immunity in human population. Therefore, we introduce environmental pollution as one of the concepts in understanding the dynamics of infectious disease. We propose a new SIS type epidemic model to study the impact of environmental pollution on the spread of infectious diseases. We divide the susceptible individuals into two compartments out of which one contains the pollution affected individuals. The present study demonstrates that we can not ignore environmental pollution during the study of a disease model. Till date, there are no studies which show the significance and impact of environmental pollution on the spread of infectious diseases. The expression of basic reproduction number is obtained for the proposed model. A detailed dynamical analysis of the model has been performed using the theory of ordinary differential equations, dynamical system and basic reproduction number. Numerical simulations along with sensitivity analysis are performed to support our analytical findings.