Role of environmental factors on the spread of bacterial diseases: A modeling study

Abstract

In this paper, a nonlinear mathematical model is proposed and analyzed to study the role of cumulative environmental degradation on the spread of bacterial diseases. In the modeling process, it is assumed that the disease is not only transmitted directly from the infective population to susceptible population but also indirectly by the bacteria present in the conducive degraded environment. The cumulative density of the bacteria population is assumed to be governed by a generalized logistic model, and is also dependent on conducive environmental degradation. The cumulative density of environmental degradation is assumed to be dependent on human population-related factors. The analysis of the model is performed by using the stability theory of differential equations and numerical simulation. The model analysis reveals that the increased rate of conducive environmental degradation increases the density of bacteria population which leads to fast spread of the bacterial diseases.

Keywords

• mathematical modeling
• stability
• bacterial diseases
• environmental degradation
• simulation