Abstract

Global warming caused by the discharge of greenhouse gases has afflicted humankind in various forms. We have proposed a nonlinear model to analyze the impact of the rise in global average surface temperature on the spread of bacteria-dependent infectious diseases. The model is governed by five dependent variables, namely the density of susceptible population, density of infective population, infectious bacteria density, concentration of CO2 causing global warming, and global average surface temperature. In the modeling process, it is assumed that the rate of growth of infectious bacteria in the environment is proportional to the density of infectives as well as the global average surface temperature. The rise in global average surface temperature is considered to be proportional to the increased concentration of CO2. The model is studied using the stability analysis of differential equations, and various crucial parameters have been identified that are necessary to be controlled for the stability of the system. Numerical simulations complement the analytical findings. It is shown that with the increase in the concentration of carbon dioxide, the global average surface temperature increases, which enhances the spread of a bacteria dependent infectious disease.