Mathematical Modeling for Hospitalization due to Temperature Variations

Abstract

Sudden changes in temperature occur due to ecological disturbances which results into global warming, volcanic eruption, depletion of ozone layer etc. This has become a crucial environmental and social issue all over the world. Changes in temperature influences transmission pattern for several diseases which leads to increase in the death rate. This research focusses on hospitalization due to temperature variations. Here, class of exposed individuals are divided into two types: asymptomatic individuals who do not show any symptoms and symptomatic individuals which shows symptoms. The indoor or outdoor medications are the remedial steps to get cured. Severe dehydration, blood pressure fluctuations etc. need hospitalization. The rate at which the individual gets hospitalized is scrutinized using SEIRS - model. The system of non-linear ordinary differential equations is formulated for the given model and the reproduction number is then computed using next generation matrix method which connotes the recovery rate of an individual. Stability and numerical simulations are carried out.

Keywords

• Mathematical model
• Basic reproduction number
• Stability
• Simulation