MATHEMATICAL MODEL FOR THE SPREAD OF CONTAGIOUS DISEASES

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ABSTRACT

Mathematical Modelling can be used to understand the dynamics of contagious diseases. In this study, we develop a mathematical model to understand the spread of contagious diseases e.g Cholera using the SIR model. The SIR model is a widely accepted mathematical framework used to study infectious diseases. We assume that the population is divided into three compartments: susceptible, infected, and recovered. We do not consider environmental, climate, or vaccination factors in our model. We use differential equations to describe the dynamics of the model and solve them numerically. Our results show that the spread of contagious diseases like Cholera can be controlled by reducing the transmission rate and increasing the recovery rate. We also show that the disease can be eradicated if the infection rate is reduced below a certain threshold value. Our model provides insights into the dynamics of cholera and can be used to develop effective control strategies to prevent and manage outbreaks.

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