Optimal Control of an Improved SIR Model Based on Cholera Spreading

Based on the classic SIR model, this paper proposes a new rum or spreading model which considers the transition probability of nodes from to as a variable instead of a constant. The transition probability is related with. Then, this paper introduces a controllable variable which denotes the rate of people who are converted from susceptible ones to immune ones. This controllable variable represents the precaution to the susceptible nodes before rum or spreading. By choosing appropriate value of the controllable variable, this method can minimize the people who spread rumors and maximize the people who are immune to rumors. This way can control rum or spreading better, and lower the resource cost.