Abstract
In this study, we presented a modified SIR-SI model to investigate the dynamics and potential controls for cholera
transmission, with an incident rate equipped with a saturation factor to investigate the combined impact of three vital
measures which include effective surveillance, vaccination campaign and proper treatment in case severity. We established
among other things, the qualitative analysis of the model to validate the results. Furthermore, the reproduction
number (R0) was found to be less than unity (1), through the stability analysis. Additionally, finite different scheme was
utilized in solving the differential equations of the model. MATLAB software was used for the numerical simulation to
examine the effect of these control measures on the population density, findings from the graphical solutions depicts that
these measures will aid in flattening the curve Cholera propagation in the population if properly implemented
transmission, with an incident rate equipped with a saturation factor to investigate the combined impact of three vital
measures which include effective surveillance, vaccination campaign and proper treatment in case severity. We established
among other things, the qualitative analysis of the model to validate the results. Furthermore, the reproduction
number (R0) was found to be less than unity (1), through the stability analysis. Additionally, finite different scheme was
utilized in solving the differential equations of the model. MATLAB software was used for the numerical simulation to
examine the effect of these control measures on the population density, findings from the graphical solutions depicts that
these measures will aid in flattening the curve Cholera propagation in the population if properly implemented
Keywords
Cholera
Control strategies
Endemic
Optimal Control
stability
Keywords
الكوليرا، الاستقرار، الوباء المتوطن، استراتيجيات السيطرة، السيطرة المثلى