Cholera

by Rubin Fandio¹, Hamadjam Abboubakar¹²³⁴*, Sylvain Ardo Gouroudja Banbeto³, Henri Paul Ekobena Fouda¹.
Cholera is a diarrheal disease that was declared a pandemic in 2010, highlighting its reemergence. Southeast Asia and Africa remain at the greatest risk of widespread transmission. The purpose of this study is to develop and analyze a cholera model that incorporates both integer- and fractional-order derivatives in the Caputo sense. After formulating the model, we demonstrate the existence and uniqueness of its solution. We then identify the cholera-free equilibrium point and establish its local and global asymptotic stability whenever the epidemiological threshold Rc is less than one (Rc < 1). Using real data, we calibrate the model through parameter estimation and forecasting. With the estimated parameters, we observe that […] Read more at https://mjcellpress.com/article/mjmcs01/