Global analysis of a periodic epidemic model on cholera in presence of bacteriophage

摘要

We propose and analyze a recurrent epidemic model of cholera in the presence of bacteriophage. The model is extended by general periodic incidence functions for low-infectious bacterium and high-infectious bacterium, respectively. A general periodic shedding function for two infected class (phage-positive and phage-negative) and a generalized contact and intrinsic growth function for susceptible class are also considered. Under certain biological assumptions, we derive the basic reproduction number (R-0) in a periodic environment for the proposedmodel. We also observe the global stability of the disease-free equilibrium, existence, permanence, and global stability of the positive endemic periodic solution of our proposed model. Finally, we verify our results with specific functional form. Copyright (C) 2016 John Wiley & Sons, Ltd.