Global analysis of a periodic epidemic model on cholera in presence of bacteriophage
Article Type
Research Article
Publication Title
Mathematical Methods in the Applied Sciences
Abstract
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 (R0) in a periodic environment for the proposed model. 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 © 2016 John Wiley & Sons, Ltd.
First Page
4181
Last Page
4195
DOI
10.1002/mma.3855
Publication Date
9-30-2016
Recommended Citation
Sardar, Tridip; Biswas, Santanu; and Chattopadhyay, Joydev, "Global analysis of a periodic epidemic model on cholera in presence of bacteriophage" (2016). Journal Articles. 4236.
https://digitalcommons.isical.ac.in/journal-articles/4236