Article ID Journal Published Year Pages File Type
1703960 Applied Mathematical Modelling 2013 9 Pages PDF
Abstract

A cholera epidemic model with periodic transmission rate is presented. The basic reproduction number is defined. It is shown that the disease-free equilibrium is globally asymptotically stable and the cholera eventually disappears if the basic reproduction number is less than one. And if the basic reproduction number is greater than one, there exists a positive periodic solution which is globally asymptotically stable. Numerical simulations are provided to illustrate analytical results.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
, ,