Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703960 | Applied Mathematical Modelling | 2013 | 9 Pages |
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
Xue-yong Zhou, Jing-an Cui,