Stability and Lyapunov functions for the dynamics of Leptospirosis

Author

Kongnuy, Rujira ; Naowanich, Ekachai

Author_Institution

Dept. of Math., Rajamangala Univ. of Technol., Nonthaburi, Thailand

fYear

2012

Firstpage

17

Lastpage

21

Abstract

In this paper, we study the Lyapunov functions to show the stability of Leptospirosis transmission model. Leptospirosis is the most common bacterial zoonosis worldwide, caused by spirochetes of the genus Leptospira that are transmitted from infected animals to humans. The population of the human population is divided into four compartments, Susceptible, Exposed, Infectious and Recovered. The mouse population is separated to three classes, Susceptible, Exposed and Infectious. The globally asymptotically for two equilibrium states are analyzed.

Keywords

Lyapunov methods; cellular biophysics; diseases; microorganisms; Infectious class; Leptospirosis transmission model; Lyapunov functions; bacterial zoonosis; exposed class; genus Leptospira; human population; mouse population; recovered class; spirochetes; stability functions; susceptible class; Asymptotic stability; Diseases; Humans; Mathematical model; Mice; Public healthcare; Stability analysis; Leptospirosis; Lyapunov functions; equlibrium state; global stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Biomedical Engineering International Conference (BMEiCON), 2011

Conference_Location

Chiang Mai

Print_ISBN

978-1-4577-2189-2

Type

conf

DOI

10.1109/BMEiCon.2012.6172009

Filename

6172009