Title :
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
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;
Conference_Titel :
Biomedical Engineering International Conference (BMEiCON), 2011
Conference_Location :
Chiang Mai
Print_ISBN :
978-1-4577-2189-2
DOI :
10.1109/BMEiCon.2012.6172009
