TITLE:
Mathematical Model of Leptospirosis: Linearized Solutions and Stability Analysis
AUTHORS:
B. Pimpunchat, G. C. Wake, C. Modchang, W. Triampo, A. M Babylon
KEYWORDS:
Technology; Preference for Quality; Volume of Trade; Vertical Intra-Industry Trade
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.10B,
October
4,
2013
ABSTRACT: In this paper the transmission of leptospirosis, an
infectious disease caused by bacteria, is studied. Leptospirosis is currently
spreading in Thailand
and worldwide. A Susceptible-Infected-Removed sir model is used to study the
stability analysis, analytical solution and global behavior of the spreading of
the disease. The model was analysed using the techniques of non-linear
dynamical systems. Two equilibrium points were found and the stability conditions
for these equilibrium points were established. It will be shown that the
linearised solutions of the sir equations are in good agreement with numerical
solutions.