Mathematical Model of Leptospirosis: Linearized Solutions and Stability Analysis

dc.contributor.authorB. Pimpunchat
dc.contributor.authorG. C. Wake
dc.contributor.authorC. Modchang
dc.contributor.authorW. Triampo
dc.contributor.authorA. M Babylon
dc.date.accessioned2025-07-21T05:53:36Z
dc.date.issued2013-01-01
dc.description.abstractIn 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.
dc.identifier.doi10.4236/am.2013.410a2008
dc.identifier.urihttps://dspace.kmitl.ac.th/handle/123456789/3839
dc.subjectEquilibrium point
dc.subject.classificationLeptospirosis research and findings
dc.titleMathematical Model of Leptospirosis: Linearized Solutions and Stability Analysis
dc.typeArticle

Files

Collections