Dynamic behavior of leptospirosis disease with saturated incidence rate

• Main Authors: Khan, Muhammad Altaf, Saddiq, Syed Farasat, Islam, Saeed, Khan, Ilyas, Shafie, Sharidan
• Format: Article
• Published: Springer India Pvt. Ltd 2016
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/60206/; http://dx.doi.org/10.1007/s40819-015-0102-2
• Institution: Universiti Teknologi Malaysia

Leptospirosis is a tropical disease and found almost in globe. Human as well as mammals are mostly infected from this disease. This work presents a mathematical study of the leptospirosis disease with saturated incidence rate. Initially, we present the model formulation and their fundamental properties. Then we find the local stability of the disease free and endemic equilibrium. The disease free equilibrium is stable both locally and globally when R< 1. Further, we find that endemic equilibrium is stable locally and globally if R> 1. The numerical results are shown for analytical results.