Title of article :
Dynamic Behavior of Leptospirosis Disease with Saturated Incidence Rate
Author/Authors :
khan, muhammad altaf abdul wali khan university mardan - department of mathematics, Pakistan , saddiq, farasat islamia college university peshawar - department of mathematics, Pakistan , islam, saeed abdul wali khan university mardan - department of mathematics, Pakistan , khan, ilyas majmaah university - college of engineering, Saudi Arabia , shafie, sharidan universiti teknologi malaysia - faculty of science - department of mathematical sciences, Malaysia
Abstract :
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 R0 1. Further, we find that endemic equilibrium is stable locally and globally if R0 1. The numerical results are shown for analytical results.
Keywords :
Leptospirosis , Saturated incidence , Basic reproduction number , Global stability , Numerical results
Journal title :
International Journal Of Applied and Computational Mathematics
Journal title :
International Journal Of Applied and Computational Mathematics
