Dynamic Behavior of Leptospirosis Disease with Saturated Incidence Rate

被引：0
|
作者：
Khan M.A. [1 ]
Saddiq S.F. [2 ]
Islam S. [1 ]
Khan I. [3 ]
Shafie S. [4 ]
机构：
[1] Department of Mathematics, Abdul Wali Khan, University Mardan, Mardan, Khyber Pakhtunkhwa
[2] Department of Mathematics, Islamia College University Peshawar, Peshawar, Khyber Pakhtunkhwa
[3] College of Engineering Majmaah University, Majmaah
[4] Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai, Johor
来源：
International Journal of Applied and Computational Mathematics | 2016年 / 2卷 / 4期
关键词：
Basic reproduction number; Global stability; Leptospirosis; Numerical results; Saturated incidence;
D O I：
10.1007/s40819-015-0102-2
中图分类号：
学科分类号：
摘要：
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. © 2015, Springer India Pvt. Ltd.
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页码：435 / 452
页数：17
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