Khan, Muhammad Altaf and Saddiq, Syed Farasat and Islam, Saeed and Khan, Ilyas and Shafie, Sharidan (2016) Dynamic behavior of leptospirosis disease with saturated incidence rate. International Journal of Applied and Computational Mathematics, 2 (4). pp. 435-452. ISSN 2349-5103
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Official URL: http://dx.doi.org/10.1007/s40819-015-0102-2
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 R< 1. Further, we find that endemic equilibrium is stable locally and globally if R> 1. The numerical results are shown for analytical results.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | basic reproduction number, global stability, leptospirosis, numerical results, saturated incidence |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 60206 |
| Deposited By: | Haliza Zainal |
| Deposited On: | 24 Jan 2017 02:54 |
| Last Modified: | 09 Aug 2021 06:39 |
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