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http://repository.futminna.edu.ng:8080/jspui/handle/123456789/13964| Title: | The Existence and Stability Analysis of the Equilibria in Lymphatic Filariasis Model |
| Authors: | Oguntolu, F. A. Akinwande, N. I. Olayiwola, O. R. Abdulrahman, S. |
| Keywords: | Equilibrium Stability Basic Reproduction Number disease-free |
| Issue Date: | May-2017 |
| Publisher: | 36th Annual Conference of the National Mathematics Society (NMS) |
| Citation: | Oguntolu, F. A., Akinwande, N. I., Olayiwola, O. R. & Abdulrahman, S. (2017). The Existence and Stability Analysis of the Equilibria in Lymphatic Filariasis Model. 36th Annual Conference of the National Mathematics Society (NMS) Markurdi Benue. |
| Abstract: | In this paper, a mathematical model describing the dynamics of Lymphatic Filariasis epidemics, which involves the interaction of two principal communities of Hosts (Human) and vectors (mosquitoes) is presented. We found a threshold parameter R0, known as the Basic Reproduction Number. This model has two equilibria, disease-free equilibrium and endemic equilibrium. By construction suitable Lyapunov function. We show that the disease-free equilibrium is globally asymptotic stable whenever R0 is less than one and when it is greater than one, the endemic equilibrium is globally asymptotic stable. |
| URI: | http://repository.futminna.edu.ng:8080/jspui/handle/123456789/13964 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| NMS 36 B.pdf | 524.75 kB | Adobe PDF | View/Open |
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