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http://repository.futminna.edu.ng:8080/jspui/handle/123456789/13922| Title: | Local Stability Analysis of a River Blindness Disease Model with Control. |
| Authors: | Oguntolu, F. A. Bolarin, G. Somma, S. A. Bello, A. O. |
| Keywords: | Basic reproduction number Disease free equilibrium Stability River blindness |
| Issue Date: | May-2018 |
| Publisher: | The Pacific Journal of Science and Technology |
| Citation: | F.A. Oguntolu, G. Bolarin, S.A. Somma and A.O. Bello (2018), Local Stability Analysis of a River Blindness Disease Model with Control, The Pacific Journal of Science and Technology, 19(1) pp 151-158 |
| Abstract: | In this paper, a mathematical model to study the dynamics of River Blindness is presented. The existence and uniqueness of solutions of the model were examined by actual solution. The effective reproduction number was obtained using the next generation matrix. The Disease Free Equilibrium (DFE) State was obtained and analysed for stability. It was found that, the DFE State is Locally Asymptotically Stable (LAS) if the effective reproduction number R0 1 and unstable if R0 1. |
| URI: | http://repository.futminna.edu.ng:8080/jspui/handle/123456789/13922 |
| ISSN: | 1551-7624 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Local Stability Analysis of a River Blindness Disease Model with Control.pdf | 322.25 kB | Adobe PDF | View/Open |
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