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http://ir.futminna.edu.ng:8080/jspui/handle/123456789/13939| Title: | Mathematical Model for the Control of measles |
| Authors: | Peter, O. J. Afolabi, O. A. Victor, A. A Akpan, C. E. Oguntolu, F. A. |
| Keywords: | Measles Vaccination Equilibrium States Basic Reproduction Number |
| Issue Date: | 2018 |
| Publisher: | JASEM |
| Citation: | Peter, O. J., Afolabi, O. A., Victor, A. A., Akpan, C. E., & Oguntolu, F. A. (2018). Mathematical model for the control of measles. Journal of Applied Sciences and Environmental Management, 22(4), 571-576. |
| Abstract: | We proposed a mathematical model of measles disease dynamics with vaccination by considering the total number of recovered individuals either from natural recovery or recovery due to vaccination. We tested for the existence and uniqueness of solution for the model using the Lipchitz condition to ascertain the efficacy of the model and proceeded to determine both the disease free equilibrium (DFE) and the endemic equilibrium (EE) for the system of the equations and vaccination reproduction number are given. Numerical simulation of the model shows that vaccination is capable of reducing the number of exposed and infectious population. |
| URI: | https://dx.doi.org/10.4314/jasem.v22i4.24 http://repository.futminna.edu.ng:8080/jspui/handle/123456789/13939 |
| ISSN: | 1119-8362 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Mathematical model for the control of measles.pdf | 224.92 kB | Adobe PDF | View/Open |
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