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Title: | On the verification of existence of backward bifurcation for a mathematical model of cholera dynamics |
Authors: | Ayoade, A. A. Peter, O. J. Oguntolu, F. A. Ishola, C. Y. Amadiegwu, S. |
Keywords: | Model Stability Center manifold theory Bifurcation |
Issue Date: | Jun-2018 |
Publisher: | University Of Lagos |
Citation: | Ayoade, A. A., Peter, O. J., Oguntolu, F. A., Ishola, C. Y., & Amadiegwu, S. (2018). On the verification of existence of backward bifurcation for a mathematical model of cholera dynamics. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2018, 312-320. |
Abstract: | A cholera transmission model, which incorporates preventive measures, is studied qualitatively. The stability results together with the center manifold theory are used to investigate the existence of backward bifurcation for the model. The epidemiological consequence of backward bifurcation is that the disease may still persist in the population even when the classical requirement of the reproductive number R_0 being less than one is satisfied. |
URI: | http://ijmso.unilag.edu.ng/article/view/42 http://repository.futminna.edu.ng:8080/jspui/handle/123456789/13943 |
ISSN: | 2814-0230 |
Appears in Collections: | Mathematics |
Files in This Item:
File | Description | Size | Format | |
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On the verification of existence of backward bifurcation for a mathematical model of cholera dynamics.pdf | 781.7 kB | Adobe PDF | View/Open |
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