Backward bifurcations in fractional-order vaccination models | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 1, 2015, Page 49-55 PDF (664.78 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2014.02.012 | ||||
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Author | ||||
H.A.A. El-Saka* | ||||
Faculty of Science, Damietta University, 34517 New Damietta, Egypt | ||||
Abstract | ||||
We describe and analyze some fractional order models for disease transmission with vaccination. In particular, we give conditions for the existence of multiple endemic equilibria and backward bifurcations. Numerical solutions of the models are given. Numerical simulations have been used to verify the theoretical analysis. | ||||
Keywords | ||||
Fractional-order; SIS model; Vaccination; Backward bifurcation; Stability; Numerical solutions | ||||
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