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.
El-Saka, H. (2015). Backward bifurcations in fractional-order vaccination models. Journal of the Egyptian Mathematical Society, 23(1), 49-55. doi: 10.1016/j.joems.2014.02.012
MLA
H.A.A. El-Saka. "Backward bifurcations in fractional-order vaccination models", Journal of the Egyptian Mathematical Society, 23, 1, 2015, 49-55. doi: 10.1016/j.joems.2014.02.012
HARVARD
El-Saka, H. (2015). 'Backward bifurcations in fractional-order vaccination models', Journal of the Egyptian Mathematical Society, 23(1), pp. 49-55. doi: 10.1016/j.joems.2014.02.012
VANCOUVER
El-Saka, H. Backward bifurcations in fractional-order vaccination models. Journal of the Egyptian Mathematical Society, 2015; 23(1): 49-55. doi: 10.1016/j.joems.2014.02.012
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