Backward bifurcations in fractional-order vaccination models
El-Saka, H. (2015). Backward bifurcations in fractional-order vaccination models. EKB Journal Management System, 23(1), 49-55. doi: 10.1016/j.joems.2014.02.012
H.A.A. El-Saka. "Backward bifurcations in fractional-order vaccination models". EKB Journal Management System, 23, 1, 2015, 49-55. doi: 10.1016/j.joems.2014.02.012
El-Saka, H. (2015). 'Backward bifurcations in fractional-order vaccination models', EKB Journal Management System, 23(1), pp. 49-55. doi: 10.1016/j.joems.2014.02.012
El-Saka, H. Backward bifurcations in fractional-order vaccination models. EKB Journal Management System, 2015; 23(1): 49-55. doi: 10.1016/j.joems.2014.02.012

Backward bifurcations in fractional-order vaccination models

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Pages 49-55    PDF (664.78 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.02.012
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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