Backward Bifurcation in a Fractional-Order SIRS Epidemic Model with a Nonlinear Incidence Rate
2016 ◽
Vol 17
(7-8)
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pp. 401-412
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Keyword(s):
Abstract:In this work we study a fractional-order susceptible-infective-recovered-susceptible (SIRS) epidemic model with a nonlinear incidence rate. The incidence is assumed to be a convex function with respect to the infective class of a host population. Local and uniform stability analysis of the disease-free equilibrium is investigated. The conditions for the existence of endemic equilibria (EE) are given. Local stability of the EE is discussed. Conditions for the existence of Hopf bifurcation at the EE are given. Most importantly, conditions ensuring that the system exhibits backward bifurcation are provided. Numerical simulations are performed to verify the correctness of results obtained analytically.
2012 ◽
Vol 479-481
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pp. 1495-1498
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Keyword(s):
2020 ◽
Vol 551
◽
pp. 124152
2017 ◽
Vol 305
◽
pp. 221-240
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2011 ◽
Vol 15
(1)
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pp. 93-112
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Keyword(s):
2015 ◽
Vol 2015
◽
pp. 1-9
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Keyword(s):