Abstract
AbstractWe consider a general cholera model with a nonlinear treatment function. The treatment function describes the saturated treatment scenario due to the limited availability of resources. The sufficient conditions for the existence of backward bifurcation have been obtained using the central manifold theory. At last, we illustrate the results by considering some special types of treatment functions.
Publisher
Springer Science and Business Media LLC
Subject
General Earth and Planetary Sciences,General Physics and Astronomy,General Engineering,General Environmental Science,General Materials Science,General Chemical Engineering
Reference40 articles.
1. Alzahrani EO, Ahmad W, Khan MA, Malebary SJ (2020) Optimal control strategies of Zika virus model with mutant. Commun Nonlinear Sci Numer Simul 93:105532
2. Asamoah JKK, Nyabadza F, Jin Z, Bonyah E, Khan MA, Li MY, Hayat T (2020) Backward bifurcation and sensitivity analysis for bacterial meningitis transmission dynamics with a nonlinear recovery rate. Chaos Solitons Fractals 140:110237
3. Buonomo B (2015) A note on the direction of the transcritical bifurcation in epidemic models. Nonlinear Anal Model Control 20:38–55
4. Buonomo B, Lacitignola D (2011) On the backward bifurcation of a vaccination model with nonlinear incidence. Nonlinear Anal Model Control 16(1):30–46
5. Buonomo B, Lacitignola D (2012) Forces of infection allowing for backward bifurcation in an epidemic model with vaccination and treatment. Acta Appl Math 122(1):283–293
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