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Hopf bifurcation of a heroin model with time delay and saturated treatment function - MaRDI portal

Hopf bifurcation of a heroin model with time delay and saturated treatment function (Q667956)

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scientific article; zbMATH DE number 7031850
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Hopf bifurcation of a heroin model with time delay and saturated treatment function
scientific article; zbMATH DE number 7031850

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    Hopf bifurcation of a heroin model with time delay and saturated treatment function (English)
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    4 March 2019
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    The authors consider a delayed heroin epidemic model with saturated treatment function. Some sufficient conditions for the local stability of the solutions are obtained, and considering the time delay as a bifurcation parameter, the authors succeed to establish the existence of a Hopf bifurcation. Numerical simulations are also presented to justify the theoretical results contained in the paper.
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    heroin model
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    Hopf bifurcation
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    stability
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    time delay
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