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Bifurcation of a heroin model with nonlinear incidence rate

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Abstract

In this paper, the dynamical properties of a heroin model with nonlinear contact rate are discussed. We analyze the types of the equilibria and show that the model exhibits numerous kinds of bifurcation, such as the saddle-node bifurcation, the Hopf bifurcation, Bogdanov–Takens bifurcation of codimension 2 and so on as the parameters values vary. These results have certain effect to control the heroin prevalence.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xidian University, Xi’an, 710071, People’s Republic of China

    Mingju Ma, Sanyang Liu & Jun Li

Authors
  1. Mingju Ma
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  2. Sanyang Liu
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  3. Jun Li
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Corresponding author

Correspondence to Jun Li.

Additional information

Research Supported by the NSF of China (No. 61373174).

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Ma, M., Liu, S. & Li, J. Bifurcation of a heroin model with nonlinear incidence rate. Nonlinear Dyn 88, 555–565 (2017). https://doi.org/10.1007/s11071-016-3260-9

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  • DOI: https://doi.org/10.1007/s11071-016-3260-9

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