Backward bifurcation and global stability in a heroin epidemic model

Reza Memarbashi, Somaye Taghavi

Abstract


In this paper, we propose and study a heroin epidemic model considering the effect of incarceration of users due to criminal actions. We prove the occurrence of backward bifurcation and compute the threshold quantity $R_0^c$ by a new method. Furthermore the global stability of the equilibrium points of the model is investigated using Lyapunov functions and geometric stability method.

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Published: 2020-04-16

How to Cite this Article:

Reza Memarbashi, Somaye Taghavi, Backward bifurcation and global stability in a heroin epidemic model, Commun. Math. Biol. Neurosci., 2020 (2020), Article ID 17

Copyright © 2020 Reza Memarbashi, Somaye Taghavi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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