Hopf bifurcation of a heroin model with time delay and saturated treatment function
作者： Zizhen Zhang , Yougang Wang
DOI: 10.1186/S13662-019-2009-4
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摘要: In this paper, local stability and Hopf bifurcation of a delayed heroin model with saturated treatment function are discussed. First all, sufficient conditions for existence obtained by regarding the time delay as parameter analyzing distribution roots associated characteristic equation. Directly afterward, properties bifurcation, such direction stability, investigated aid normal form theory and the manifold center theorem. Finally, numerical simulations presented to justify theoretical results, some suggestions offered controlling abuse in populations.
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