文章基本信息

标题：Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence
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作者：Zizhen Zhang ; Yougang Wang ; Luca Guerrini 等
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2018
卷号：2018
DOI：10.1155/2018/7619074
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with a delayed SVEIR worm propagation model with saturated incidence. The main objective is to investigate the effect of the time delay on the model. Sufficient conditions for local stability of the positive equilibrium and existence of a Hopf bifurcation are obtained by choosing the time delay as the bifurcation parameter. Particularly, explicit formulas determining direction of the Hopf bifurcation and stability of the bifurcating periodic solutions are derived by using the normal form theory and the center manifold theorem. Numerical simulations for a set of parameter values are carried out to illustrate the analytical results.