Hopf Bifurcation Analysis of a Synthetic Drug Transmission Model with Time Delays. (22nd November 2019)

• Record Type: Journal Article
• Authors: Zhang, Zizhen; Yang, Fangfang; Xia, Wanjun
• Other Names: Kuniya Toshikazu Academic Editor.
• Is Part Of: Complexity. Volume 2019(2019)
• Publication Date: 2019-11-22
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2019/3492589
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This paper is concerned with the Hopf bifurcation of a synthetic drug transmission model with two delays. Firstly, some sufficient conditions of delay-induced bifurcation for such a model are captured by using different combinations of the two delays as the bifurcation parameter. Secondly, based on the center manifold theorem and normal form theory, some sufficient conditions determining properties of the Hopf bifurcation such as the direction and the stability are established. Finally, to underline the effectiveness of the obtained results, some numerical simulations are ultimately addressed.