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Affiliation of Author(s):Elsevier

Journal:Mathematics and Computers in Simulation

Place of Publication:NETHERLANDS

Key Words:Reproduction number; Rumor; Delay; Hopf bifurcation; Global stability

Abstract:This study presents a novel delayed rumor spreading model that incorporates a general contact function. We determine the reproduction number, denoted as R0, and discuss its threshold properties. If R0 < 1, the global asymptotic stability of the rumor-free equilibrium, denoted as E0, is ensured. Conversely, if R0 > 1, the system exhibits a single rumorendemic equilibrium, denoted as E∗, which is globally asymptotically stable under certain conditions. Furthermore, by considering the delay as a bifurcation parameter, we explore the Hopf bifurcation of the system. Our analysis indicates that the temporal dynamics of the system are significantly influenced by the delay, which can cause stability to transition into instability. Additionally, we introduce a control variable into the model, and derive an optimal solution.

All the Authors:Qi An

First Author:Shunjie Li

Indexed by:Journal paper

Correspondence Author:Xuebing Zhang

Discipline:Natural Science

Document Type:J

Volume:223

Page Number:34-49

Translation or Not:yes

CN No.:0378-4754

Date of Publication:2024-04-01

Included Journals:SCI

Date of Publication:2024-04-01