A rumor spreading multi-delay model with delay-dependent parameter
- 点击次数：
- 所属单位：Elsevier
- 发表刊物：Mathematics and Computers in Simulation
- 刊物所在地：NETHERLANDS
- 关键字：Reproduction number; Rumor; Delay; Hopf bifurcation; Global stability
- 摘要：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.
- 全部作者：Qi An
- 第一作者：Shunjie Li
- 论文类型：期刊论文
- 通讯作者：Xuebing Zhang
- 学科门类：理学
- 文献类型：J
- 卷号：223
- 页面范围：34-49
- 是否译文：是
- CN号：0378-4754
- 发表时间：2024-04-01
- 收录刊物：SCI
