Hopf bifurcation and optimal control of a delayed SLBPS virus-patch model?

被引：4
|
作者：
Yu, Xiaodong [1 ]
Zeb, Anwar [2 ]
Liu, Guiyun [3 ]
机构：
[1] Wuxi Univ, Sch Internet Things Engn, Wuxi 214105, Peoples R China
[2] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Abbottabad 22060, Khyber Pakhtunk, Pakistan
[3] Guangzhou Univ, Sch Mech & Elect Engn, Guangzhou 510006, Peoples R China
来源：
RESULTS IN PHYSICS | 2022年 / 39卷
基金：
中国国家自然科学基金;
关键词：
Delayoftemporaryimmunity; Patchingstrategy; Hopfbifurcation; Optimalcontrol; SLBPSvirus-patchmodel; EPIDEMIC MODEL; COMPUTER VIRUSES;
D O I：
10.1016/j.rinp.2022.105743
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper formulates a Susceptible-Latent-Breaking out-Patched-Susceptible (SLBPS) virus propagation model with delay of temporary immunity. The influence of time delay on stability of the model is examined by analyzing the distribution of eigenvalues of the characteristic equation. Furthermore, we also demonstrate the direction and stability of the Hopf bifurcation. Lastly, optimal control strategies in terms of the rate at which susceptible, latent, break out nodes acquiring patches to improve performance of the model are presented. For the sake of the correctness of the theoretical analysis, some numerical simulations are also presented.
引用
收藏
页数：9
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