Delay effect of an e-epidemic SEIRS malware propagation model with a generalized non-monotone incidence rate

被引:8
|
作者
Liu, Juan [1 ]
Saeed, Tareq [2 ]
Zeb, Anwar [3 ]
机构
[1] Bengbu Univ, Sch Sci, Bengbu 233030, Anhui, Peoples R China
[2] King Abdulaziz Univ, Dept Math, Jeddah 41206, Saudi Arabia
[3] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Abbottabad 22060, Khyber Pakhtunk, Pakistan
关键词
Delay; Hopfbifurcation; Malware; Non-monotoneincidencerate; Periodicsolutions; BIFURCATION-ANALYSIS; NETWORK; DYNAMICS; DISEASE;
D O I
10.1016/j.rinp.2022.105672
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Malware such as virus, worm, and Trojan horse, is a software designed to pose harmful and undesirable effects on communication networks. It can cause numerous sever damage like data loss , repeated occupation of the memory space and corrupting databases etc. To overcome such and other related drastic threats, we need to fight against and control spread of malware at large scale. For this goal, a delayed e-epidemic SEIRS malware propagation model with a generalized non-monotone incidence rate is formulated in our paper. The basic reproduction number is derived. Then local stability and Hopf bifurcation analysis of the viral equilibrium is performed. Further, properties of the Hopf bifurcation are carried out. Finally, numerical simulations are implemented to justify the theoretical findings.
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页数:8
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