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Lyapunov Approach in Global Asymptotic Stability of an Epidemic Model of Computer Viruses

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dc.contributor.authorMontacer, Billah Zemmal
dc.date.accessioned2022-07-06T08:27:17Z
dc.date.available2022-07-06T08:27:17Z
dc.date.issued2022
dc.description.abstractThe aim of this work is to study a system of first order ordinary differential equations is used to analyse the dynamics of computer viruses via a mathematical model proposed. The global stability analysis is conducted for the extended model by suitable Lyapunov function, interesting only on internal computers connected to the internet which they are classified to uninfected computers (i.e., virus-free computers), infected computers that are currently latent and infected computers that are currently breaking. The basic reproduction number R0 can be played role in determining whether the virus will extinct or persist, if R0 < 1 then the virus-free equilibrium is globally asymptotically stable and unstable when R0> 1 . Hence, we suggest some aspects for future research, which are : when R0= 1 . Are the disease-free and endemic equilibrium asymptotically stable?en_US
dc.description.provenanceSubmitted by snv snv (dspace.snv@univ-tebessa.dz) on 2022-07-06T08:27:17Z No. of bitstreams: 1 Montacer Billah Zemmal.pdf: 1464901 bytes, checksum: fd85494e330fd1a3bb79242e818efec0 (MD5)en
dc.description.provenanceMade available in DSpace on 2022-07-06T08:27:17Z (GMT). No. of bitstreams: 1 Montacer Billah Zemmal.pdf: 1464901 bytes, checksum: fd85494e330fd1a3bb79242e818efec0 (MD5) Previous issue date: 2022en
dc.description.sponsorshipBOUAZIZ Khelifaen_US
dc.identifier.urihttp//localhost:8080/jspui/handle/123456789/4862
dc.language.isoenen_US
dc.publisherLarbi Tebessi University - Tebessaen_US
dc.subjectنماذج ديناميكية، انتشار فيروس الحاسوب ، استقرار كلي، فيروس الحاسوب، دالة ليابونوف، استقرار فولتيرا-ليابونوف.en_US
dc.subjectModèles dynamiques , Propagation virale d’ordinateur , Stabilité globale , Virus d’ordinateur, Fonction de Lyapunov , Stabilité de Volterra–Lyapunoven_US
dc.subjectDynamical models, Computer viral propagation, Global stability, Computer virus, Lyapunov function, Volterra–Lyapunov stability.en_US
dc.titleLyapunov Approach in Global Asymptotic Stability of an Epidemic Model of Computer Virusesen_US
dc.typeThesisen_US

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