HOPF- bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatment
Computer viruses have become a threatening challenge to most network users. Due to enormous operational constraints, distortions, and alterations caused by malware spread, research on network security is deemed essential. These malicious codes are sufficiently equipped to distribute themselves over...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-03-01
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| Series: | Scientific African |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468227622000345 |
| _version_ | 1818138452441432064 |
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| author | V. Madhusudanan M.N. Srinivas ChukwuNonso H. Nwokoye B. S. N Murthy S. Sridhar |
| author_facet | V. Madhusudanan M.N. Srinivas ChukwuNonso H. Nwokoye B. S. N Murthy S. Sridhar |
| author_sort | V. Madhusudanan |
| collection | DOAJ |
| description | Computer viruses have become a threatening challenge to most network users. Due to enormous operational constraints, distortions, and alterations caused by malware spread, research on network security is deemed essential. These malicious codes are sufficiently equipped to distribute themselves over the whole system. Consequently, infected hosts can rapidly pollute adjoining nodes. In the past, many research efforts have derived analytical models for computer viruses under several scenarios of infectiousness. Therefore, we considered the Susceptible-Exposed-Infectious-Recovered-Vaccinated (SVEIR) model with Holling Type III incidence function and treatment. This is to address the ubiquitous application of the bilinear contagion rate. Here, the delay parameter was chosen and, through numerous analyses, we demonstrated the presence of a Hopf bifurcation as it crosses a critical value. Furthermore, we examined the attributes of the Hopf bifurcation by employing the centre manifold theorem and the normal form theory. Then, we performed numerical simulation experiments for different conditions in order to underpin the derived theoretical conclusions. |
| first_indexed | 2024-12-11T10:12:25Z |
| format | Article |
| id | doaj.art-8e6c779d15344a308305111a680bf792 |
| institution | Directory Open Access Journal |
| issn | 2468-2276 |
| language | English |
| last_indexed | 2024-12-11T10:12:25Z |
| publishDate | 2022-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Scientific African |
| spelling | doaj.art-8e6c779d15344a308305111a680bf7922022-12-22T01:11:42ZengElsevierScientific African2468-22762022-03-0115e01125HOPF- bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatmentV. Madhusudanan0M.N. Srinivas1ChukwuNonso H. Nwokoye2B. S. N Murthy3S. Sridhar4Department of Mathematics, S.A. Engineering College, Chennai 600077, Tamil Nadu, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, IndiaNigeria Correctional Service, NigeriaDepartment of Mathematics, Aditya College of Engineering and Technology, Surampalem, Andrapradesh, IndiaDepartment of Science and Humanities, Easwari Engineering College, Chennai 600089, Tamil Nadu, IndiaComputer viruses have become a threatening challenge to most network users. Due to enormous operational constraints, distortions, and alterations caused by malware spread, research on network security is deemed essential. These malicious codes are sufficiently equipped to distribute themselves over the whole system. Consequently, infected hosts can rapidly pollute adjoining nodes. In the past, many research efforts have derived analytical models for computer viruses under several scenarios of infectiousness. Therefore, we considered the Susceptible-Exposed-Infectious-Recovered-Vaccinated (SVEIR) model with Holling Type III incidence function and treatment. This is to address the ubiquitous application of the bilinear contagion rate. Here, the delay parameter was chosen and, through numerous analyses, we demonstrated the presence of a Hopf bifurcation as it crosses a critical value. Furthermore, we examined the attributes of the Hopf bifurcation by employing the centre manifold theorem and the normal form theory. Then, we performed numerical simulation experiments for different conditions in order to underpin the derived theoretical conclusions.http://www.sciencedirect.com/science/article/pii/S2468227622000345Computer virus modelHopf-BifurcationDelayed model |
| spellingShingle | V. Madhusudanan M.N. Srinivas ChukwuNonso H. Nwokoye B. S. N Murthy S. Sridhar HOPF- bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatment Scientific African Computer virus model Hopf-Bifurcation Delayed model |
| title | HOPF- bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatment |
| title_full | HOPF- bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatment |
| title_fullStr | HOPF- bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatment |
| title_full_unstemmed | HOPF- bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatment |
| title_short | HOPF- bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatment |
| title_sort | hopf bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatment |
| topic | Computer virus model Hopf-Bifurcation Delayed model |
| url | http://www.sciencedirect.com/science/article/pii/S2468227622000345 |
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