293
Views
44
CrossRef citations to date
0
Altmetric
Section A

Global stability of a delayed SIRS computer virus propagation model

, &
Pages 347-367 | Received 12 Sep 2012, Accepted 20 Mar 2013, Published online: 20 May 2013

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (5)

K. Sunil Behal, Sunita Gakkhar & Tanuja Srivastava. (2022) Dynamics of virus-patch model with latent effect. International Journal of Computer Mathematics 99:9, pages 1754-1769.
Read now
Aníbal Coronel, Fernando Huancas & Manuel Pinto. (2021) Sufficient conditions for the existence of positive periodic solutions of a generalized nonresident computer virus model. Quaestiones Mathematicae 44:2, pages 259-279.
Read now
Yugui Chu, Wanjun Xia & Zecheng Wang. (2019) A delayed computer virus model with nonlinear incidence rate. Systems Science & Control Engineering 7:1, pages 389-406.
Read now
Chunqing Wu & Patricia J. Y. Wong. (2019) Dengue transmission: mathematical model with discrete time delays and estimation of the reproduction number. Journal of Biological Dynamics 13:1, pages 1-25.
Read now
Yu Yao, Zhao Zhang, Wei Yang & Fu-xiang Gao. (2016) Influence of removable devices on worm propagation under pulse quarantine strategy. Intelligent Automation & Soft Computing 22:4, pages 651-666.
Read now

Articles from other publishers (39)

Jagdev Singh, Jitendra Kumar, Devendra kumar & Dumitru Baleanu. (2024) A reliable numerical algorithm based on an operational matrix method for treatment of a fractional order computer virus model. AIMS Mathematics 9:2, pages 3195-3210.
Crossref
Sijie Shao & Zhiyong Li. (2023) Distributed immune time-delay SEIR-S model for new power system information network virus propagation. Journal of Intelligent & Fuzzy Systems 44:4, pages 6865-6876.
Crossref
Rahat Zarin, Hammad Khaliq, Amir Khan, Iftikhar Ahmed & Usa Wannasingha Humphries. (2023) A Numerical Study Based on Haar Wavelet Collocation Methods of Fractional-Order Antidotal Computer Virus Model. Symmetry 15:3, pages 621.
Crossref
ZULQURNAIN SABIR, DUMITRU BALEANU, MUHAMMAD ASIF ZAHOOR RAJAALI S. ALSHOMRANI & EVREN HINCAL. (2023) MEYER WAVELET NEURAL NETWORKS PROCEDURES TO INVESTIGATE THE NUMERICAL PERFORMANCES OF THE COMPUTER VIRUS SPREAD WITH KILL SIGNALS. Fractals 31:02.
Crossref
Yuan Wang, Hideaki Ishii, Francois Bonnet & Xavier Defago. (2022) Resilient Consensus for Multi-Agent Systems Under Adversarial Spreading Processes. IEEE Transactions on Network Science and Engineering 9:5, pages 3316-3331.
Crossref
XIAODONG YU, ANWAR ZEB & ZIZHEN ZHANG. (2022) MATHEMATICAL ANALYSIS OF A DELAYED MALWARE PROPAGATION MODEL ON MOBILE WIRELESS SENSOR NETWORK. Fractals 30:05.
Crossref
Zulqurnain Sabir, Muhammad Asif Zahoor Raja, Nadia Mumtaz, Irwan Fathurrochman, R. Sadat & Mohamed R. Ali. (2022) An Investigation Through Stochastic Procedures for Solving the Fractional Order Computer Virus Propagation Mathematical Model with Kill Signals. Neural Processing Letters.
Crossref
V. Madhusudanan, M.N. Srinivas, ChukwuNonso H. Nwokoye, B. S. N Murthy & S. Sridhar. (2022) HOPF- bifurcation analysis of delayed computer virus model with holling type iii incidence function and treatment. Scientific African 15, pages e01125.
Crossref
Fangfang Yang, Zizhen Zhang & Anwar Zeb. (2021) Hopf bifurcation of a VEIQS worm propagation model in mobile networks with two delays. Alexandria Engineering Journal 60:6, pages 5105-5114.
Crossref
José Roberto C. Piqueira, Manuel A.M. Cabrera & Cristiane M. Batistela. (2021) Malware propagation in clustered computer networks. Physica A: Statistical Mechanics and its Applications 573, pages 125958.
Crossref
Shanmei Li, Dongfan Xie, Xie Zhang, Zhaoyue Zhang & Wei Bai. (2020) Data-Driven Modeling of Systemic Air Traffic Delay Propagation: An Epidemic Model Approach. Journal of Advanced Transportation 2020, pages 1-12.
Crossref
Necati Özdemir, Sümeyra Uçar & Beyza Billur İskender Eroğlu. (2020) Dynamical Analysis of Fractional Order Model for Computer Virus Propagation with Kill Signals. International Journal of Nonlinear Sciences and Numerical Simulation 21:3-4, pages 239-247.
Crossref
Aníbal Coronel, Fernando Huancas, Ian Hess, Esperanza Lozada & Francisco Novoa-Muñoz. (2020) Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment. Mathematics 8:5, pages 761.
Crossref
Da-Wen Huang, Lu-Xing Yang, Xiaofan Yang, Xiang Zhong & Yuan Yan Tang. (2020) Evaluating the Performance of a Static Patching Strategy against Computer Viruses. Complexity 2020, pages 1-10.
Crossref
Xun Liang, Shusen Zhang, Yu Liu & Yuefeng Ma. (2020) Information Propagation Formalized Representation of Micro-blog Network Based on Petri Nets. Scientific Reports 10:1.
Crossref
Zizhen Zhang, Sangeeta Kumari & Ranjit Kumar Upadhyay. (2019) A delayed e-epidemic SLBS model for computer virus. Advances in Difference Equations 2019:1.
Crossref
Tao Zhao, Zizhen Zhang & Ranjit Kumar Upadhyay. (2018) Delay-induced Hopf bifurcation of an SVEIR computer virus model with nonlinear incidence rate. Advances in Difference Equations 2018:1.
Crossref
Yong Li, Xianning Liu, Lianwen Wang & Xingan Zhang. (2018) Hopf bifurcation of a delay SIRS epidemic model with novel nonlinear incidence: Application to scarlet fever. International Journal of Biomathematics 11:07, pages 1850091.
Crossref
Xiyin Liang, Yongzhen Pei & Yunfei Lv. (2018) Modeling the state dependent impulse control for computer virus propagation under media coverage. Physica A: Statistical Mechanics and its Applications 491, pages 516-527.
Crossref
M. Rafiq, M.S. Arif, A. Raza & M.O. Ahmad. (2018) Numerical modeling of virus outbreak in a computer network with limited anti-virus ability. Numerical modeling of virus outbreak in a computer network with limited anti-virus ability.
Lu-Xing Yang, Pengdeng Li, Xiaofan Yang, Yong Xiang & Wanlei Zhou. (2018) A Differential Game Approach to Patch Injection. IEEE Access 6, pages 58924-58938.
Crossref
Tao Zhao & Dianjie Bi. (2017) Hopf bifurcation of a computer virus spreading model in the network with limited anti-virus ability. Advances in Difference Equations 2017:1.
Crossref
Xianxiu Zhang & Chuandong Li. (2017) A new computer virus model with impulsive vaccination and saturation effect. A new computer virus model with impulsive vaccination and saturation effect.
Yingbo Wu, Pengdeng Li, Lu-Xing Yang, Xiaofan Yang & Yuan Yan Tang. (2017) A theoretical method for assessing disruptive computer viruses. Physica A: Statistical Mechanics and its Applications 482, pages 325-336.
Crossref
Zhi-juan Jia, Yan-yan Yang & Na Guo. (2017) Research on computer virus source modeling with immune characteristics. Research on computer virus source modeling with immune characteristics.
Lu-Xing Yang, Xiaofan Yang & Yingbo Wu. (2017) The impact of patch forwarding on the prevalence of computer virus: A theoretical assessment approach. Applied Mathematical Modelling 43, pages 110-125.
Crossref
Xianxiu Zhang, Chuandong Li, Wangshu Peng & Tingwen Huang. (2017) Toward understanding how the human vigilance contains the prevalence of computer viruses. Toward understanding how the human vigilance contains the prevalence of computer viruses.
Zizhen Zhang, Yougang Wang & Massimiliano Ferrara. (2017) Stability and Hopf Bifurcation for a Delayed Computer Virus Model with Antidote in Vulnerable System. Journal of Control Science and Engineering 2017, pages 1-9.
Crossref
Jichao Bi, Xiaofan Yang, Yingbo Wu, Qingyu Xiong, Junhao Wen & Yuan Yan Tang. (2017) On the Optimal Dynamic Control Strategy of Disruptive Computer Virus. Discrete Dynamics in Nature and Society 2017, pages 1-14.
Crossref
Zizhen Zhang, Yougang Wang, Dianjie Bi & Luca Guerrini. (2017) Stability and Hopf Bifurcation Analysis for a Computer Virus Propagation Model with Two Delays and Vaccination. Discrete Dynamics in Nature and Society 2017, pages 1-17.
Crossref
Xianxiu Zhang, Chuandong Li & Tingwen Huang. (2016) Impact of impulsive detoxication on the spread of computer virus. Advances in Difference Equations 2016:1.
Crossref
Yonghong Xu & Jianguo Ren. (2016) Propagation Effect of a Virus Outbreak on a Network with Limited Anti-Virus Ability. PLOS ONE 11:10, pages e0164415.
Crossref
Meng Zhang, Guohua Song & Lansun Chen. (2016) A state feedback impulse model for computer worm control. Nonlinear Dynamics 85:3, pages 1561-1569.
Crossref
Juan Liu, Carlo Bianca & Luca Guerrini. (2016) Dynamical Analysis of a Computer Virus Model with Delays. Discrete Dynamics in Nature and Society 2016, pages 1-21.
Crossref
Zizhen Zhang & Juan Liu. (2014) Dynamical analysis for a delayed computer virus model with saturated incidence rate. Journal of Applied Mathematics and Computing 49:1-2, pages 447-473.
Crossref
Lu-Xing Yang & Xiaofan Yang. (2015) The impact of nonlinear infection rate on the spread of computer virus. Nonlinear Dynamics 82:1-2, pages 85-95.
Crossref
Lu-Xing Yang, Moez Draief & Xiaofan Yang. (2015) The Impact of the Network Topology on the Viral Prevalence: A Node-Based Approach. PLOS ONE 10:7, pages e0134507.
Crossref
Lijuan Chen, Khalid Hattaf & Jitao Sun. (2015) Optimal control of a delayed SLBS computer virus model. Physica A: Statistical Mechanics and its Applications 427, pages 244-250.
Crossref
Yoshiaki Muroya & Toshikazu Kuniya. (2014) Global stability of nonresident computer virus models. Mathematical Methods in the Applied Sciences 38:2, pages 281-295.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.