Global dynamics and optimal control of a viral infection model with generic nonlinear infection rate

DOI10.1155/2017/7571017zbMath1369.92119OpenAlexW2588330679WikidataQ59143273 ScholiaQ59143273MaRDI QIDQ2398743

Chenquan Gan, Maobin Yang, Zufan Zhang, Wanping Liu

Publication date: 21 August 2017

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/7571017

zbMATH Keywords

equilibriumLaSalle's invariance principlegeneric nonlinear infection rate

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of optimal control and differential games (49N90) Stability of solutions to ordinary differential equations (34D20) Computer system organization (68M99)

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A spectral collocation method for computer virus spread case of delayed optimal control problem ⋮ A novel dynamic model for web malware spreading over scale-free networks ⋮ The effect of social tie on information diffusion in complex networks ⋮ Optimal and nonlinear dynamic countermeasure under a node-level model with nonlinear infection rate ⋮ Modeling the effect of external computers and removable devices on a computer network with heterogeneous immunity ⋮ Mathematical analysis of the effectiveness of control strategies to prevent the autorun virus transmission propagation ⋮ A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity

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