Dynamical analysis and optimal control for a malware propagation model in an information network

2015 ◽  
Vol 149 ◽  
pp. 1370-1386 ◽  
Author(s):  
Linhe Zhu ◽  
Hongyong Zhao
Keyword(s):  
Optimal Control ◽  
Propagation Model ◽  
Dynamical Analysis ◽  
Information Network ◽  
Malware Propagation

scholarly journals Dynamical Analysis and Optimal Control for a SEIR Model Based on Virus Mutation in WSNs

Mathematics ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 929
Author(s):  
Guiyun Liu ◽  
Jieyong Chen ◽  
Zhongwei Liang ◽  
Zhimin Peng ◽  
Junqiang Li
Keyword(s):  
Optimal Control ◽  
Rapid Development ◽  
Hamiltonian Function ◽  
Propagation Model ◽  
Dynamical Analysis ◽  
Optimal Control Strategy ◽  
Epidemic Dynamics ◽  
Optimization Control ◽  
The Cost ◽  
The Pontryagin Maximum Principle

With the rapid development of science and technology, the application of wireless sensor networks (WSNs) is more and more widely. It has been widely concerned by scholars. Viruses are one of the main threats to WSNs. In this paper, based on the principle of epidemic dynamics, we build a SEIR propagation model with the mutated virus in WSNs, where E nodes are infectious and cannot be repaired to S nodes or R nodes. Subsequently, the basic reproduction number R0, the local stability and global stability of the system are analyzed. The cost function and Hamiltonian function are constructed by taking the repair ratio of infected nodes and the repair ratio of mutated infected nodes as optimization control variables. Based on the Pontryagin maximum principle, an optimal control strategy is designed to effectively control the spread of the virus and minimize the total cost. The simulation results show that the model has a guiding significance to curb the spread of mutated virus in WSNs.

scholarly journals Dynamical analysis and control strategies on malware propagation model

2013 ◽  
Vol 37 (16-17) ◽  
pp. 8225-8236 ◽  
Author(s):  
Liping Feng ◽  
Xiaofeng Liao ◽  
Qi Han ◽  
Huaqing Li
Keyword(s):  
Control Strategies ◽  
Propagation Model ◽  
Dynamical Analysis ◽  
Malware Propagation ◽  
And Control

scholarly journals On the Optimal Control of a Malware Propagation Model

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1518
Author(s):  
Jose Diamantino Hernández Guillén ◽  
Ángel Martín del Rey ◽  
Roberto Casado Vara
Keyword(s):  
Optimal Control ◽  
Control Measure ◽  
Propagation Model ◽  
Control Measures ◽  
Basic Reproductive Number ◽  
Reproductive Number ◽  
Security Measures ◽  
Epidemic Process ◽  
Malware Propagation ◽  
Prevention Measure

An important way considered to control malware epidemic processes is to take into account security measures that are associated to the systems of ordinary differential equations that governs the dynamics of such systems. We can observe two types of control measures: the analysis of the basic reproductive number and the study of control measure functions. The first one is taken at the beginning of the epidemic process and, therefore, we can consider this to be a prevention measure. The second one is taken during the epidemic process. In this work, we use the theory of optimal control that is associated to systems of ordinary equations in order to find a new function to control malware epidemic through time. Specifically, this approach is evaluate on a particular compartmental malware model that considers carrier devices.

scholarly journals Optimal control measures for a susceptible‐carrier‐infectious‐recovered‐susceptible malware propagation model

2019 ◽  
Vol 40 (4) ◽  
pp. 691-702 ◽  
Author(s):  
João N.C. Gonçalves ◽  
Helena Sofia Rodrigues ◽  
M. Teresa T. Monteiro
Keyword(s):  
Optimal Control ◽  
Propagation Model ◽  
Control Measures ◽  
Malware Propagation

scholarly journals Dynamical Analysis of a Viral Infection Model with Delays in Computer Networks

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Zizhen Zhang ◽  
Huizhong Yang
Keyword(s):  
Hopf Bifurcation ◽  
Propagation Model ◽  
Dynamical Analysis ◽  
Infection Model ◽  
Virus Propagation ◽  
Normal Form Theory ◽  
Center Manifold Theorem ◽  
Form Theory ◽  
Two Delays ◽  
The Stability

This paper is devoted to the study of an SIRS computer virus propagation model with two delays and multistate antivirus measures. We demonstrate that the system loses its stability and a Hopf bifurcation occurs when the delay passes through the corresponding critical value by choosing the possible combination of the two delays as the bifurcation parameter. Moreover, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are determined by means of the center manifold theorem and the normal form theory. Finally, some numerical simulations are performed to illustrate the obtained results.

Dynamical analysis of a class of hepatitis C virus infection models with application of optimal control

2016 ◽  
Vol 09 (03) ◽  
pp. 1650038 ◽  
Author(s):  
Aida Mojaver ◽  
Hossein Kheiri
Keyword(s):  
Optimal Control ◽  
Hepatitis C Virus ◽  
Hepatitis C ◽  
Deterministic Model ◽  
Treatment Strategies ◽  
Dynamical Analysis ◽  
Existence And Stability ◽  
Direct Cell ◽  
Infected Cells ◽  
The Impact

In this paper, we deal with the problem of optimal control of a deterministic model of hepatitis C virus (HCV). In the first part of our analysis, a mathematical modeling of HCV dynamics which can be controlled by antiretroviral therapy as fixed controls has been presented and analyzed which incorporates two mechanisms: infection by free virions and the direct cell-to-cell transmission. Basic reproduction number is calculated and the existence and stability of equilibria are investigated. In the second part, the optimal control problem representing drug treatment strategies of the model is explored considering control parameters as time-dependent in order to minimize not only the population of infected cells but also the associated costs. At the end of the paper, the impact of combination of the strategies in the control of HCV and their effectiveness are compared by numerical simulation.

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