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 Optimal control strategy for a HIV infection model via fourier series

2013 ◽  
Vol 9 (2) ◽  
pp. 87-94 ◽  
Keyword(s):  
Optimal Control ◽  
Fourier Series ◽  
Nonlinear System ◽  
Treatment Protocol ◽  
Infection Model ◽  
Operational Matrices ◽  
Algebraic Equations ◽  
Optimal Control Strategy ◽  
Hiv Infection Model ◽  
The Cost

Abstract This paper proposes an optimal control problem, with the final goal of implementing an optimal treatment protocol which could maximize the uninfected CD4+T cells and minimize the cost of drug, utilizing a system of ordinary differential equations which describes the interaction of the immune system with the human immunodeficiency virus(HIV). The optimal pair of control and trajectories of this nonlinear system with quadratic cost functional is obtained by Fourier series approximation. The method is based upon expanding time varying functions in the nonlinear system as their Fourier series, using the operational matrices for integration and product. The problem is reduced into a set of algebraic equations

scholarly journals Data-Driven Optimization Control for Dynamic Reconfiguration of Distribution Network

Energies ◽  
2018 ◽  
Vol 11 (10) ◽  
pp. 2628 ◽  
Author(s):  
Dechang Yang ◽  
Wenlong Liao ◽  
Yusen Wang ◽  
Keqing Zeng ◽  
Qiuyue Chen ◽  
...  
Keyword(s):  
Optimal Control ◽  
Control Strategy ◽  
Distribution Network ◽  
Dynamic Reconfiguration ◽  
Complex Model ◽  
Data Driven ◽  
Optimal Control Strategy ◽  
Current Case ◽  
Optimization Control ◽  
Conventional Methods

To improve the reliability and reduce power loss of distribution network, the dynamic reconfiguration is widely used. It is employed to find an optimal topology for each time interval while satisfying all the physical constraints. Dynamic reconfiguration is a non-deterministic polynomial problem, which is difficult to find the optimal control strategy in a short time. The conventional methods solved complex model of dynamic reconfiguration in different ways, but only local optimal solutions can be found. In this paper, a data-driven optimization control for dynamic reconfiguration of distribution network is proposed. Through two stages that include rough matching and fine matching, the historical cases which are similar to current case are chosen as candidate cases. The optimal control strategy suitable for the current case is selected according to dynamic time warping (DTW) distances which evaluate the similarity between the candidate cases and the current case. The advantage of the proposed approach is that it does not need to solve complex model of dynamic reconfiguration, and only uses historical data to obtain the optimal control strategy for the current case. The cases study shows that the optimization results and the computation time of the proposed approach are superior to conventional methods.

scholarly journals A Virus Propagation Model and Optimal Control Strategy in the Point-to-Group Network to Information Security Investment

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Liping Feng ◽  
Ruifeng Han ◽  
Hongbin Wang ◽  
Qingshan Zhao ◽  
Chengli Fu ◽  
...  
Keyword(s):  
Optimal Control ◽  
Control Measure ◽  
Propagation Model ◽  
Information Networks ◽  
Virus Spread ◽  
Control Cost ◽  
Optimal Control Strategy ◽  
Virus Propagation ◽  
Spread Model ◽  
Group Information

Epidemiological dynamics is a vital method in studying the spread of computer network viruses. In this paper, an optimal control measure is proposed based on the SEIR virus propagation model in point-to-group information networks. First, considering the need for antivirus measures in reality, an optimal control problem is introduced, and then a controlled computer virus spread model in point-to-group information networks is established. Second, the optimal control measure is formulated by making a tradeoff between control cost and network loss caused by virus intrusion. Third, optimal control strategies are theoretically investigated by Pontryagin’s maximum principle and the Hamiltonian function. Finally, through numerical simulations, effective measures for controlling virus spread in point-to-group information networks are proposed.

scholarly journals The Optimal Control Strategy of Virus Transmission Based on Caputo-Fabrizio Order

2021 ◽  
Vol 9 ◽  
Author(s):  
Liangli Yang ◽  
Yongmei Su ◽  
Xue Yang ◽  
Zhen Wang
Keyword(s):  
Optimal Control ◽  
Hepatitis B ◽  
Virus Transmission ◽  
Real Data ◽  
Infection Model ◽  
Optimal Control Strategy ◽  
Optimal Therapy ◽  
Therapy Strategy ◽  
B Virus ◽  
The Cost

Hepatitis B virus (HBV) is a serious threat to human health as it can cause the chronic hepatitis B, and eventually liver cancer. It also has become one of the major threats to public health in the world. In this paper, considering the rationality of using standard incidence in Caputo-Fabrizio fractional order HBV infection model, we propose a model with standard incidence. The analysis of local stability about the equilibrium and the simulation of global stability are given. We also use the real data to estimate the parameters of this model. The simulation results can fit the data well. Moreover, we propose an optimal control model and give the optimal therapy strategy, which show that optimal therapy can reduce the cost and side effects while ensuring the therapeutic effect.

scholarly journals ANALISIS KUALITAS SINYAL PADA JARINGAN LONG TERM EVOLUTION (LTE) MENGGUNAKAN DATA DRIVE TEST CLUSTER

2019 ◽  
Vol 6 (1) ◽  
pp. 52
Author(s):  
I Wayan Mardika ◽  
Gede Sukadarmika ◽  
Pande Ketut Sudiarta
Keyword(s):  
Correction Factor ◽  
Rapid Development ◽  
Quality Parameters ◽  
Propagation Model ◽  
Signal Quality ◽  
Propagation Models ◽  
Cluster Area ◽  
Comparison Results ◽  
The Cost

The rapid development of cellular communication technology is inseparable from various problems especially on signal quality. In outdoor areas, the performance of eNodeB that is not optimal may cause communication failure. This research was conducted with the drive test on the L_BUNDARANRENON_PL, L_AKABA_PL and L_MYAMIN_CR to obtain signal quality parameters at Renon cluster area. The results of the drive test obtained compared to the simulation using the Atoll radio planning software with the Hatta Cost-231 propagation model and the Standard Propagation Model. From the comparison results, the margin value is used as a correction factor. The comparison results obtained based on the quality of SINR, The result of using the Standard Propagation Model is closer to the drive test measurement results than using Cost-231 Hatta. However, based on the quality of RSRQ, both propagation models yield almost the same results. Here are found that the correction factor for SINR obtained the Cost-231 Hatta propagation model of 6.15 dB and the Standard Propagation Model model of 6.11 dB. While for RSRQ correction factor the margin for both propagation models is -2 dB

scholarly journals Optimal Control of a Delay-Varying Computer Virus Propagation Model

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Jianguo Ren ◽  
Yonghong Xu ◽  
Chunming Zhang
Keyword(s):  
Optimal Control ◽  
Control Strategy ◽  
Latency Period ◽  
Computer Virus ◽  
Propagation Model ◽  
Optimal Control Strategy ◽  
Virus Propagation ◽  
Virus Model ◽  
Novel Model ◽  
Computer Virus Propagation Model

By incorporating the objective of keeping a low number of infected nodes and a high number of recovered nodes at a lower cost into a known computer virus model (the delay-varying SIRC model) extended by introducing quarantine, a novel model is described by means of the optimal control strategy and theoretically analyzed. Through the comparison of simulation results, it is shown that the propagation of computer virus with varying latency period can be suppressed effectively by the optimal control strategy.

scholarly journals Age-structured non-pharmaceutical interventions for optimal control of COVID-19 epidemic

2021 ◽  
Vol 17 (3) ◽  
pp. e1008776
Author(s):  
Quentin Richard ◽  
Samuel Alizon ◽  
Marc Choisy ◽  
Mircea T. Sofonea ◽  
Ramsès Djidjou-Demasse
Keyword(s):  
Optimal Control ◽  
Burkina Faso ◽  
Control Strategy ◽  
Contact Tracing ◽  
Host Age ◽  
Optimal Control Strategy ◽  
Age Structured ◽  
The Cost ◽  
Original Approach ◽  
Pharmaceutical Interventions

In an epidemic, individuals can widely differ in the way they spread the infection depending on their age or on the number of days they have been infected for. In the absence of pharmaceutical interventions such as a vaccine or treatment, non-pharmaceutical interventions (e.g. physical or social distancing) are essential to mitigate the pandemic. We develop an original approach to identify the optimal age-stratified control strategy to implement as a function of the time since the onset of the epidemic. This is based on a model with a double continuous structure in terms of host age and time since infection. By applying optimal control theory to this model, we identify a solution that minimizes deaths and costs associated with the implementation of the control strategy itself. We also implement this strategy for three countries with contrasted age distributions (Burkina-Faso, France, and Vietnam). Overall, the optimal strategy varies throughout the epidemic, with a more intense control early on, and depending on host age, with a stronger control for the older population, except in the scenario where the cost associated with the control is low. In the latter scenario, we find strong differences across countries because the control extends to the younger population for France and Vietnam 2 to 3 months after the onset of the epidemic, but not for Burkina Faso. Finally, we show that the optimal control strategy strongly outperforms a constant uniform control exerted over the whole population or over its younger fraction. This improved understanding of the effect of age-based control interventions opens new perspectives for the field, especially for age-based contact tracing.

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