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The global stability and optimal control of the COVID-19 epidemic model

International Journal of Biomathematics 2024年第1期17卷 1-28页

作者： Fengsheng Chien hassan saberi nik Mohammad Shiraziant J.F.Gomez-Aguilar School of Finance and Accounting Fuzhou University of International Studies and Trade Fuzhou 352020 P.R.China Faculty of Business City university of Macao Macao 999078P.R.China Department of Mathematics and Statistics University of Neyshabur NeyshaburIran CONACyT-Tecnologico Nacional de Mécico/CENIDET Interior Internado Palmira S/N Col.Palmira C.P.62490CuernavacaMorelosMérico

This paper considers stability analysis of a Susceptible-Exposed-Infected-Recovered-Virus(SEIRV)model with nonlinear incidence rates and indicates the severity and weakness of control factors for disease *** Lyapunov function using Volterra-Lyapunov matrices makes it possible to study the global stability of the endemic equilibrium *** optimal control strategy is proposed to prevent the spread of coronavirus,in addition to governmental *** objective is to minimize together with the quantity of infected and exposed individuals while minimizing the total costs of treatment.A numerical study of the model is also carried out to investigate the analytical results.

关键词： Global stability SEIRV epidemic model dynamical systems Volterra-Lyapunov stability optimal control

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A Spectral Method for the Electrohydrodynamic Flow in a Circular Cylindrical Conduit

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Chinese Annals of Mathematics,Series B 2015年第2期36卷 307-322页

作者： Mohsen MOGHTADAEI hassan saberi nik Saeid ABBASBANDY Department of Mathematics Imam Khomeini International University Young Researchers and Elite Club Neyshabur Branch Islamic Azad University

This paper presents a combination of the hybrid spectral collocation technique and the spectral homotopy analysis method(SHAM for short) for solving the nonlinear boundary value problem(BVP for short) for the electrohydrodynamic flow of a fluid in an ion drag configuration in a circular cylindrical conduit. The accuracy of the present solution is found to be in excellent agreement with the previously published solution. The authors use an averaged residual error to find the optimal convergence-control parameters. Comparisons are made between SHAM generated results, results from literature and Matlab ode45 generated results, and good agreement is observed.

关键词： Spectral collocation Spectral homotopy analysis method Optimal convergence-control parameters Electrohydrodynamic flow

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On the Homotopy Analysis Method and Optimal Value of the Convergence Control Parameter: Solution of Euler-Lagrange Equation

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Applied Mathematics 2012年第8期3卷 873-881页

作者： Jafar saberi-Nadjafi Reza Buzhabadi hassan saberi nik Department of Applied Mathematics School of Mathematical Sciences Ferdowsi University of Mashhad Mashhad Iran

This paper presents, an efficient approach for solving Euler-Lagrange Equation which arises from calculus of variations. Homotopy analysis method to find an approximate solution of variational problems is proposed. An optimal value of the convergence control parameter is given through the square residual error. By minimizing the the square residual error, the optimal convergence-control parameters can be obtained. It is showed that the homotopy analysis method was valid and feasible to the study of variational problems.

关键词： Homotopy Analysis Method Calculus of Variations Variational Problems Euler-Lagrange Equation Square Residual Error

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