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Optimal Control Model for the Transmission of Novel COVID-19

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Computers, Materials & Continua 2021年第3期66卷 3089-3106页

作者： Isa Abdullahi Baba bashir Ahmad Nasidi Dumitru Baleanu Department of Mathematical Sciences Bayero University KanoNigeria Department of Mathematics Cankaya UniversityAnkara06530Turkey Institute of Space Sciences BucharestRomania Department of Medical Research China Medical University HospitalTaichungTaiwan

As the corona virus(COVID-19)pandemic ravages socio-economic activities in addition to devastating infectious and fatal consequences,optimal control strategy is an effectivemeasure that neutralizes the scourge to its lowest *** this paper,we present a mathematical model for the dynamics of COVID-19,and then we added an optimal control function to the model in order to effectively control the *** incorporate three main control efforts(isolation,quarantine and hospitalization)into the model aimed at controlling the spread of the *** efforts are further subdivided into five functions;u1(t)(isolation of the susceptible communities),u2(t)(contact track measure by which susceptible individuals with contact history are quarantined),u3(t)(contact track measure by which infected individualsare quarantined),u4(t)(control effort of hospitalizing the infected I1)and u5(t)(control effort of hospitalizing the infected I2).We establish the existence of the optimal control and also its characterization by applying Pontryaging maximum *** disease free equilibrium solution(DFE)is found to be locally asymptotically stable and subsequently we used it to obtain the key parameter;basic reproduction *** constructed Lyapunov function to which global stability of the solutions is *** simulations show how adopting the available control measures optimally,will drastically reduce the infectious populations.

关键词： COVID-19 optimal control Pontryaging maximum principle mathematical model existence of control stability analysis

Modelling and analysis of an 80-MW parabolic trough concentrated solar power plant in Sudan

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Clean Energy 2022年第3期6卷 512-527页

作者： Abdallah Adil Awad bashir MustafaÖzbey Department of Mechanical Engineering Ondokuz Mayis UniversitesiSamsun 55139Turkey

Concentrated solar power plants can play a significant role in alleviating Sudan’s energy *** plants can be established and implemented in Sudan,as their potential is considerably high due to the climate conditions in *** study investigates the design of a parabolic trough concentrated solar power plant in Sudan and analyzes its technical and economic *** simulation of the plant’s model used System Advisor Model(SAM)*** determine the best location for the construction of the plant,data from 15 cities in Sudan were compared with each other based on their solar radiation and land *** Halfa,a city in the northern region of Sudan,was chosen as the location due to its good topographical properties and climate *** results show that the proposed plant can generate 281.145 GWh of electricity annually with a capacity factor of 40.1%and an overall efficiency of 15%.Additionally,a simple cost analysis of the plant indicates a levelized cost of electricity of 0.155$/*** the study results are consistent with the characteristics of similar plants,the proposed plant is considered technically and economically feasible under the conditions at its location.

关键词： solar energy concentrated solar power parabolic trough collector System Advisor Model(SAM)simulation

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED TYPE INTEGRAL BOUNDARY CONDITIONS

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Acta Mathematica Scientia 2011年第6期31卷 2122-2130页

作者： bashir Ahmad Juan J. Nieto Ahmed Alsaedi Department of Mathematics Faculty of ScienceKing Abdulaziz University Departamento de Anlisis Matemtico Facultad de MatemticasUniversidad de Santiago de Compostela

In this paper, we study a boundary value problem of nonlinear fractional dif- ferential equations of order q （1 〈 q 〈 2） with non-separated integral boundary conditions. Some new existence and uniqueness results are obtained by using some standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also presented. We extend previous results even in the integer case q = 2.

关键词： fractional differential equations non-separated integral boundary conditions contraction principle Krasnoselskii's fixed point theorem LeraySchauder degree

A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

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Acta Mathematica Scientia 2016年第6期36卷 1631-1640页

作者： bashir AHMAD Sotiris K.NTOUYAS Jessada TARIBOON Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz University Department of Mathematics University of Ioannina Nonlinear Dynamic Analysis Research Center Department of MathematicsFaculty of Applied ScienceKing Mongkut’s University of Technology North Bangkok

In this paper, we discuss the existence of solutions for a nonlocal hybrid boundary value problem of Caputo fractional integro-differential equations. Our main result is based on a hybrid fixed point theorem for a sum... 详细信息

关键词： Caputo fractional derivative integral hybrid fixed point theorem

DYNAMICS OF A HEPATITIS B MODEL WITH SATURATED INCIDENCE

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Acta Mathematica Scientia 2018年第6期38卷 1731-1750页

作者： Liya LIU Daqing JIANG Tasawar HAYAT bashir AHMAD. School of Petroleum Engineering China University of Petroleum Qingdao 266580 China College of Science China University of Petroleum Qingdao 266580 China Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group King Abdulaziz University Jeddah Saudi Arabia Department of Mathematics Quaid-I-Azam University45320 Islamabad 44000 Pakistan

In this article, we present a hepatitis B epidemic model with saturated *** dynamic behaviors of the deterministic and stochastic system are studied. To thisend, we first establish the local and global stability conditions of the equilibrium of thedeterministic model. Second, by constructing suitable stochastic Lyapunov functions, thesufficient conditions for the existence of ergodic stationary distribution as well as extinctionof hepatitis B are obtained.

关键词： hepatitis B model Lyapunov function stability stationary distribution ex-tinction

Hydrological Response to Environment Change in Himalayan Watersheds: Assessment from Integrated Modeling Approach

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Journal of Mountain Science 2015年第4期12卷 972-982页

作者： Zulfiqar AHMAD Arshad ASHRAF Muhammad ZAHEER Humaira bashir Department of Earth Sciences Quaid-i-Azam University National Agricultural Research Center China University of Geosciences School of Environmental Studies

Land use changes such as deforestation,increase in cropping or grazing areas and built-up land, likely modify the water balance and land surface behavior in the Himalayan *** integrated approach of hydrological and hydraulic modeling was adopted for comparative analysis of hydrological pattern in three Himalayan watersheds ***,Rawal and Simly situated in the Northern territory of *** rainfall-runoff model SWAT- Soil and water assessment tool and Hydro CAD were calibrated for the selected *** correlation analysis of the precipitation data of two climate stations *** and Islamabad, with the discharge data of three rivers was utilized to select best suitable input precipitation data for Hydro CAD rainfall-runoff *** peak flood hydrograph were generated using Hydro CAD runoff to optimize the basin parameters like CN, runoff volume, peak flows of the three *** hydrological response of the Rawal watershed was studied as a case study to different scenarios of land use change using SWAT *** scenario of high deforestation indicated a decline of about 6.3% in the groundwater recharge tostream while increase of 7.1% in the surface runoff has been observed under the scenario of growth in urbanization in the recent *** integrated modeling approach proved helpful in investigating the hydrological behavior under changing environment at watershed level in the Himalayan region.

关键词： Hydrological modeling Deforestation Soan River Simly Khanpur watershed Land use

A predictor-corrector scheme for solving nonlinear fractional differential equations with uniform and nonuniform meshes

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International Journal of Modeling, Simulation, and Scientific Computing 2019年第5期10卷 108-142页

作者： Mohammad Javidi Mahdi Saedshoar Heris bashir Ahmad Faculty of Mathematical Sciences University of Tabriz TabrizIran Nonlinear Analysis and Applied Mathematics Research Group(NAAM)King Abdulaziz University P.O.Box 80203 Jeddah 21589Saudi Arabia

In this paper,we develop two algorithms for solving linear and nonlinear fractional differential equations involving Caputo *** designing new predictor–corrector(PC)schemes,we select the mesh points based on the two equal-height and equal-area ***,the error bounds of PC schemes with uniform and equidistributing meshes are ***,examples are constructed for illustrating the obtained PC schemes with uniform and equidistributing meshes.A comparative study is also presented.

关键词： meshes fractional uniform

A new multilevel voltage source inverter configuration with minimum number of circuit elements

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Journal of Central South University 2017年第4期24卷 912-920页

作者： Mohammad Reza Jannati Oskuee Masoumeh Karimi Yahya naderi Sajad Najafi Ravadanegh Seyyed Hossein Hosseini Smart Distribution Grid Research Lab. Electrical Engineering Department Azarbaijan Shahid Madani University Tabriz Iran Faculty of Electrical and Computer Engineering University of Tabriz Tabriz Iran

An advanced configuration for multilevel voltage source converters is proposed. The proposed converter is able to apply asymmetrical DC sources. The configuration of the proposed inverter is well designed in order to provide the maximum number of voltage levels in output terminals using lower number of circuit devices. The authority of the proposed inverter versus the conventional H-bridge cascaded inverter and the most recently introduced ones, is verified with a provided comparison study. The proposed inverter is able to generate the desired voltage levels using a lower number of circuit devices including power semi-conductor switches, IGBTs, diodes, related gate driver circuits of switches and DC voltage sources. As a result, the total cost and installation area are considerably reduced and the control scheme gets simpler. To confirm the feasibility of the proposed multilevel structure, both the simulation and experimental results are provided and compared which shows good agreements.

关键词： multilevel voltage source inverter reduction of circuit components symmetric inverter asymmetric inverter

Ti Impurity Effect on the Optical Coefficients in 2D Cu_2Si: A DFT Study

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Communications in Theoretical Physics 2018年第1期69卷 101-106页

作者： Bromand Nourozi Arash Boochani Ahmad Abdolmaleki Elmira Sartpi Pezhman Darabi Sirvan naderi Department of Physics Islamic Azad UniversityKermanshah Branch Department of Physics Lorestan University Young Researchers and Elite Club Kermanshah Branch Islamic Azad University

The electronic and optical properties of 2D Cu_2Si and Cu_2Si:Ti are investigated based on the density functional theory(DFT) using the FP-LAPW method and GGA approximation. The 2D Cu_2Si has metallic and non magnetic properties, whereas adding Ti impurity to its structure changes the electronic behavior to the half-metallic with 3.256μB magnetic moment. The optical transition is not occurred in the infrared and visible area for the 2D Cu_2Si in x-direction and by adding Ti atom, the real part of dielectric function in the x-direction, Re(ε(ω))_x is reached to a Dirac peak at this energy range. Moreover, the absorption gap tends to zero in x-direction of the 2D Cu_2Si:Ti.

关键词： 2D Cu2Si Ti impurity DFT optical property