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Mc Kean–Vlasov BSDEs with Locally Monotone Coefficient

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Acta Mathematica Sinica,English Series 2023年第7期39卷 1414-1424页

作者： Brahim BOUFOUSSI soufiane MOUCHTABIH LIBMA Faculty of Sciences SemlaliaCadi Ayyad University2390 MarrakeshMorocco École Supérieure de Technologie d'El Kelaa des Sraghna UniversitéCadi AyyadRoute de Béni Mellal Km 8 B.P.104El Kelaa des SraghnaMorocco

We consider a McKean Vlasov backward stochastic differential equation(MVBSDE) of the form Y_(t)=-F(t,Y_(t),Z_(t),[Y_(t)]) dt+Z_(t) dB_(t),Y_(T)=ξ,where [Y_(t)] stands for the law of Y,.We show that if F is locally monotone in y,locally Lipschitz with respect to z and law's variable,and the monotonicity and Lipschitz constants κ_(n),L_(n) are such that L_(n)^(2)+κ_(n)^(+)=O(log(N)),then the MVBSDE has a unique stable solution.

关键词： McKean–Vlasov BSDE locally monotone coefficient stability

Integrating Tabu Search in Particle Swarm Optimization for the Frequency Assignment Problem

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China Communications 2016年第3期13卷 137-155页

作者： Houssem Eddine hadji Malika Babes Department of Computer Science Badji Mokhtar-Annaba University

In this paper, we address one of the issues in the frequency assignment problem for cellular mobile networks in which we intend to minimize the interference levels when assigning frequencies from a limited frequency spectrum. In order to satisfy the increasing demand in such cellular mobile networks, we use a hybrid approach consisting of a Particle Swarm Optimization(PSO) combined with a Tabu Search(TS) algorithm. This approach takes both advantages of PSO efficiency in global optimization and TS in avoiding the premature convergence that would lead PSO to stagnate in a local minimum. Moreover, we propose a new efficient, simple, and inexpensive model for storing and evaluating solution's assignment. The purpose of this model reduces the solution's storage volume as well as the computations required to evaluate thesesolutions in comparison with the classical model. Our simulation results on the most known benchmarking instances prove the effectiveness of our proposed algorithm in comparison with previous related works in terms of convergence rate, the number of iterations, the solution storage volume and the running time required to converge to the optimal solution.

关键词： frequency assignment problem particle swarm optimization tabu search convergence acceleration

The effects of light illuminance and correlated color temperature on mood and creativity

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Building Simulation 2021年第3期14卷 463-475页

作者： Li Lan Sarra hadji Lulu Xia Zhiwei Lian Department of Architecture School of DesignShanghai Jiao Tong UniversityShanghai200240China

The lighting environment is one of the indoor environmental factors that may influence *** combined effects of illumination(300 lx vs.2000 lx)and color temperature(3000 K vs.6000 K)on mood and creativity were investigated in 24 *** exposure,participants completed questionnaires to assess their mood and lighting perceptions,performed creative and analytical tasks,and collected saliva samples for analysis of melatonin *** interactive effect of illuminance and color temperature on the mood was *** participants performed better on the performance of Flexibility,Fluency and Originality in the verbal creative task when they expressed higher positive mood(at 2000 lx,6000 K and 300 lx,3000 K)and performed better on the performance of Resistance to closure in the figural creative task when they reported the lowest positive mood(at 2000 lx,3000 K).Analytical thinking,including calculation and echoic memory skills,was facilitated at the lighting setting(300 lx,6000 K)that induced the least affective *** significant difference in melatonin concentration was *** evidence implies that the affective state of the occupants was influenced by light and that their creative performance was altered *** findings will help to elaborate a design guideline on the lighting environment according to the specific needs of different tasks.

关键词： lighting color temperature illumination mood creativity productivity

Backward,Hopf bifurcation in a heroin epidemic model with treat age

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International Journal of Modeling, Simulation, and Scientific Computing 2021年第2期12卷 198-222页

作者： soufiane Bentout Salih Djilali Behzad Ghanbari Laboratoire d’Analyse Non Lin´eaire et Math´ematiques Appliqu´ees Universit´e de Tlemcen TlemcenAlgeria Department of Basic Science Kermanshah University of Technology KermanshahIran Faculty of Exact and Computer Sciences Mathematic Department Hassiba Benbouali UniversityChlefAlgeria §Department of Mathematics and Informatics Belhadj Bouchaib University Center of Ain Temouchent BP 284 RP 46000Algeria

Heroin is considered as damage on the health of the *** this paper,we consider a heroin epidemic model with treat age,where the inner rivalry in between the drug users for a small dose of drugs is *** influence of treatment period for a drug consumer before quitting treatment is investigated,where it is obtained that the considered model can undergo backward bifurcation,which shows the possibility of having two endemic equilibriums,this type of bifurcation is discussed in terms of the basic reproduction number *** bifurcation diagram is drown in the case of an age structured ***,we show the existence of Hopf bifurcation is shown under suitable conditions on the model *** obtained mathematical results are confirmed numerically.

关键词： Backward bifurcation heroin epidemic age-structured model Hopfbifurcation

Global threshold dynamics of an age structured alcoholism model

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International Journal of Biomathematics 2021年第3期14卷 153-186页

作者： soufiane Bentout Salih Djilali Abdenasser Chekroun Laboratoire d'Analyse Non Linéaire et Mathématiques Appliquées University of TlemcenTlemcen 13000Algeria Department of Mathematics and Informatics Belhadj Bouchaib University Center of Ain TemouchentAin Temouchent 46OOOAlgeria Faculty of Exact and Computer Sciences Mathematic DepartmentHassiba Benbouali UniversityChiefAlgeria University of Abou Bekr Belkaid Tlemcen Tlemcen 13000Algeria

We consider in this research an age-structured alcoholism *** global behavior of the model is *** is proved that the system has a threshold dynamics in terms of the basic reproduction number(BRN),where we obtained that alcohol-free equilibrium(AFE)is globally asymptotically stable(GAS)in the case R_(0)≤1,but for R_(0)>1 we found that the system persists and the nontrivial equilibrium(EE)is ***,the effects of the susceptible drinkers rate and the repulse rate of the recovers to alcoholics are investigated,which allow us to provide a proper strategy for reducing the spread of alcohol use in the studied *** obtained mathematical results are tested numerically next to its biological relevance.

关键词： Mathematical biology age-structured partial differential equations alcohol model uniform persistence global behavior Lyapunov function

Bending and Free Vibration Analysis of Porous-Functionally-Graded(PFG)Beams Resting on Elastic Foundations

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Fluid Dynamics & Materials Processing 2023年第4期19卷 1043-1054页

作者： Lazreg hadji Fabrice Bernard Nafissa Zouatnia Laboratory of Geomatics and Sustainable Development University of TiaretTiaret14000Algeria Department of Mechanical Engineering University of TiaretTiaret14000Algeria INSA Rennes Laboratory of Civil Engineering and Mechanical EngineeringRennes35043France Department of Civil Engineering University of TiaretTiaret14000Algeria

The bending and free vibration of porous functionally graded(PFG)beams resting on elastic foundations are *** material features of the PFG beam are assumed to vary continuously through the thickness according to the volume fraction of *** foundation medium is also considered to be linear,homogeneous,and isotropic,and modeled using the Winkler-Pasternak *** hyperbolic shear deformation theory is applied for the kinematic relations,and the equations of motion are obtained using the Hamilton’s *** analytical solution is presented accordingly,assuming that the PFG beam is simply *** with the open literature are implemented to verify the validity of such a *** effects of the elastic foundations,porosity volume percentage and span-to-depth ratio are finally discussed in detail.

关键词： Bending free vibration porosity functionally graded material winkler-pasternak elastic foundation

Implications of turbulent shear on clay floc break-up along the Atlantic estuary(Bouregreg),Morocco

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International Journal of Sediment Research 2022年第2期37卷 248-257页

作者： Krishnamoorthy Lakshmi Ammal Priya soufiane Haddout Joan Cecilia Catubig Casila Department of Civil Engineering TKM College of Engineering Department of Physics Faculty of Science Ibn Tofail University Land and Water Resources Division IABE CEAT University of the Philippines Los Ba?os

Water depth,salinity,current,and suspended sediment concentration(SSC) were measured along with the grain size distribution of bed sediment along an estuarine longitudinal *** floc size increased with increase in the percentage of clay and silt,while decreased with increase in the percentage of sand content of bed *** turbulent shear,G,had a direct effect on floc size with its value increasing with increase in G up to a G value of 15 s,while an inverse relation existed between floc size and G at higher G(C> 15 s).Further,higher turbulence enabled sand to get resuspended and cause additional shear leading to the break-up of *** attempt was made to modify G to account for the combined effect of water turbulence(C) and shear imparted by sand(C) and the impact of the modification of G on the predictability of floc size was evaluated.A new model was developed which explains floc size in terms of sediment concentration(C),salinity gradient(S),and G for different scenarios based on the value of *** analysis was done for observed floc size(FS) and predicted floc size using four approaches:(Ⅰ) FS β C~χ;(Ⅱ) FS α C~χS;(Ⅲ) FS α C~χSG~z for G 15 s; and(Ⅳ) FS α C~χSGfor G> 15 sand G=G+G,where x,y,and z are determined by *** was observed that the predictability of the floc size improved when the turbulence was modified to account for shear imparted by sand so that the coefficient of determination was increased from 0.78 for model Ⅲ to 0.89 for model Ⅳ.Further,the settling velocity was expressed as a function of suspended sediment concentration,turbulent shear,and salinity *** predictability of settling velocity was improved(R~2 increased from 0.77 to 0.86) when the additional turbulence created by sand was incorporated in the non-dimensional empirical *** study highlights the influence of sand in causing the break-up of flocs and suggests that for turbulence shear values high enough to resuspend

关键词： Floc size Settling velocity Turbulent shear Non-cohesive sediment Bouregreg estuary Morocco

ASYMPTOTICS OF THE CROSS-VARIATION OF YOUNG INTEGRALS WITH RESPECT TO A GENERAL SELF-SIMILAR GAUSSIAN PROCESS

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Acta Mathematica Scientia 2020年第6期40卷 1941-1960页

作者： Soukaina DOUISSI Khalifa ES-SEBAIY soufiane MOUSSATEN Laboratory LIBMA Faculty SemlaliaUniversity Cadi Ayyad40000 MarrakechMorocco Department of Statistics and Probability Michigan State UniversityEast LansingMI 48824USA Department of Mathematics Faculty of ScienceKuwait UniversityKuwait Faculty of Sciences Mohamed first University OujdaMorocco

We show in this work that the limit in law of the cross-variation of processes having the form of Young integral with respect to a general self-similar centered Gaussian process of orderβ∈(1/2,3/4]is normal according to the values ofβ.We apply our results to two self-similar Gaussian processes:the subfractional Brownian motion and the bifractional Brownian motion.

关键词： self-similar Gaussian processes Young integral Breuer-Major theorem subfractional Brownian motion bifractional Brownian motion

Impact of predation in the spread of an infectious disease with time fractional derivative and social behavior

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International Journal of Modeling, Simulation, and Scientific Computing 2021年第4期12卷 92-119页

作者： soufiane Bentout Behzad Ghanbari Salih Djilali Lakshmi Narayan Guin Department of Mathematics and Informatics Belhadj Bouchaib University Center of Ain Temouchent BP 284 RP 46000Algeria Laboratoire d’Analyse Non Linaire et Mathmatiques Appliques Universit de Tlemcen TlemcenAlgeria Department of Engineering Science Kermanshah University of Technology KermanshahIran Department of Biomedical Engineering Faculty of Engineering and Naturel Sciences Bah¸ce¸sehir University 34349 IstanbulTurkey Faculty of Exact and Computer Sciences Mathematic Department Hassiba Benbouali University ChlefAlgeria Department of Mathematics Visva-Bharati Santiniketan-731235 West BengalIndia

The main purpose of this paper is to explore the influence of predation on the spread of a disease developed in the prey population where we assume that the prey has a social *** memory of the prey and the predator measured by the time fractional derivative plays a crucial role in modeling the dynamical response in a predator–prey *** memory can be modeled to articulate the involvement of interacting species by the presence of the time fractional derivative in the considered *** the purpose of studying the complex dynamics generated by the presence of infection and the time-fractional-derivative we split our study into two cases. The first one is devotedto study the effect of a non-selective hunting on the spread of the disease, where the localstability of the equilibria is investigated. Further the backward bifurcation is obtainedconcerning basic reproduction rate of the infection. The second case is for explaining theimpact of selecting the weakest infected prey on the edge of the herd by a predator onthe prevalence of the infection, where the local behavior is scrutinized. Moreover, for thegraphical representation part, a numerical simulation scheme has been achieved usingthe Caputo fractional derivative operator.

关键词： Predator–prey model herd behavior fractional derivative numerical schema backward bifurcation eco-epidemiological model