University of GuilanJournal of Mathematical Modeling2345-394X6220181201A new outlier detection method for high dimensional fuzzy databases based on LOF123136283010.22124/jmm.2018.8102.1108ENAlirezaFakharzadeh JahromiDepartment of Applied Mathematics, Shiraz University of Technology, Shiraz, Iran & Fars Elites Foundation, Shiraz, Iran, P.O. Box 71966-98893ZahraEbrahimi MimandPayamNoor University, Shiraz Branch, shiraz, IranJournal Article19700101Despite the importance of fuzzy data and existence of many powerful methods for determining crisp outliers, there are few approaches for identifying outliers in fuzzy database. In this regard, the present article introduces a new method for discovering outliers among a set of multidimensional data. In order to provide a complete fuzzy strategy, first we extend the density-based local outlier factor method (LOF), which is successfully applied for identifying multidimensional crisp outliers. Next, by using the left and right scoring defuzzyfied method, a fuzzy data outlier degree is determined. Finally, the efficiency of the method in outlier detection is shown by numerical examples.University of GuilanJournal of Mathematical Modeling2345-394X6220181201Existence and uniqueness of integrable solutions of fractional order initial value equations137148291710.22124/jmm.2018.9971.1147ENBhausahebSontakkeDepartment of Mathematics, Poona College of Arts, Science and Commerce, Camp, Pune, India & Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser 11991, Saudi ArabiaAmjadShaikhDepartment of Mathematics, Pratishthan Mahavidyalaya, Paithan, Aurangabad, India0000-0003-4829-1698KottakkaranNisarDepartment of Mathematics, Poona College of Arts, Science and Commerce, Camp, Pune, India & Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser 11991, Saudi ArabiaJournal Article20180316This paper is devoted to investigate some existence and uniqueness results of integrable solutions for nonlinear fractional order initial value differential equations involving Caputo operator. We develop the existence of integral solution using Schauder's fixed point theorem. In addition, by applying the Banach contraction principle, we establish uniqueness result. To illustrate the applicability of main results, two examples are presented.University of GuilanJournal of Mathematical Modeling2345-394X6220181201A mathematical modeling of pulsatile blood flow through a stenosed artery under effect of a magnetic field149164292710.22124/jmm.2018.9259.1137ENAhmad RezaHaghighiDepartment of Mathematics, Faculty of shahid beheshti, Urmia Branch Technical and Vocational University(TVU), Tehran, IranNooshinAliashrafiFaculty of mathematical science, Urmia University of Technology, Urmia, IranJournal Article20171212A mathematical model for two-dimensional pulsatile blood flow through a constriction vessels under magnetic field and body acceleration is numerically simulated. The artery considered as an elastic cylindrical tube and the geometry of the constriction assumed to time-dependent with an aim to provide resemblance to the in-vivo situations. The blood flow considered nonlinear, incompressible and fully developed. The nonlinear momentum and the continuity equations under suitable initial and boundary conditions can be numerically solved using the Crank-Nicolson scheme. The blood flow specifications such as the velocity profile, the volumetric flow rate and the resistance to flow are obtained and effects of the magnetic field and the severity of the stenosis under these flow specifications are discussed. Besides the blood flow characteristics through elastic artery have been compared with the rigid ones.University of GuilanJournal of Mathematical Modeling2345-394X6220181201Mathematical modeling of the migration's effect and analysis of the spreading of a cholera epidemic165186296110.22124/jmm.2018.8861.1128ENEricKokomoDepartment of Mathematics, Faculty of Science, Laboratory of Mathematics and Fundamental Applications, P.O. Box 812 Yaounde, University of Yaounde I, Cameroon and
African Center of Excellence in Technologies,
Information and Communication (CETIC) University of Yaounde I, CameroonYvesEmvuduDepartment of Mathematics, Faculty of Science, Laboratory of Mathematics and Fundamental Applications, P.O. Box 812 Yaounde, University of Yaounde I, Cameroon and
African Center of Excellence in Technologies,
Information and Communication (CETIC) University of Yaounde I, CameroonJournal Article20171029We propound a mathematical modeling of the migration's effect on the size of any population dynamic from a site of a heterogeneous space $Omegasubset textbf{R}^{d}$, $d=1,2,ldots$. The obtained model is afterwards added at SIR model including the dynamics of the bacteria and some control parameters to model the spreading of a cholera epidemic which occurs in $Omega$. The formulated model is given by a system of four parabolic partial differential equations. Existence and stability of equilibria, Turing's instability and optimal control problem of this model are studied. We finish with a real-world application in which we apply the model specifically to the cholera epidemic that took place in Cameroon in $2011$.University of GuilanJournal of Mathematical Modeling2345-394X6220181201Inverse eigenvalue problem of interval nonnegative matrices of order $le 3$187194296210.22124/jmm.2018.10836.1171ENAlimohammadNazariDepartment of Mathematics, Arak university, Arak, Iran0000-0002-3231-0340MaryamZeinaliDepartment of Mathematics, Shahid Rajaee University, Lavizan, Tehran, IranHamidMesgaraniDepartment of Mathematics, Shahid Rajaee University, Lavizan, Tehran, Iran0000-0001-7002-5922Journal Article20180714In this paper for a given set of real or complex interval numbers $sigma$ satisfying special conditions, we find an interval nonnegative matrix $C$ such that for each point set $delta$ of given interval spectrum $sigma$, there exists a point matrix $A$ of $C$ such that $delta$ is its spectrum. We also study some conditions for the solution existence of the problem.University of GuilanJournal of Mathematical Modeling2345-394X6220181201Analysis of mixed priority retrial queueing system with two way communication and working breakdown195212297310.22124/jmm.2018.10323.1154ENAyyappanGovindanFaculty and Head of Mathematics, Pondicherry Engineering College, IndiaUdayageethaJayarajFaculty of Mathematics, Perunthalaivar Kamarajar Arts College, IndiaJournal Article20180508Incoming calls are arrive at the service system according to compound Poisson process. During the idle time, the server making an outgoing call with an exponentially distributed time. If the incoming call that finds the server busy will join an orbit. Here we use mixed priority services i.e., an arriving call may interrupt the service of an outgoing call or join the retrial queue (orbit). The server takes Bernoulli vacation. The server may become inactive due to normal as well as abnormal breakdown. After the completion of service, vacation and repair the server is in idle state. We consider reneging to occur at the orbit. Using supplementary variable technique, the stability condition is derived.University of GuilanJournal of Mathematical Modeling2345-394X6220181201An $M^{[X]}/G(a,b)/1$ queue with unreliable server, re-service on server's decision, balking and Bernoulli vacation schedule under multiple vacation policy213238297410.22124/jmm.2018.10344.1156ENAyyappanGovindanDepartment of Mathematics, Pondicherry Engineering College, Puducherry, IndiaNirmalaMarimuthuDepartment of Mathematics, Pondicherry Engineering College, Puducherry, India0000-0001-5019-3494Journal Article20180511This paper deals with a non-Markovian batch arrival bulk service queue with unreliable server, re-service on server's decision, Bernoulli vacation schedule under multiple vacation and balking. We consider that the server is unreliable and may stop working due to failure. When this happens, the service is interrupted and restarted after repair. The service time, vacation time, re-service time and repair time assume to follow a general (arbitrary) distribution. In the proposed model, we derived the probability distribution of queue size at a random and departure epoch using supplementary variable techniques. Finally, some performance measures, particular cases and numerical results are obtained.University of GuilanJournal of Mathematical Modeling2345-394X6220181201On the mild solution for nonlocal impulsive fractional semilinear differential inclusion in Banach spaces239258300910.22124/jmm.2018.10981.1177ENNawal A.AlsaroriDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004(MS), IndiaKirtiwant P.GhadleDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004(MS), IndiaJournal Article20180801This paper gives existence results for impulsive fractional semilinear differential inclusions involving Caputo derivative in Banach spaces. We are concerned with the case when the linear part generates a semigroup not necessarily compact, and the multivalued function is upper semicontinuous and compact. The methods used throughout the paper range over applications of Hausdorff measure of noncompactness, and multivalued fixed point theorems. Finally, we provide an example to clarify our results.University of GuilanJournal of Mathematical Modeling2345-394X6220181201A multi objective model for maximizing immunogenicity level of vaccination while minimizing cost and extra-immunization259274301010.22124/jmm.2018.7695.1102ENAhmadMakuiSchool of Industrial Engineering, Iran University of Science and Technology, Tehran, IranRouzbehGhousiSchool of Industrial Engineering, Iran University of Science and Technology, Tehran, IranSaeidZhalefruzanSchool of Industrial Engineering, Iran University of Science and Technology, Tehran, IranJournal Article20170606Mortality decrease due to immunizing is the achievement of vaccination. Immunizing faces challenges: Immunogenicity level, cost and extra-immunization. To overcome these a multi-objective Maximizing Immunogenicity, minimizing Cost and Extra-immunization model with Different Vaccine Formulary (ICEDVF) is introduced. Usually, Costs and budget lead to incomplete immunizing. Providing concept of immunogenicity under a fixed budget, the ICEDVF model seeks vaccines maximize immunogenicity and minimize both cost and extra immunization. The augmented e-constraint method is applied to solve ICEDVF and the results are presented for the U.S.