فهرست مطالب

Mathematical Modeling - Volume:6 Issue: 2, Summer-Autumn 2018
  • Volume:6 Issue: 2, Summer-Autumn 2018
  • تاریخ انتشار: 1397/10/01
  • تعداد عناوین: 9
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  • Alireza Fakharzadeh Jahromi *, Zahra Ebrahimi Mimand Pages 123-136
    Despite 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.
    Keywords: Fuzzy numbers_Outlier data_LOF factor_alpha-cut_Left - right scoring
  • Bhausaheb Sontakke, Amjad Shaikh *, Kottakkaran Nisar Pages 137-148
    This 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.
    Keywords: Integrable solution, existence, uniqueness, Caputo operator, fixed point theorems
  • Ahmad Reza Haghighi *, Nooshin Aliashrafi Pages 149-164
    A 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.
    Keywords: Blood flow, Magnetic field, Body acceleration, Crank-Nicolson scheme
  • Eric Kokomo *, Yves Emvudu Pages 165-186
    We propound a mathematical modeling of the migration's effect on the size of any population dynamic from a site of a heterogeneous space Ω⊂Rd , d=1,2,…. 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 Ω. 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
    Keywords: Cholera epidemic, semigroup, partial differential equation, Dirac distribution, optimal control
  • Alimohammad Nazari *, Maryam Zeinali, Hamid Mesgarani Pages 187-194
    In this paper for a given set of real or complex interval numbers σ satisfying special conditions, we find an interval nonnegative matrix C such that for each point set δ of given interval spectrum σ, there exists a point matrix A of C such that δ is its spectrum. We also study some conditions for the solution existence of the problem.
    Keywords: Interval matrix, inverse eigenvalue problem, nonnegative matrices
  • Ayyappan Govindan *, Udayageetha Jayaraj Pages 195-212
    Incoming 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.
    Keywords: Mixed priority queueing systems, two way communication, retrial queue, working breakdown, negative arrival, Bernoulli vacation
  • Ayyappan Govindan, Nirmala Marimuthu * Pages 213-238
    This 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.
    Keywords: General bulk service, Non-Markovian queue, Breakdown, repair, Bernoulli vacation, Multiple vacation, Balking, re-service
  • Nawal A. Alsarori *, Kirtiwant P. Ghadle Pages 239-258
    This 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.
    Keywords: Impulsive fractional differential inclusions, nonlocal conditions, fixed point theorems, mild solutions
  • Ahmad Makui *, Rouzbeh Ghousi, Saeid Zhalefruzan Pages 259-274
    Mortality 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.
    Keywords: Pediatric vaccination, mixed vaccines, Immunogenicity, Multi objective, augmented epsilon constraint