International Journal of Mathematical Modelling & ComputationsInternational Journal of Mathematical Modelling & Computations
http://ijm2c.iauctb.ac.ir/
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http://ijm2c.iauctb.ac.ir/
Feed provided by International Journal of Mathematical Modelling & Computations. Click to visit.Dynamics of a Delayed Epidemic Model with Beddington-DeAngelis Incidence Rate and a Constant ...
http://ijm2c.iauctb.ac.ir/article_670738_1132712.html
In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using comparison arguments. In contrast, if R0 > 1, we see that the disease-free equilibrium is unstable and the endemic equilibrium is permanent and locally asymptotically stable and we give sufficient conditions for the global asymptotic stability of the endemic equilibrium.Fri, 31 May 2019 19:30:00 +0100Sturm-Liouville Fuzzy Problem with Fuzzy Eigenvalue Parameter
http://ijm2c.iauctb.ac.ir/article_670752_0.html
This study is on the fuzzy eigenvalues and fuzzy eigenfunctions of the Sturm-Liouville fuzzy problem with fuzzy eigenvalue parameter. We find fuzzy eigenvalues and fuzzy eigenfunctions of the problem under the approach of Hukuhara differentiability. We solve an example. We draw the graphics of eigenfunctions. We show that eigenfunctions are valid fuzzy functions or not.Fri, 17 Jan 2020 20:30:00 +0100Fixed Point Results for Cyclic (α,β)-Admissible Type F-Contractions in Modular Spaces
http://ijm2c.iauctb.ac.ir/article_670731_1132712.html
In this paper, we prove the existence and uniqueness of fixed points for cyclic (α,β)-admissible type F-contraction and F−weak contraction under the setting of modular spaces, where the modular is convex and satisfying the ∆2-condition. Later, we prove some periodic point results for self-mappings on a modular space. We also give some examples to support our results.Fri, 31 May 2019 19:30:00 +0100A NEW FIVE-PARAMETER DISTRIBUTION: PROPERTIES AND APPLICATIONS
http://ijm2c.iauctb.ac.ir/article_671014_0.html
In this paper a new five-parameter lifetime and reliability distribution named “the exponentiated Uniform-Pareto distribution” has been suggested that it has a bathtub-shaped and inverse bathtub-shape for modeling lifetime data. This distribution has applications in economics, actuarial modelling, reliability modeling, lifetime and biological sciences. Firstly, the mathematical and statistical characteristics of the proposed distribution are presented, then the applications of the new distribution are studied using the real data set. Its first moment about origin and moments about mean have been obtained and expressions for skewness, kurtosis have been given. Various mathematical and statistical properties of the proposed distribution have been discussed. Estimation of its parameter has been discussed using the method of maximum likelihood. finally, two applications of the new distribution have been discussed with two real income and lifetime data sets. The results also confirmed the suitability of the presented models for real data collectionSun, 26 Jan 2020 20:30:00 +0100Bat Algorithm for Optimal Service Parameters in an Impatient Customer N-Policy Vacation Queue
http://ijm2c.iauctb.ac.ir/article_670732_1132712.html
In this paper, a meta-heuristic method, the Bat Algorithm, based on the echolocation behavior of bats is used to determine the optimum service rate of a queue problem. A finite buffer M/M/1 queue with N policy, multiple working vacations and Bernoulli schedule vacation interruption is considered. Under the two customers' impatient situations, balking and reneging, the queue is studied using the matrix geometric method. Simulations show that the proposed algorithm seems much superior to other algorithms.Fri, 31 May 2019 19:30:00 +0100A Three-Point Iteretive Method for Solving Nonlinear Equations with High Efficiency index
http://ijm2c.iauctb.ac.ir/article_671015_0.html
In this paper, we proposed a three-point iterative method for finding the simple roots of non- linear equations via mid-point and interpolation approach. The method requires one evaluation of the derivative and three(3) functions evaluation with efficiency index of 81/4 ≈ 1.682 . Numerical results reported here, between the proposed method with some other existing methods shows that our method is promising .Sun, 26 Jan 2020 20:30:00 +0100Markov Chain Analogue Year Daily Rainfall Model and Pricing of Rainfall Derivatives
http://ijm2c.iauctb.ac.ir/article_670734_1132712.html
In this study we model the daily rainfall occurrence using Markov Chain Analogue Yearmodel (MCAYM) and the intensity or amount of daily rainfall using three different probability distributions; gamma, exponential and mixed exponential distributions. Combining the occurrence and intensity model we obtain Markov Chain Analogue Year gamma model (MCAYGM), Markov Chain Analogue Year exponential model (MCAYEM) and Markov Chain Analogue Year mixed exponential model (MCAYMEM). The models are assessed using twenty nine-years(1987-2015) of historical records of daily rainfall data taken from three different locations which are obtained from Ethiopian National Meteorology Agency (ENMA). Both maximum likelihood and least square techniques are used in the estimation of model parameter. The results indicate that all the three model are suitable for the simulation of precipitation process. In order to assess their performance we apply both qualitative (graphical demonstration) and quantitative techniques. In the quantitative, the performance of the three models; MCAYEM, MCAYGM and MCAYMEM are measured using mean absolute error(MAE) and have mean absolute error of 0.45mm, 0.57 mm and 0.42mm respectively for kiremet(June to September) rainfall which is the long rainy season in Ethiopia. These accuracy is mainly because of the new component that is Analogue Year (AY) used in the modeling of frequency of daily rainfall included in the Markov chain (MC) process. Based on these model we obtain an option price for Teff crop for different months. The result shows an excellent accuracy with only maximum absolute error of 0.54 currency.Sat, 29 Jun 2019 19:30:00 +0100The numerical solution of Klein-Gorden equation by using Nonstandard Finite Difference
http://ijm2c.iauctb.ac.ir/article_671016_0.html
In this paper we propose a numerical scheme to solve the one dimensional nonlinear Klein-Gorden equation.We describe the mathematical formulation procedure in details.The schemeis three level explicit and based on nonstandard nite dierence.It has nonlinear denominatorfunction of the step sizes.Stability analysis of the method has been given and we prove thatthe proposed method when applied to one dimensional nonlinear Klein-Gorden equation, isunconditionally stable.We illustrate the usefulness of the proposed method by applying it ontwo examples.Sun, 26 Jan 2020 20:30:00 +0100A Consistent and Accurate Numerical Method for Approximate Numerical Solution of Two Point ...
http://ijm2c.iauctb.ac.ir/article_670736_1132712.html
In this article we have proposed an accurate finite difference method for approximate numerical solution of second order boundary value problem with Dirichlet boundary conditions. There are numerous numerical methods for solving these boundary value problems. Some these methods are more efficient and accurate than others with some advantages and disadvantages. The results in experiment on model problems show an improved and good approximation to the solution of considered problems.Fri, 31 May 2019 19:30:00 +0100Efficiency of Centralized Structures in Data Envelopment Analysis Ratio Models
http://ijm2c.iauctb.ac.ir/article_671017_0.html
This paper investigates the centralized resource allocation with centralized structures by using the data envelopment analysis-ratio (DEA-R) models. To this end, it proposes a method to determine the resource allocation of centralized structures such that the ratio of inputs to outputs are minimized.Sun, 26 Jan 2020 20:30:00 +0100Initial Value Problems for Fourth-Order Fuzzy Differential Equations by Fuzzy Laplace ...
http://ijm2c.iauctb.ac.ir/article_670737_1132712.html
This paper is on the solutions of fuzzy initial value problems for fourth-order fuzzy differential equations with positive and negative fuzzy coefficients by fuzzy Laplace transform. Examples are solved. Conclusions are given.Fri, 31 May 2019 19:30:00 +0100Mathematical Model for transmission dynamics of Hepatitus C Virus with Optimal Control Strategies
http://ijm2c.iauctb.ac.ir/article_671018_0.html
An epidemic model with optimal control strategies was investigated for Hepatitus C Viral disease that can be transmitted through infected individuals. In this study, we used a deterministic compartmental model for assessing the effect of different optimal control strategies for controlling the spread of Hepatitus C disease in the community. Stability theory of differential equations is used to study the qualitative behavior of the system. The basic reproduction number that represents the epidemic indicator is obtained by using the condition of endemicity. Both the local stability and global stability conditions for disease free equilibrium is established. Uniqueness of endemic equilibrium point and its global stability conditions are proved. Numerical simulation of the model showed that applying by using prevention and treatments given for both acute and chronic infected population can successfully eliminate Hepatitus C viral disease from the community.Sun, 26 Jan 2020 20:30:00 +0100