المنشورات و المؤلفات

This paper introduces an attempt to investigate the complex dynamics of a nonlinear duopoly game of players (firms) adopting prices as their decision variables. Two different models are introduced and studied in this paper. The models are built by...
In this paper, we give a proper investigation of the problem of remanufacturing duopoly game. A smooth piecewise map is introduced to describe such game. A rich analysis either analytical or numerical is presented in this paper in order to...
Memory effects play a critical role in complex immune systems. In this paper, the recent efficient and realistic Atangana–Baleanu fractional order derivative, with non-local and non-singular kernel, was employed in two mathematical models for immune...
This paper analyzes Cournot duopoly games that are constructed based on Cobb–Douglas preferences. We introduce here two models whose dynamic adjustments depend on bounded rationality, dynamic adjustment, and tit-for-tat mechanism. In the first model...
Fractional-order Geomagnetic Field model is considered in this work. A sufficient condition is used to prove that the solution of the fractional-order Geomagnetic Field model exists and is unique in a specific region. Conditions for continuous...
In this work, a novel financial model based on a recent nonsmooth fractional order Caputo-Fabrizio derivative is introduced. The conditions for the existence and uniqueness of the solution of the proposed model are obtained. The local stability...
A novel criterion for achieving synchronisation in fractional-order chaotic and hyperchaotic systems is presented. Here, it is proved that the existence of a Lyapunov function in the integer-order differential system implies local stability of the...
Fractional calculus provides powerful tool to build more realistic and accurate mathematical models in economic field. This paper aims to explore a proposed fractional-order differentiated Cournot duopoly game and its discretized game. Design/...
In this article, a novel discrete system based on an economic model is introduced. Conditions for local stability of the model’s fixed points are obtained. Existence of supercritical Neimark–Sacker bifurcation is shown around the game’s Nash...
In this paper, the Caputo derivative with fractional orders is suggested to model a competition among four competing firms. The proposed economic model that describes this competition is constructed based on a generalization of the traditional...
This paper attempts to further extend the results of dynamical analysis carried out on a recent 4D Lorenz-type hyperchaotic system while exploring new analytical results concerns its local and global dynamics. In particular, the equilibrium points...
In the literature, there are many image encryption algorithms that have been constructed based on different chaotic maps. However, those algorithms do well in the cryptographic process, but still, some developments need to be made in order to...
This paper demonstrates dynamics, chaos control, and synchronization in Samardzija-Greller population model with fractional order between zero and two. The fractional-order case is shown to exhibit rich variety of nonlinear dynamics. Lyapunov...
In this paper, the dynamics and bifurcations of a three-species predator-prey model with an omnivore are further investigated. The food web considered in this work comprises prey, predator and a third species, which consumes the carcasses of the...
Many researchers have used quadratic utility function to study its influences on economic games with product differentiation. Such games include Cournot, Bertrand, and a mixed-type game called Cournot-Bertrand. Within this paper, a cubic utility...
يعد هذا الكتاب أساساً لعلم الإحصاء والاحتمالات وأيضاً مدخلاً للاستدلال الإحصائي، كما يعد مرجعاً مهماً لكل دارسي الإحصاء بجميع تخصصاتهم العلمية والهندسية حيث يحتوي هذا الكتاب على المبادئ الأساسية لعلم الإحصاء وكيفية وصف وعرض البيانات الإحصائية...
We solve the vertex p-centre problem optimally using an exact method that considers both upper and lower bounds as part of its search engine. Tight upper bounds are generated quickly via an efficient three-level heuristic, which are then used to...
This paper is concerned with the optimal control of a production inventory system with time-varying deteriorating items. It is assumed that the deterioration rate follows the two parameters generalized exponential distribution. The continuous review...
In this paper we will discuss the stochastic analysis of a three state semi-Markov reliability model. Maximum likelihood procedure will be used to obtain the estimators of the parameters included in this reliability model. Based on the assumption...
We present an efficient metaheuristic based on Simulated Annealing for solving the p-Median problem. These ideas are tested on the well known OR-Lib set of problems with excellent results
This paper studies the chaos and control of a continuous time food chain model which contains one prey, one predator and super-predator. We show that this system can be asymptotically stabilized using a nonlinear feedback control inputs. The...
Abstract This paper presents estimations of the parameters included in linear exponential distributions, based on grouped and censored data. The methods of maximum likelihood, regression and Bayes are discussed. The maximum likelihood method does...
This paper presents estimations of the generalized Rayleigh distribution model based on grouped and censored data. The maximum likelihood method is used to derive point and asymptotic con¯dence estimates of the unknown parameters. The results...
Abstract A new class of bivariate Gompertz distributions is presented in this paper. The model introduced here is of Marshall-Olkin type. The used procedure is based on a latent random variable with exponential dis- tribution. A mixture of the...
  Abstract This paper discusses the reliability equivalences of a parallel- series system. It is assumed that the system components are independent and identical. Each has a constant failure rate. We assumed three difierent method to improve the...
Abstract This paper investigates the queueing process of a bulk service queueing system under Bernoulli schedule. It also generalizes some known scenarios concerning the choice of service and re-service types. The queueing process is studied both in...
Abstract This paper is concerned with the optimal control of a production inventory system with deteriorating items. It is assumed that the deterioration rate follows the two-parameter Weibull distribution. The continuous-review and periodic-review...
Abstract Enhancements to two exact algorithms from the literature to solve the vertex P-center problem are proposed. In the first approach modifications of some steps are introduced to reduce the number of ILP iterations needed to find the optimal...