Md. Mamun-Ur-Rashid KhanUniversity of Dhaka · Department of Mathematics
Md. Mamun-Ur-Rashid Khan
MS in Pure Mathematics.
PhD student at Kyushu University
About
11
Publications
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75
Citations
Introduction
Operations Research, Differential Equations, Numerical Analysis, Game Theory, Mathematical Modeling, Epidemiology
Additional affiliations
October 2021 - present
Publications
Publications (11)
During a pandemic event like the present COVID-19, self-quarantine, mask-wearing, hygiene maintenance, isolation, forced quarantine, and social distancing are the most effective nonpharmaceutical measures to control the epidemic when the vaccination and proper treatments are absent. In this study, we proposed an epidemiological model based on the S...
In this study, an epidemiological model with the provaccination and antivaccination susceptible groups is proposed, and the social dilemma of the model is analyzed. During a pandemic, such as the current COVID-19, many individuals get confused to choose the option of adopting a provaccination or antivaccination strategy based on the number of infec...
The emergence of a novel strain during a pandemic, like the current COVID-19, is a major concern to the healthcare system. The most effective strategy to control this type of pandemic is vaccination. Many previous studies suggest that the existing vaccine may not be fully effective against the new strain. Additionally, the new strain's late arrival...
In this research, we introduce a comprehensive epidemiological model that accounts for multiple strains of an infectious disease and two distinct vaccination options. Vaccination stands out as the most effective means to prevent and manage infectious diseases. However, when there are various vaccines available, each with its costs and effectiveness...
This study delves into the relationship between individual vaccination aspirations and their repercussions within the SEIRS epidemic framework, exploring effects on vaccination behavior, infection dynamics, and societal outcomes through the Vaccination Game concept. The co-evolution of epidemic dynamics and individual decision-making is examined, u...
In this research work, the well-known Homotopy perturbation method (HPM) is used to find the approximate solutions of the nonlinear Liénard differential equation (LDE) using different types of boundary conditions. In order to find the accuracy of the approximate solution, one term, two terms and three terms HPM approximations are considered. This i...
In this research work, Homotopy perturbation method (HPM) is applied to find the approximate solution of the Van der Pol Differential equation (VDPDE), which is a well-known nonlinear ODE. Firstly, the approximate solution of Van Der Pol equation is developed using Dirichlet boundary con-ditions. Then a comparison between the present results and pr...
In this paper we introduce a generalized MATHEMATICA code for solving one dimensional second order ordinary boundary value problems by Modified Galerkin’s technique of finite element method using the standard basis functions of different degrees and any number of elements.
In this Paper, we have derived the numerical integration formula for unequal data spacing. For doing so we use
Newton’s Divided difference formula to evaluate general quadrature formula and then generate Trapezoidal and Simpson’s rules for the unequal data spacing with error terms. Finally we use numerical examples to compare the numerical results...
In this research, we present the basic concepts of Tabu search method for optimizing problem such as Traveling Salesman Problem (TSP). The main purpose of this work is to understand the symmetric TSP, solve this problem by using Tabu search method to find the shortest distance with small search space and computational needs and then using a compute...