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Mathematical Analysis of Epidemiological Model of Virus Transmission Dynamics in Perspective of Bangladesh
No full textThis thesis is submitted to the Department of Mathematics, Khulna University of Engineering & Technology in partial fulfillment of the requirements for the degree of Master of Philosophy in Mathematics, June 2018.Cataloged from PDF Version of Thesis.Includes bibliographical references (pages 65-68).Infectious diseases cause great suffering all over the world like Japan, USA, India, China,
Ghana, Bangladesh etc. every year. The cause of infectious diseases are mainly virus and
bacteria, they are becoming resistant against existing drugs. Therefore, infectious diseases
become great concern in public health. But the spread of infectious disease can be
controlled by some preventive steps. To get the control strategy, we have to know the
transmission dynamics of the viruses. Mathematical modeling plays a vital role in
understanding the transmission dynamics of the virus. In order to find out the control
strategy of the infectious diseases, several mathematical models are available in the
literatures. SIR and SEIR are the most well-known models regarding the transmission
dynamics of the infectious diseases. In this thesis we have applied mathematical model
namely SEIR model to realize the dynamics of Influenza A (H1N1) virus and Nipah Virus.
By analyzing sensitivity of their disease free equilibrium and endemic equilibrium we have
got two controlling strategies –decrease of contact rate and/or increase of recovery rate.
Moreover, we have got herd immunity threshold for them by basic reproduction number
regarding data of Bangladesh. Our result suggests that vaccinating 15.31% population
could be controlled spread out of Influenza A (H1N1) virus and keeping away 77.25%
(susceptible) population from close contact with infected people could be controlled
outbreak of Nipah virus in Bangladesh at their initial outbreak respectively. Using the
above control strategy we have proposed vaccine induced SEIR model for Influenza A
(H1N1) virus and controlled induced SEIR model for Nipah virus. For Influenza A (H1N1)
virus, we considered 15.31% of the susceptible population will be vaccinated whereas for
Nipah virus, 77.25% of the susceptible population will not be in close contact (by
awareness) with infected population. Numerical solutions of the proposed vaccine induced
SEIR model as well as control induced SEIR model regarding data of Bangladesh reveal
the control of the outbreak of both diseases respectively. Moreover numerical simulation
have been performed to analyze the performance of SEIR models and proposed control
induced SEIR models for both the viruses.Rafiqul IslamMaster of Philosophy in Mathematic
A Study on Knowledge Extraction from Official Bangla Documents
No full textThis thesis is submitted to the Department of Computer Science and Engineering, Khulna University of Engineering & Technology in partial fulfillment of the requirements for the degree of Master of Science in Engineering in Computer Science and Engineering, December 2018.Cataloged from PDF Version of Thesis.Includes bibliographical references (pages 57-61).Bangla is the seventh largest spoken language in the world. However, the information searching in the digital Bangla papers is a tiresome job as its ends up with incorrect and a very few information. It is difficult because wide computational resources for Bangla are very limited. It is literally infeasible to list and analyze the Bangla data manually. Several approaches for identifying and extracting tables, figures, emotion, reviews, and algorithms have been done in English. Furthermore, knowledge extraction in Bangla documents for emotion or opinion detection and sentence extraction for summarization have been explored. However, they do not provide enough textual information for the user for Bangla text content. In this work, we proposed a domain specific composite approaches to find out the agendas, and its decisions from the minutes of meeting of academic council of Khulna University of Engineering & Technology (KUET) with Query-based features, Content-based features, Context-based features and Semantic features. We also demonstrated the techniques to categorize the knowledge where a single query is given by the user and displayed the result sequentially by date. All the operations are presented with sufficient theoretical analysis and experimental results.Monika GopeMaster of Science in Engineering in Computer Science and Engineerin
Steady MHD Natural Convection Heat and Mass Transfer Flow above a Vertical Porous Surface with Thermal Diffusion and Inclined Magnetic Field
No full textThis thesis is submitted to the Department of Mathematics, Khulna University of Engineering & Technology in partial fulfillment of the requirements for the degree of Master of Science in Mathematics, August 2018.Cataloged from PDF Version of Thesis.Includes bibliographical references (pages 65-69).In this study the effect thermal diffusion and inclined magnetic field on the steady
laminar natural convection heat and mass transfer flow of viscous incompressible
MHD electrically conducting fluid past a vertical porous surface is considered under
the influence of induced magnetic field. The governing non-dimensional equations
relevant to the problem, containing the partial differential equations, are transformed
by usual similarity transformations into a system of coupled non-linear ordinary
differential equations and have been solved by using the perturbation technique. On
introducing the non-dimensional concept and applying usual Boussinesq’s
approximation, the solutions for velocity fields, temperature distribution, induced
magnetic fields and mass concentration are obtained up to the second order
approximations for different selected values of the established dimensionless
parameters and numbers. The influences of these various establish parameters and
numbers on the velocity and temperature fields, induced magnetic field and mass
concentration are exhibited under certain assumptions and are studied graphically.
Further, the effects of these dimensionless parameters on the coefficients of skin
friction and rate of heat and mass transfers are also studied in tabular form in the
present analysis. The effect of different angle of inclinations of the externally applied
uniform magnetic field on the field variables have been investigated for the present
problem. It is observed that with other useful associated parameters, the thermal
diffusion and the angle of inclination of the applied magnetic field have a retarding
influence on the fluid velocity, induced magnetic field and mass concentration as well.
It is also found that the dimensionless Prandtl number, Grashof number, Modified
Grashof number, magnetic parameter and suction parameter have their own
dependency on the concerned independent field variables like the velocity,
temperature, concentration and induced magnetic fields as well as on other physical
parameters of interests like local skin-friction coefficient (Cf), Nusselt number (Nu) and
Sherwood number (Sh).Md. Sohel RanaMaster of Science in Mathematic
Study of Structural Kinetics in the Effect of Partly Substitution of Fe by Co in FINEMET
No full textThis thesis is submitted to the Department of Physics, Khulna University of Engineering & Technology in partial fulfillment of the requirements for the degree of Master of Science in Physics, April 2018.Cataloged from PDF Version of Thesis.Includes bibliographical references (pages 83-91)This thesis is based on the experimental investigation of nanocrystalline
formation partly substitution Fe by Co in FINEMET with composition (Fe0.9
Co0.1)73.5Cu1Nb3Si13.5B9 alloy in the amorphous and annealed states. The sample has
been prepared from high purity in gradients by rapid solidification technique using a
method spinning technique and their amorphous nature has been confirmed by X-ray
diffraction (XRD). The crystallization kinetics and the nanocrystal formation have
been studied by differential thermal analysis (DTA) and XRD. Magnetization
measurements have been carried out using vibrating sample magnetometer (VSM).
The alloy has been annealed in a controlled way in the temperature range of 400 -
650
o
C for constant annealing time one hour. The kinetics of primary crystallization α-
FeCo(Si) phase and secondary crystallization Fe2B phase in composition is studied as
affected DTA and confirmed by XRD. The sample annealed at 450oC at constant
annealing time is almost unchanged is still lower than DTA scan that of primary
crystallization phase but the same condition sample annealed at 600oC completely
diffused primary crystallization α-FeCo(Si) phase has already vanish. Thermal
analysis experiment and from the obtained data activation energy of α-FeCo(Si) is
4.1eV and Fe2B is 6.31eV. In the optimized annealing condition the grain size has
been obtained in the range of 12 - 15 nm. The peak shifts indicate the change of the
values of Si-content of nanograins and therefore, the change of the values of lattice
parameter of nanograins. Saturation magnetization is maximum value is observed
annealed at 6000C. The MS initially decreases with increasing annealing temperature
and again increase MS further decrease with increase annealing temperature may be
connected with the enrichment of the residual amorphous phase with Nb that weakens
the coupling between ferromagnetic nanograins. Lower applied field suffices to
produce saturation the nanocrystalline material is said to be magnetically soft.Kaushik SarkarMaster of Science in Physic