Teaching Experiences

  • Aug-2019 Aug-2018

    Lecturer

    United International University

Education & Training

  • Master of Science 2016

    Mathematics

    University of Dhaka

  • Bachelor of Science 2015

    Mathematics

    University of Dhaka

  • H.S.C 2010

    Science

    Notre Dame College, Dhaka.

  • S.S.C 2008

    Science

    Govt. Laboratory High School, Dhaka.

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Sensitivity Analysis of Chronic Hepatitis C Virus Infection with Immune Response and Cell Proliferation

Khondoker Nazmoon Nabi, Chandra N. Podder

Abstract

A new mathematical model of chronic hepatitis C virus (HCV) infection incorporating humoral and cell-mediated immune responses, distinct cell proliferation rates for both uninfected and infected hepatocytes, and antiviral treatment all at once, is formulated and analysed meticulously. Analysis of the model elucidates the existence of multiple equilibrium states. Moreover, the model has a locally asymptotically stable disease-free equilibrium whenever the basic reproduction number is less than unity. Local sensitivity analysis (LSA) result exhibits that the most influential (negatively sensitive) parameters on the epidemic threshold are the drug efficacy of blocking virus production and the drug efficacy of removing infection. However, LSA does not accurately assess uncertainty and sensitivity in the system and may mislead us since by default this technique holds all other parameters fixed at baseline values. To overcome this pitfall, one of the most robust and efficient global sensitivity analysis (GSA) methods which is Latin hypercube sampling-partial rank correlation coefficient technique elucidates that the proliferation rate of infected hepatocytes and the drug efficacy of killing infected hepatocytes are highly sensitive parameters that affect the transmission dynamics of HCV in any population. Our study suggests that cell proliferation of the infected hepatocytes can be very crucial in controlling disease outbreak. Thus, a future HCV drug that boosts cell-mediated immune response is expected to be quite effective in controlling disease outbreak.

Information Aggregation and Option Pricing: An Empirical Comparison of EWMA and Black and Scholes Models

Khondoker Nazmoon Nabi, Sharif Mozumder

Abstract

Volatility is the most important concept in options trading. No one can consistently predict the market, not even the experts. Yet many investors think they can guess what will happen, based on hunches or rumors. Unless we know precisely when to buy or sell, we can, and probably will miss the market. This can really cost us. Most of the market’s gain and loss occur in just a few, but unpredictable, trading days. In this paper we study the differences in unpredictability of stock and option prices using Black and Scholes model and EWMA volatility model. This difference eventually affects options range and premiums.
 

20th International Mathematics Conference (2017)

Contributory Talk and Poster Presentation
Department of Mathematics, University of Dhaka University of Dhaka

Description

Date: 12/08/2017

Poster Title: Exponentially Weighted Moving Average (EWMA) Stock Volatility
and Black and Scholes Option Volatility: Which one the Investors Should use?

2nd IBRO-APRC Bangladesh Associate School of Neuroscience: Fundamental of Neuroscience, Neural Disorders and Neural Engineering (2019)

Head Anchor
Institute of Natural Sciences, United International University, Dhaka United International University, Dhaka

Description

Date: 12/04/2019

Research School on Dynamical Systems and its Applications to Biology

Participant
CIMPA Research School and University of Dhaka University of Dhaka, Dhaka, Bangladesh

Description

Date: 06/10/2019

At My Office

Room No: Ga-24, Ground Floor, OAB Building, BUET.

At My Work

At My Lab