Assoc. Prof. Dr. Joydip Dhar

Committee: International Scientific Committee of Agricultural and Biosystems Engineering
University: Indian Institute of Information Technology and Management, Gwalior
Department: Department of Applied Mathematics
Research Fields: Mathematical Modelling of Environmental, Ecological, Managerial and Engineering Systems

Publications

4 Prediction of Computer and Video Game Playing Population: An Age Structured Model

Authors: Joydip Dhar, T. K. Sriram

Abstract:

Models based on stage structure have found varied applications in population models. This paper proposes a stage structured model to study the trends in the computer and video game playing population of US. The game paying population is divided into three compartments based on their age group. After simulating the mathematical model, a forecast of the number of game players in each stage as well as an approximation of the average age of game players in future has been made.

Keywords: Forecasting, Mathematical Modeling, age structure, Stage structure

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1480
3 An Empirical Analysis and Comparative Study of Liquidity Ratios and Asset-Liability Management of Banks Operating in India

Authors: Joydip Dhar, Amit Kumar Meena

Abstract:

This paper is focused on the analysis and comparison of liquidity ratios and asset liability management practices in top three banks from public, private and foreign sector in India. The analysis is based upon the liquidity ratios calculation and the determination of maturity gap profiles for the banks under study. The paper also compares these banks maturity gap profiles with their corresponding group’s maturity gap profiles. This paper identifies the interest rate sensitivity of the balance sheet items of these banks to determine the gap between rate sensitive assets and rate sensitive liabilities. The results of this study suggest that overall banks in India have very good short term liquidity position and all banks are financing their short term liabilities by their long term assets.

Keywords: ALM, Liquidity ratios, Rate sensitive Assets, Rate Sensitive Liabilities

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 4208
2 Mathematical Model of Depletion of Forestry Resource: Effect of Synthetic Based Industries

Authors: Joydip Dhar, Manisha Chaudhary, Govind Prasad Sahu

Abstract:

A mathematical model is proposed considering the forest biomass density B(t), density of wood based industries W(t) and density of synthetic industries S(t). It is assumed that the forest biomass grows logistically in the absence of wood based industries, but depletion of forestry biomass is due to presence of wood based industries. The growth of wood based industries depends on B(t), while S(t) grows at a constant rate, independent of B(t). Further there is a competition between W(t) and S(t) according to market demand. The proposed model has four ecologically feasible steady states, namely, E1: forest biomass free and wood industries free equilibrium; E2: wood industries free equilibrium and two coexisting equilibria E∗1 , E∗2 . Behavior of the system near all feasible equilibria is analyzed using the stability theory of differential equations. In the proposed model, the natural depletion rate h1 is a crucial parameter and system exhibits Hopf-bifurcation about the non-trivial equilibrium with respect to h1. The analytical results are verified using numerical simulation.

Keywords: Stability Analysis, Hopf-bifurcation, A mathematical model, Competition between wood based and synthetic industries

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2903
1 Analysis of a Spatiotemporal Phytoplankton Dynamics: Higher Order Stability and Pattern Formation

Authors: Joydip Dhar, Randhir Singh Baghel, Renu Jain

Abstract:

In this paper, for the understanding of the phytoplankton dynamics in marine ecosystem, a susceptible and an infected class of phytoplankton population is considered in spatiotemporal domain. Here, the susceptible phytoplankton is growing logistically and the growth of infected phytoplankton is due to the instantaneous Holling type-II infection response function. The dynamics are studied in terms of the local and global stabilities for the system and further explore the possibility of Hopf -bifurcation, taking the half saturation period as (i.e., ) the bifurcation parameter in temporal domain. It is also observe that the reaction diffusion system exhibits spatiotemporal chaos and pattern formation in phytoplankton dynamics, which is particularly important role play for the spatially extended phytoplankton system. Also the effect of the diffusion coefficient on the spatial system for both one and two dimensional case is obtained. Furthermore, we explore the higher-order stability analysis of the spatial phytoplankton system for both linear and no-linear system. Finally, few numerical simulations are carried out for pattern formation.

Keywords: Chaos, Pattern Formation, global stability, local stability, reaction-diffusion system, Hopf-bifurcation, Phytoplankton dynamics, Higher-order stability analysis

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1283