Mathematical Model to Analyze Effect of Demonetization

2020 ◽  
pp. 270-286
Author(s):  
Nita H. Shah ◽  
Bijal M. Yeolekar ◽  
Zalak Ashvinkumar Patel
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Differential Equations ◽  
Global Stability ◽  
Banking Sector ◽  
Nonlinear Differential Equations ◽  
National Currency ◽  
Limited Time ◽  
Local And Global Stability ◽  
The Government

Demonetization is a fundamental regulatory act of stripping in which a currency unit's status as an exchange is professed worthless. Generally, it is done whenever there is a change of national currency, often to be replaced of the old notes or coins with a new one. Sometimes, a country totally replaces the old currency with new currency. For example, in India recently the government demonetized RS. 500 and 1000 notes. So, one has to deposit their cash within limited time in the banks. The demonetization affects individuals mildly or potentially, which in turn affects banking sector. So, SMPB-model is proposed and analyzed for demonetization. The SMP-model is formulated with the system of nonlinear differential equations. The effect of demonetization is studied by calculating threshold using next generation matrix. The local and global stability for demonetization free equilibrium and demonetization equilibrium is worked out. The existence of the equilibrium is investigated. The model is validated with numerical simulation.

scholarly journals Mathematical Model for Impact of Media on Cleanliness Drive in India

2018 ◽  
Vol 7 (1) ◽  
pp. 29-36
Author(s):  
N H Shah ◽  
J S Patel ◽  
F A Thakkar ◽  
M H Satia
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Lyapunov Function ◽  
Global Stability ◽  
Transfer Rate ◽  
Equilibrium Points ◽  
Endemic Equilibrium ◽  
Local And Global Stability

A mathematical model on cleanliness drive in India is analysed for active cleaners and passive cleaners. Cleanliness and endemic equilibrium points are found. Local and global stability of these equilibrium points are discussed using Routh-Hurwitz criteria and Lyapunov function respectively. Impact of media (as a control) is studied on passive cleaners to become active. Numerical simulation of the model is carried out which indicates that with the help of media transfer rate to active cleaners from passive cleaners is higher.

scholarly journals A simple mathematical model for the spread of two political parties

2012 ◽  
Vol 17 (3) ◽  
pp. 343-354 ◽  
Author(s):  
Arvind Kumar Misra
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Political Parties ◽  
Global Stability ◽  
The Political ◽  
Simple Mathematical Model ◽  
Local And Global Stability ◽  
Non Linear ◽  
Mixed Equilibria ◽  
Epidemiological Approach

In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and analyzed by using epidemiological approach. The whole population is assumed to be a constant and homogeneously mixed. Equilibria have been obtained analytically and their local and global stability have been discussed. Conditions for the co-existence of both the political parties have been obtained. Numerical simulation is also performed to support the analytical results.

A MATHEMATICAL MODEL OF DRUG ADMINISTRATION BY PHAGOCYTOSIS OF LOADED ERYTHROCYTES

1995 ◽  
Vol 03 (02) ◽  
pp. 447-455
Author(s):  
FORTUNATA SOLIMANO
Keyword(s):  
Mathematical Model ◽  
Drug Delivery ◽  
Time Delay ◽  
Differential Equations ◽  
Red Blood Cells ◽  
Therapeutic Effect ◽  
Discrete Time ◽  
Blood Cells ◽  
Nonlinear Differential Equations ◽  
Discrete Time Delay

A mathematical model for the drug delivery to macrophages of the tissues by using a preassigned cohort of red blood cells loaded with a drug is presented. This model is a system of three nonlinear differential equations, with a discrete time delay and an input depending on the time. The input should be controlled in order to obtain the longest duration of the therapeutic effect.

Azerbaijan policies may lack agility needed for crises

2020 ◽  
Keyword(s):  
Banking Sector ◽  
Foreign Currency ◽  
Shadow Economy ◽  
Oil Price ◽  
National Currency ◽  
Content Type ◽  
Welfare Spending ◽  
Political Responses ◽  
The Government ◽  
The Cost

Subject Oil and COVID-19 shocks in Azerbaijan. Significance The COVID-19 pandemic and oil price collapse present a dual challenge to the government, whose economic or political responses are likely to mirror its behaviour in past crises. Despite reasonable fiscal strength, there are policy risks in areas such as defending the national currency at the cost of depleting foreign currency reserves. Impacts Demands for healthcare and welfare spending will rise, as will unemployment. The banking sector looks vulnerable: four major banks are already in temporary administration. The size of the shadow economy makes it difficult to assess numbers of lay-offs and the resulting demand for welfare assistance.

scholarly journals Global Dynamics of a Mathematical Model on Smoking

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Zainab Alkhudhari ◽  
Sarah Al-Sheikh ◽  
Salma Al-Tuwairqi
Keyword(s):  
Mathematical Model ◽  
Global Stability ◽  
Numerical Simulations ◽  
The Other ◽  
Global Dynamics ◽  
Local And Global Stability ◽  
Two Equilibria

We derive and analyze a mathematical model of smoking in which the population is divided into four classes: potential smokers, smokers, temporary quitters, and permanent quitters. In this model we study the effect of smokers on temporary quitters. Two equilibria of the model are found: one of them is the smoking-free equilibrium and the other corresponds to the presence of smoking. We examine the local and global stability of both equilibria and we support our results by using numerical simulations.

scholarly journals Existence of the solitary wave solutions supported by the modified FitzHugh–Nagumo system

2020 ◽  
Vol 25 (3) ◽  
Author(s):  
Aleksandra Gawlik ◽  
Vsevolod Vladimirov ◽  
Sergii Skurativskyi
Keyword(s):  
Numerical Simulation ◽  
Solitary Wave ◽  
Differential Equations ◽  
Direct Numerical Simulation ◽  
Nonlinear Differential Equations ◽  
Transport Phenomena ◽  
Nerve Impulse ◽  
Theoretical Studies ◽  
Solitary Wave Solutions ◽  
Wave Solutions

We study a system of nonlinear differential equations simulating transport phenomena in active media. The model we are interested in is a generalization of the celebrated FitzHugh–Nagumo system describing the nerve impulse propagation in axon. The modeling system is shown to possesses soliton-like solutions under certain restrictions on the parameters. The results of theoretical studies are backed by the direct numerical simulation.

scholarly journals Mathematical problems of reliability assurance the building constructions

2019 ◽  
Vol 97 ◽  
pp. 03031 ◽  
Author(s):  
Victor Orlov ◽  
Oleg Kovalchuk
Keyword(s):  
Differential Equation ◽  
Mathematical Model ◽  
Structural Analysis ◽  
Singular Point ◽  
General Solution ◽  
Differential Equations ◽  
Approximate Method ◽  
Nonlinear Differential Equations ◽  
Structural Failure ◽  
Mathematical Problems

The paper deals with a mathematical model of console type based on the nonlinear differential equation having a mobile feature of the General solution (or a mobile singular point). The presence of mobile singular points indicates affiliation of this type of equations to the class of intractable in the general case in of quadratures. This fact, taking into account the interpretation of mobile singular point as the coordinate of structural failure, actualizes the development of an analytical approximate method for solving nonlinear differential equations. Taking into account these features for of structural analysis increases the authenticity of results and reliability of construction.

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