Square-root dynamics of a giving up smoking model

Anwar Zeb; Gul Zaman; Shaher Momani

doi:10.1016/j.apm.2012.10.005

Square-root dynamics of a giving up smoking model

Anwar Zeb
, Gul Zaman
, Shaher Momani

University of Malakand
University of Jordan

Research output: Contribution to journal › Article › peer-review

81 Scopus citations

Abstract

The paper presents a new giving up smoking model for which interaction term is square root of potential and occasional smokers of model presented in Zaman (2011) [15]. First, we will show formulation of the model. Then we will discuss local and global stability of the model and its general solutions. The non-standard finite difference method (NSFD) is used to solve the new giving up smoking model. Both non-negativity and conservative law for differential equations system are discussed. Numerical results are presented graphically and compared well with those obtained by Runge-Kutta fourth-order method (RK4) and ODE45.

Original language	English
Pages (from-to)	5326-5334
Number of pages	9
Journal	Applied Mathematical Modelling
Volume	37
Issue number	7
DOIs	https://doi.org/10.1016/j.apm.2012.10.005
State	Published - 1 Apr 2013
Externally published	Yes

Keywords

Mathematical model
Non-standard finite difference scheme
Numerical analysis
Square root dynamics

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10.1016/j.apm.2012.10.005

Cite this

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title = "Square-root dynamics of a giving up smoking model",

abstract = "The paper presents a new giving up smoking model for which interaction term is square root of potential and occasional smokers of model presented in Zaman (2011) [15]. First, we will show formulation of the model. Then we will discuss local and global stability of the model and its general solutions. The non-standard finite difference method (NSFD) is used to solve the new giving up smoking model. Both non-negativity and conservative law for differential equations system are discussed. Numerical results are presented graphically and compared well with those obtained by Runge-Kutta fourth-order method (RK4) and ODE45.",

keywords = "Mathematical model, Non-standard finite difference scheme, Numerical analysis, Square root dynamics",

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T1 - Square-root dynamics of a giving up smoking model

AU - Zeb, Anwar

AU - Zaman, Gul

AU - Momani, Shaher

PY - 2013/4/1

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N2 - The paper presents a new giving up smoking model for which interaction term is square root of potential and occasional smokers of model presented in Zaman (2011) [15]. First, we will show formulation of the model. Then we will discuss local and global stability of the model and its general solutions. The non-standard finite difference method (NSFD) is used to solve the new giving up smoking model. Both non-negativity and conservative law for differential equations system are discussed. Numerical results are presented graphically and compared well with those obtained by Runge-Kutta fourth-order method (RK4) and ODE45.

AB - The paper presents a new giving up smoking model for which interaction term is square root of potential and occasional smokers of model presented in Zaman (2011) [15]. First, we will show formulation of the model. Then we will discuss local and global stability of the model and its general solutions. The non-standard finite difference method (NSFD) is used to solve the new giving up smoking model. Both non-negativity and conservative law for differential equations system are discussed. Numerical results are presented graphically and compared well with those obtained by Runge-Kutta fourth-order method (RK4) and ODE45.

KW - Mathematical model

KW - Non-standard finite difference scheme

KW - Numerical analysis

KW - Square root dynamics

UR - https://www.scopus.com/pages/publications/84872598848

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DO - 10.1016/j.apm.2012.10.005

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VL - 37

SP - 5326

EP - 5334

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

IS - 7

ER -

Square-root dynamics of a giving up smoking model

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Keywords

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