Dynamical analysis of cigarette smoking model with a saturated incidence rate

Anwar Zeb; Ayesha Bano; Ebraheem Alzahrani; Gul Zaman

doi:10.1063/1.5028157

Back

Dynamical analysis of cigarette smoking model with a saturated incidence rate

Journal article

Open access

Peer reviewed

Dynamical analysis of cigarette smoking model with a saturated incidence rate

Anwar Zeb, Ayesha Bano, Ebraheem Alzahrani and Gul Zaman

AIP advances, Vol.8(4), pp.45317-045317-11

01/04/2018

DOI: https://doi.org/10.1063/1.5028157

Abstract

Materials Science

Materials Science, Multidisciplinary

Nanoscience & Nanotechnology

Physical Sciences

Physics

Physics, Applied

Science & Technology

Science & Technology - Other Topics

Technology

In this paper, we consider a delayed smoking model in which the potential smokers are assumed to satisfy the logistic equation. We discuss the dynamical behavior of our proposed model in the form of Delayed Differential Equations (DDEs) and show conditions for asymptotic stability of the model in steady state. We also discuss the Hopf bifurcation analysis of considered model. Finally, we use the nonstandard finite difference (NSFD) scheme to show the results graphically with help of MATLAB. (c) 2018 Author(s).

Files and links (1)

url

https://doi.org/10.1063/1.5028157View

Published (Version of record) Open

Metrics

1 Record Views

Details

Title: Dynamical analysis of cigarette smoking model with a saturated incidence rate
Creators - without role: Anwar Zeb - COMSATS University Islamabad
Ayesha Bano - COMSATS University Islamabad
Ebraheem Alzahrani - King Abdul Aziz University Hospital
Gul Zaman - University of Malakand
Publication Details: AIP advances, Vol.8(4), pp.45317-045317-11
Publisher: Amer Inst Physics
Number of pages: 11
Grant note: Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah DSR
Identifiers: 9934965908331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article