Mathematical analysis of giving up smoking model via harmonic mean type incidence rate

G ur Rahman, RP Agarwal, Q Din - Applied mathematics and computation, 2019 - Elsevier
This article deals with qualitative analysis of a smoking model and provides parametric
conditions for controlling diseases under the influence of smoking. The model is obtained by …

A study on the fractal-fractional tobacco smoking model

H Khan, J Alzabut, A Shah, S Etemad… - AIMS …, 2022 - scholarworks.bwise.kr
In this article, we consider a fractal-fractional tobacco mathematical model with generalized
kernels of Mittag-Leffler functions for qualitative and numerical studies. From qualitative …

[HTML][HTML] Dynamical analysis of fractional-order tobacco smoking model containing snuffing class

H Alrabaiah, A Zeb, E Alzahrani, K Shah - Alexandria Engineering Journal, 2021 - Elsevier
The current pandemic situation caused by COVID-19 has affected human life globally at the
economic, social and mental health levels. Specifically, tension has led an increasing …

Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking

X Li, RP Agarwal, JF Gómez-Aguilar, Q Badshah… - Chaos, Solitons & …, 2022 - Elsevier
In this study, a smoking and heroin co-abuse model is proposed for the first time in the
literature. To research the dynamics and impacts of smoking-heroin co-morbidity in the …

A mathematical and parametric study of epidemiological smoking model: a deterministic stability and optimality for solutions

T Hussain, AU Awan, KA Abro, M Ozair… - The European Physical …, 2021 - Springer
The qualitative study of a smoking model with parametric conditions for diseases controlling
under the influence of smoking is investigated through rigorous mathematical study. The …

[PDF][PDF] Mathematical modeling of the smoking dynamics using fractional differential equations with local and nonlocal kernel

VF Morales-Delgadoa, JF Gomez-Aguilar… - J. Nonlinear Sci …, 2018 - academia.edu
In this paper, we analyze the fractional modeling of the giving up the smoking using the
definitions of Liouville-Caputo and Atangana-Baleanu-Caputo fractional derivatives …

Dynamical analysis of a giving up smoking model with time delay

Z Zhang, R Wei, W **a - Advances in Difference Equations, 2019 - Springer
In this paper, we are concerned with a delayed smoking model in which the population is
divided into five classes. Sufficient conditions guaranteeing the local stability and existence …

Harmonic mean type dynamics of a delayed giving up smoking model and optimal control strategy via legislation

Z Zhang, G ur Rahman, RP Agarwal - Journal of the Franklin Institute, 2020 - Elsevier
In this research work, a delayed giving up smoking model is initially formulated. The model
is obtained by dividing the whole population into measurable partitions of four subclasses as …

Mathematical modeling of smoking habits in the society

IR Sofia, M Ghosh - Stochastic Analysis and Applications, 2023 - Taylor & Francis
In this study, we formulate and analyze a non-linear mathematical model to study the
dynamics of smoking and its impact on society. This is a compartment model which has four …

Deterministic stability and random behavior of a Hepatitis C model

M Merdan, Z Bekiryazici, T Kesemen, T Khaniyev - PloS one, 2017 - journals.plos.org
The deterministic stability of a model of Hepatitis C which includes a term defining the effect
of immune system is studied on both local and global scales. Random effect is added to the …