scholarly journals Orbigraphs: a graph-theoretic analog to Riemannian orbifolds

2019 ◽  
Vol 12 (5) ◽  
pp. 721-736
Author(s):  
Kathleen Daly ◽  
Colin Gavin ◽  
Gabriel Montes de Oca ◽  
Diana Ochoa ◽  
Elizabeth Stanhope ◽  
...  
Keyword(s):  
Graph Theoretic ◽  
Riemannian Orbifolds

scholarly journals Dynamical aspects of smoking model with cravings to smoke

2021 ◽  
Vol 10 (1) ◽  
pp. 91-108
Author(s):  
Aziz Ullah Awan ◽  
Attia Sharif ◽  
Kashif Ali Abro ◽  
Muhammad Ozair ◽  
Takasar Hussain
Keyword(s):  
Sensitivity Analysis ◽  
Systems Approach ◽  
Control Strategies ◽  
Theoretic Approach ◽  
Square Root ◽  
Root Dynamics ◽  
Infected People ◽  
Graph Theoretic ◽  
Control Actions ◽  
The Media

Abstract The square-root dynamics of smoking model with cravings to smoke, in which square root of potential smokers and smokers is the interaction term, has been studied. We categorized net population in four different chambers: non-smokers/potential smokers, smokers/infected people, non-permanent smokers/temporary quitters and the permanent quitters. By dynamical systems approach, we analyzed our model. Moreover, for proving the unique equilibrium point to be globally stable, we took help of graph theoretic approach. The sensitivity analysis of the model is performed through the diseased classes effectively to design reliable, robust and stable control strategies. The model is designed like optimal control trouble to find out importance of various control actions on our system that are insisted by the sensitivity analysis. We have applied two controls, which are the awareness campaign through the media transmission to control the potential smokers and temporary quit smokers to become smokers and the treatment of smokers. Analytical and numerical methods are utilized for ensuring presence of these two control actions.

Sign in / Sign up

Export Citation Format

Share Document