Optimal control of alcoholism spreading through awareness over multiplex network

作     者：Padmavathi Ramamoorthi Senthil Kumar Muthukrishnan 

作者机构：Department of Science and Humanities Info Institute of EngineeringCoimbatoreIndia Department of Applied Mathematics and Computational Sciences PSG College of TechnologyCoimbatoreIndia 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2021年第14卷第6期

页      面：33-58页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：Alcohol spreading information diffusion Microscopic Markov Chain Approach optimal control 

摘      要：This paper proposes the SISRS epidemic model to represent alcohol addiction among *** spreading of alcohol addiction is controlled by creating awareness among the people and also by treating them to overcome *** network is used to study the dynamics of *** spreads over the physical contact layer and follows the SISRS process whereas human awareness spreads over the virtual contact layer and follows the UAU *** on the Microscopic Markov Chain Approach competing dynamics of spreading of alcohol addiction and human awareness diffusion are *** conditions for the existence of an alcohol-free population are *** optimal control problem using a suitable cost index is formulated to reduce the alcohol addicts and the optimal control strategy using Pontryagin’s Minimum Principle is *** results are developed to find the effect of various parameters and to analyze the effects of different control *** results obtained from this model are closer to the data collected in the National Survey of Drug Use and Health(NSDUH)from 2002 to 2018.