Optimal control analysis of a mathematical model on smoking

被引：0
|
作者：
Vinay Verma
机构：
[1] Shri Ramswaroop Memorial University,Faculty of Mathematical and Statistical Sciences, Institute of Natural Sciences & Humanities
来源：
Modeling Earth Systems and Environment | 2020年 / 6卷
关键词：
Smoking; Education; Media campaigns; Stability; Optimal control;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper,the dynamics of smoking behavior under the influence of educational and media programs is modeled in the presence of two control strategies. Optimal control theory is applied to a non-linear mathematical model on smoking: impact of anti-smoking campaign which helps in obtaining time dependent case detection strategy while minimizing the cost of implementation of such strategy. We prove the existence of an optimal control set and analyze the necessary and sufficient conditions, optimality and transversality conditions. The optimality of the system is deduced analytically and solved numerically.
引用
收藏
页码：2535 / 2542
页数：7
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