基于复杂网络的SEIA流行病传播模型最优控制研究  

Study on Optimal Control of An SEIA Epidemic Spreading Model Based on Complex Networks

作　　者：王赛[1] 刘子龙[1] WANG Sai;LIU Zi-long(School of Optical-Electrical and Computer Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学光电信息与计算机工程学院

出　　处：《软件导刊》2018年第11期194-197,共4页Software Guide

基　　金：国家自然科学基金项目(61573246)

摘　　要：流行病的传播严重威胁着人类生命安全,给人类社会造成了很大危害。如何正确建立流行病传播模型,进而制定有效的控制方案,已成为国内外的研究热点之一。在传统流行病传播模型中常含有恢复部分,但该部分是虚拟的,现实世界中并不存在,实际上其中包括了易感染类与免疫类。提出一种新型的基于复杂网络的SEIA传染病传播模型,在深入分析模型可控性基础上设计相应的最优控制律。采用该控制方法可使病毒携带者、发病者数量最少,治疗成本最低,仿真结果证明了该方法的有效性。The spread of epidemics seriously threatens the safety of human life and causes great harm to human society.How to correctly establish a model of epidemic spread and then develop an effective control plan is one of the hot spots of research at home and abroad.The traditional epidemic spreading model often contains a recovered part,but in reality this part is virtual and nonexistent in the real world.In the recovered part,part of it is susceptible and the rest is of antidotal category.This paper proposes and investigates a new type of SEIA epidemic spreading model based on complex network.Based on the in-depth analysis of the controllability of the model,the corresponding optimal control law is designed.The control method is used to minimize the number of virus carriers and patients,and the cost of treatment is minimal.A good simulation result proves the effectiveness of the method.

关 键 词：传染病传播模型 复杂网络 可控性 最优控制 

分 类 号：TP309.5[自动化与计算机技术—计算机系统结构]