Synthesize Control For An SIR Model With Nonlinear Saturation Infecctious Force
This paper is concerned with the Synthesize control of SIR epidemics model with nonlinear saturation infectious force, which not only isolate infective, but also take immunization and improve the sense of self-protection. The threshold of the models system is analyzed. In order to calculate the optimal values of the isolate rates, immune rates and self- protection rates, it constructs a performance index that is calculated explicitly as an algebraic function of the controller parameters by solving Zubov’s partial differential equation, and standard optimization techniques are employed The ultimate aim is to eliminate the disease. The simulation result shows the method is viable and effectively.
SIR epidemics mode nonlinear saturation infectious force threshold Synthesize control
Yang Guang
School of Mathematics and Systems Science, Shenyang normal university, Shenyang 110034, China
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
798-801
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）