Title :
Optimal control for an SIR epidemic model
Author_Institution :
Sch. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China
Abstract :
The synthesize control for an SIR epidemic model with standard incidence rate is investigated, which not only isolate infective, but also immunize susceptible. The threshold of the models system is analyzed. In order to calculate the optimal values of the isolate 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.
Keywords :
algebra; optimal control; optimisation; partial differential equations; SIR epidemic model; Zubov partial differential equation; algebraic function; controller parameter; optimal control; optimal value; standard optimization technique; Biological system modeling; Diseases; Mathematical model; Performance analysis; Silicon; Stability criteria; Isolate and immunize control; SIR epidemics mode; Standard incidence rate; Threshold;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968235
