Title :
Isolate Control for a SIR Model With Nonlinear Saturation Infectious Force
Author_Institution :
Sch. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China
Abstract :
This paper is concerned with the isolation control of SIR epidemics model with nonlinear saturation infectious force, which not only isolate infective, but also isolate 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 :
biology; diseases; network theory (graphs); nonlinear dynamical systems; partial differential equations; SIR epidemics model; Zubov partial differential equation; controller parameters; disease elimination; infectious agent iosolation; isolation control; isolation rate; nonlinear saturation infectious force; optimization techniques; performance index; susceptible agent isolation; Acquired immune deficiency syndrome; Diseases; Force control; Mathematical model; Mathematics; Nonlinear control systems; Optimal control; Partial differential equations; Performance analysis; Stability;
Conference_Titel :
Bioinformatics and Biomedical Engineering , 2009. ICBBE 2009. 3rd International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-2901-1
Electronic_ISBN :
978-1-4244-2902-8
DOI :
10.1109/ICBBE.2009.5162989
