Sliding mode of compulsory treatment in infectious disease controlling

Mathematical Biosciences and Engineering

Meng Zhang¹  Jingan Cui²  Xiaojing Wang² 

[1] 1. School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China 2. Department of Mathematics, Purdue University, West Lafayette, IN, 47906, USA;1. School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China;

关键词: sliding mode;    compulsory treatment;    infectious disease;    ratio dependent transmission;    final infected size;   

DOI  :  10.3934/mbe.2019128

来源: DOAJ

【 摘 要 】

Preventing the infectious disease from breakout and maintaining public health have always been placed at the first place when making public healthy policy. When the epidemic trend of infectious disease arises, compulsory treatment is an efficient pattern to control the rapid spreading. A sliding mode is carried out to evaluate the effect of compulsory treatment in the infectious disease controlling. When the number of infected persons reach a certain level Ic, the policy of compulsory treatment will be carried out at rate f. We analyze the influence of the compulsory treatment rate f and threshold value Ic to commence the control. Finally we investigate the theorems and the existence of the optimality combination.

【 授权许可】

Unknown