Sliding mode of compulsory treatment in infectious disease controlling

Meng Zhang; Xiaojing Wang; Jingan Cui; Meng Zhang; Xiaojing Wang; Jingan Cui

doi:10.3934/mbe.2019128

Mathematical Biosciences and Engineering

2019, Volume 16, Issue 4: 2549-2561. doi: 10.3934/mbe.2019128

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Sliding mode of compulsory treatment in infectious disease controlling

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

Received: 14 January 2019 Accepted: 03 March 2019 Published: 22 March 2019

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 I_c, 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 I_c to commence the control. Finally we investigate the theorems and the existence of the optimality combination.
- sliding mode,
- compulsory treatment,
- infectious disease,
- ratio dependent transmission,
- final infected size
Citation: Meng Zhang, Xiaojing Wang, Jingan Cui. Sliding mode of compulsory treatment in infectious disease controlling[J]. Mathematical Biosciences and Engineering, 2019, 16(4): 2549-2561. doi: 10.3934/mbe.2019128

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Abstract

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 I_c, 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 I_c to commence the control. Finally we investigate the theorems and the existence of the optimality combination.

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