Discrete time Markov chains (DTMC) susceptible infected susceptible (SIS) epidemic model with two pathogens in two patches

International Conference on Mathematics: Education, Theory and Application

数学;教育

Lismawati, Eka^1 ; Respatiwulan^1 ; Widyaningsih, Purnami^1

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Sebelas Maret University, Surakarta, Indonesia^1

关键词: Discrete time Markov chains;    Discrete time markov process;    Disease spread;    Epidemic modeling;    Susceptible-infected-susceptible;    Transition probabilities;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/855/1/012024/pdf
DOI  :  10.1088/1742-6596/855/1/012024

学科分类：发展心理学和教育心理学

来源: IOP

【 摘 要 】

The SIS epidemic model describes the pattern of disease spread with characteristics that recovered individuals can be infected more than once. The number of susceptible and infected individuals every time follows the discrete time Markov process. It can be represented by the discrete time Markov chains (DTMC) SIS. The DTMC SIS epidemic model can be developed for two pathogens in two patches. The aims of this paper are to reconstruct and to apply the DTMC SIS epidemic model with two pathogens in two patches. The model was presented as transition probabilities. The application of the model obtain that the number of susceptible individuals decreases while the number of infected individuals increases for each pathogen in each patch.