Author/Authors :
Miao, Anqi Shandong University of Science and Technology - Qingdao, China , Zhang, Jian Shandong University of Science and Technology - Qingdao, China , Zhang, Tongqian Shandong University of Science and Technology - Qingdao, China , Sampath Aruna Pradeep, B. G Department of Mathematics - University of Ruhuna - Matara, Sri Lanka
Abstract :
A stochastic 𝑆𝐼𝑅 model with vertical transmission and vaccination is proposed and investigated in this paper. The threshold
dynamics are explored when the noise is small. The conditions for the extinction or persistence of infectious diseases are deduced.
Our results show that large noise can lead to the extinction of infectious diseases which is conducive to epidemic diseases control.
Keywords :
Dynamics , 𝑆𝐼R , Transmission , Vaccination
