Global threshold dynamics of a stochastic epidemic model incorporating media coverage

• Published in: Advances in difference equations Vol. 2018; no. 1; pp. 1 - 14
• Main Authors: Yang, Bin, Cai, Yongli, Wang, Kai, Wang, Weiming
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 12.12.2018; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Basic reproduction number; Computer simulation; Difference and Functional Equations; Disease control; Epidemics; Feller’s test; Fokker–Planck equations; Functional Analysis; Invariant density; Mathematical models; Mathematics; Mathematics and Statistics; Media coverage; Noise intensity; Ordinary Differential Equations; Partial Differential Equations; Stochastic models; Fokker–Planck equations; Basic reproduction number; Invariant density; 92D30; 60H10; 93E15; Feller’s test

In this paper, we investigate the global threshold dynamics of a stochastic SIS epidemic model incorporating media coverage. We give the basic reproduction number R 0 s and establish a global threshold theorem by Feller’s test: if R 0 s ≤ 1 , the disease will die out a.s.; if R 0 s > 1 , the dise...