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The extinction and persistence of the stochastic SIS epidemic model with vaccination

Zhao, Yanan; Jiang, Daqing; O’Regan, Donal - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 20, pp. 4916-4927

In this paper, we discuss the dynamics of a stochastic SIS epidemic model with vaccination. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R0. When the noise is small, sufficient conditions for extinction exponentially and persistence in the...

Persistent link: https://www.econbiz.de/10010742334

SIRaRu rumor spreading model in complex networks

Wang, Jiajia; Zhao, Laijun; Huang, Rongbing - In: Physica A: Statistical Mechanics and its Applications 398 (2014) C, pp. 43-55

, associated with which the steady-state analysis is carried out, indicating the spreading threshold existing in both homogeneous … threshold and spreading thresholds in homogeneous and inhomogeneous networks, respectively. Numerical simulations are conducted …

Persistent link: https://www.econbiz.de/10010744299

Rumor spreading model considering forgetting and remembering mechanisms in inhomogeneous networks

Zhao, Laijun; Qiu, Xiaoyan; Wang, Xiaoli; Wang, Jiajia - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 4, pp. 987-994

. Steady-state analysis is carried out, which shows no spreading threshold existing. Numerical simulations are conducted in a … addition, the no threshold result is verified. …

Persistent link: https://www.econbiz.de/10010603441

On the thresholds, probability densities, and critical exponents of Bak–Sneppen-like models

Garcia, Guilherme J.M.; Dickman, Ronald - In: Physica A: Statistical Mechanics and its Applications 342 (2004) 1, pp. 164-170

We report a simple method to accurately determine the threshold and the exponent ν of the Bak–Sneppen (BS) model and … also investigate the BS universality class. For the random-neighbor version of the BS model, we find the threshold x∗=0 …

Persistent link: https://www.econbiz.de/10011057894

Sharp thresholds in Bootstrap percolation

Balogh, József; Bollobás, Béla - In: Physica A: Statistical Mechanics and its Applications 326 (2003) 3, pp. 305-312

theorem of Friedgut and Kalai (Proc. Amer. Math. Soc. 124 (1996) 2993), we shall show that the threshold function of the …

Persistent link: https://www.econbiz.de/10011062994