Open AccessEpidemic spreading model and stability of the networks in mobile environment
Author(s) -
Gong Yong-wang,
Yong-Chun Song,
Guoping Jiang
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.110205
Subject(s) - stability theory , epidemic model , stability (learning theory) , computer science , statistical physics , mathematics , motion (physics) , physics , artificial intelligence , demography , sociology , population , quantum mechanics , nonlinear system , machine learning
In this paper, considering the random motion of nodes, we propose an epidemic spreading model on network of mobile environment based on the mean-filed theory. Using the theory of differential dynamical system, the behaviors of epidemic spreading are further analyzed. It is shown that if R0 1, the epidemic always dies out and the disease-free equilibrium is globally asymptotically stable; and if R0 1, the epidemic is uniformly persistent and the endemic equilibrium is globally asymptotically stable. Numerical simulations are given to validate the results of theoretical analysis.