Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 461, Issue -, Pages 73-84Publisher
ELSEVIER
DOI: 10.1016/j.physa.2016.05.028
Keywords
Rumor spreading; Scientific knowledge; Equilibria stability; Hopf-bifurcation; Persistence
Categories
Funding
- Project of Shanghai Philosophy and Social Science [2014EGL007]
- Natural Science Foundation of Shanghai [13ZR1458200]
- National Natural Science Foundation of China [71303157, 71401107, 71572113]
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Rumor is an important form of social interaction and its spreading has a significant impact on human lives. Accounting to rumors' spread, we present a way of analysis on interaction between two processes, and a frame about the dissemination of scientific knowledge in order to prevent rumor transition. Based on this analysis, a 4D dynamic model is established and numerical simulations are performed. Mathematical analysis of the system with regard to boundedness of solutions, local and global stability of the feasible equilibria and persistence of the system are presented. When the rate of scientific knowledge dissemination reaches a critical value, it can be concluded that the strictly positive interior equilibria undergoes Hopf-bifurcation. The rumor spreading rate also plays an important role on the dynamic behavior of our system, which can be showed from our simulation results that lower rumor spreading rate drives the rumormongers to extinction. (C) 2016 Elsevier B.V. All rights reserved.
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