skip to main content
Idioma:

Exact analytic solution to nonlinear dynamic system of equations for information propagation in complex networks

Dong, Suyalatu ; Deng, Yanbin ; Huang, Yong-Chang

Physica A, 2019-05, Vol.521, p.319-329 [Periódico revisado por pares]

Elsevier B.V

Texto completo disponível

Citações Citado por
  • Título:
    Exact analytic solution to nonlinear dynamic system of equations for information propagation in complex networks
  • Autor: Dong, Suyalatu ; Deng, Yanbin ; Huang, Yong-Chang
  • Assuntos: Complex networks ; Epidemic model ; Exact analytic solution ; Nonlinear dynamic system ; Population dynamics
  • É parte de: Physica A, 2019-05, Vol.521, p.319-329
  • Descrição: We present the exact analytic solution to the nonlinear dynamic system describing the information propagation process in complex networks. The method is to switch to the dynamic system of equations for the new variables defined according to the nonlinear terms appearing in the original dynamic system, and then, after combining relevant consistent condition of solution to reduce the dynamic system of equations for the newly defined variables to the knownly solvable nonlinear Bernoulli differential equation. Numerical comparisons between the purely numerical solution and the exact analytic solution confirm the crosscheck and mutual proof for both of the solutions. The presented exact analytic solution, which does not restrict the coefficients in the original dynamic system to merely constants, is thus suitable for the study of information propagation in networks with evolving structure and changing properties. •The first reported exact analytic solution to the SEIR model of information propagation in complex networks with population dynamics.•That the presented exact analytic solution does not restrict the coefficients in the original dynamic system to merely constants makes it suitable for the study of information propagation in social networks with evolving structure and time varying properties.•The similarity between hydrodynamics and the mechanism of information propagation in complex networks may bring about a bridge for research of both subjects.
  • Editor: Elsevier B.V
  • Idioma: Inglês
Voltar para lista de resultados

  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

Buscando em bases de dados remotas. Favor aguardar.