This affiliate is devoted to cohesion investigation of two mathematical models of rumor and facts spreading. The numerical model of rumor spreading is described by a arrangement of four nonlinear differential equatings, the nonlinear discrete-time model of facts dissemination is characterized by a system of three dissimilarity equations. Equilibria of each system are outlined and it is supposed that the thought-out model is influenced by stochastic perturbations of the various types that are proportional to the change of the system state from one of allure equilibrium. Sufficient environments of stability in possibility for each from the equilibria of the considered model are got via the Routh-Hurwitz test, the Lyapunov functions method and the method of undeviating matrix prejudices (LMIs). The obtained results are pictorial by numerical analysis of appropriate LMIs by way of MATLAB and numerical simulations of resolutions of the considered system of theory of probability differential or dissimilarity equations. An unsolved question is proposed in the second place the presented analyses. The research method used attending can be used to investigate many other differing applications for complementary nonlinear mathematical models with an order of nonlinearity above one.
\Author(s) Details:
Leonid Shaikhet,
Department of Mathematics, Ariel University, Ariel 40700, Israel.
Please see the link here: https://stm.bookpi.org/RHMCS-V9/article/view/10416
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