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Also many efforts are being made as regards the delay-dependent stability analysis of neural networks [13 23].
By regarding the delay as the bifurcation parameter, the local stability of the positive equilibrium and the existence of Hopf bifurcation are investigated.
Bianca et al. studied the stability and Hopf bifurcation of a mathematical framework that consists of a system of a logistic equation with a delay and an equation for the carrying capacity by regarding the delay as a bifurcation parameter [13].
Dr Brendan O'Brien London N21 Paddy Ashdown is right about the damaging delay of British diplomacy as regards the Syrian crisis.
But many environmentalists said they regarded the delay as an indication that the new administration was not serious about addressing the problem of arsenic.
Blame game going on regarding the delay.
Note also that the assumption as regards the absence of the delay in the first term does not allow us to use this result of [15] in the stabilization in the model of the motion described in (1.1) by the delay control (1.2).
To the best of the authors' knowledge, there are results as regards the stability of delayed neural networks with three different Markovian jumping parameters.
In the context, we have given sufficient conditions for the local stability and the existence of a Hopf bifurcation by regarding the time delay as the bifurcation parameter.
In [18], Dong et al. proposed a delayed SEIR (Susceptible Exposed–Infectious Recovered) computer virus model with multistate antivirus and studied the dynamical behaviors, which include local asymptotical stability and local Hopf bifurcation, by regarding the time delay as bifurcating parameter.
Let (u(t) - u^ = y(t)), then the linearized model (2.7) is frac{d^{alpha} y}{dt^{alpha}} = - my(t) - mu^y(t - upsilon ), (3.1) with the characteristic equation s^{q} + m + mu^e^{ - supsilon} = 0. (3.2) In the following, we investigate the roots distribution of equation (3.2) by regarding the time delay υ as the bifurcation parameter.
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