Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...

Ms. Sharwline Nicholson probably did not realize that what she experienced on January 7, 1999 would change her life, the lives of her two children, and ultimately, the lives of many other battered mothers and children in New York. A thirty-two-year-old mother of two, Ms. Nicholson worked as a full-time cashier and attended classes full-time at Mercy College. Mr. Barnett, the father of Ms. Nicho...

In this paper, a delayed Nicholson,s blowflies model with a linear harvesting term is investigated. Regarding the delay as a bifurcation parameter, we show that Hopf bifurcation will occur when the delay crosses a critical value. Numerical simulations supporting the theoretical findings are carried out. Keywords—Nicholson,s blowflies model; Stability; Hopf bifurcation; Delay.