The dynamical properties of a stochastic non-autonomous ratio-dependent predator– prey system are studied by applying the theory of stochastic differential equations, Itˆo’s formula and the method of Lyapunov functions. First, the existence, the uniq
With the emergence of vehicle-to-vehicle communi-cation technology, cooperative adaptive cruise control (CACC) cars can be expected in the near future. In this paper, novel criteria for string stability are proposed for mixed traffic platoons that c
This paper investigates the stochastic non-autonomous logistic system with time delays. Under two simple assumptions on the environmental noise, it is shown that the stochastic system has a unique global positive solution, and this positive solution
For a weakly and periodically driven two-component Bose-Einstein condensate (BEC) the Melnikov chaotic solution and boundedness conditions are derived from a direct perturbation theory that leads to the chaotic regions in the parameter space. Differi