an adaptive time-stepping algorithm for a stochastic lotka–volterra competitive model with time-dependent delays

In this paper, a variable step-size strategy is proposed for a lotka-volterrastochastic competitive model with time-dependent delays. in this adaptive strategy, thenumerical solution proceeds with the milstein method and the step-sizes are determinedby two local error estimators based on the drift and diffusion parts of the model. numericalresults show better accuracy of the proposed strategy compared to a referencefixed step-size mechanism.