On an asymptotic-numerical hybrid method for solving singularly perturbed nonlinear delay differential equations

International Conference on Computational and Experimental Science and Engineering (4. : 2017 : Antalya, Turkey)Modelling automatic systems often involves the idea of control because feedback is necessary in order to maintain a stable state. But much of this feedback require a finite time to sense information and react to it. A general way for describing this process is to formulate a delay differential equation (difference-differential equation). Delay differential equations (DDE) are widely used for modelling problems in population dynamics, nonlinear optics, fluid mechanics, mechanical engineering, evolutionary biology and even in modelling of (HIV) infection and human pupil-light reflex. Almost all physical phenomena in nature are modelled using differential equations, and singularly perturbed problems are vital class of these kind of problems. In general, a singular perturbation problem defined as a differential equation that is controlled by a positive small parameter 0