Oscillation Of Two Kinds Of Nicholson Model And A Kind Of Energy Price Model

Delay differential equations are widely used in biology,medicine and so on.It is of great significance to study the properties of equations.In this paper,we mainly study the oscillation of solutions of two kinds of nonlinear models with delay terms,Nicholson model and energy price model.By studying the oscillation of the analytical and numerical solutions of these two types of nonlinear delay differential equations,the oscillation conditions of the analytical and numerical solutions are given,which can help us better analysis the actual problems and make accurate judgements on the future development trend.The properties of nonoscillatory solutions of Nicholson model are also discussed.In the third chapter,we mainly consider the oscillation of the analytical solution and numerical solution of a kind of Nicholson model.Through linearization conditions,the oscillation of nonlinear delay differential equation is transformed into the oscillation of linear delay differential equation.Then delay differential equation is transformed into the difference equation by using the linear θ-method.The oscillation conditions of numerical solutions and the asymptotic properties of non-oscillatory solutions are discussed.Finally,some examples are given.In the fourth chapter,we mainly consider the oscillation of the numerical solution of a kind of energy price model.At first,we get the theoretical results of the oscillation of the solution of a kind of second-order delay differential equation.Then,by using the θ-method and implicit Euler method,transform the model into a difference equation,and obtain oscillation conditions of numerical solutions of this model.Finally,some examples are given.