Oscillations of Numerical Solutions for Nonlinear Delay Differential Equations in the Control of Erythropoiesis | Zendy

Qi Wang | Zendy; Jiechang Wen | Zendy

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Oscillations of Numerical Solutions for Nonlinear Delay Differential Equations in the Control of Erythropoiesis

Author(s) -

Qi Wang,

Jiechang Wen

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/936351

Subject(s) - nonlinear system , erythropoiesis , numerical analysis , mathematics , computer simulation , differential equation , computer science , exponential integrator , point (geometry) , mathematical analysis , physics , simulation , geometry , ordinary differential equation , medicine , differential algebraic equation , quantum mechanics , anemia

We consider the oscillations of numerical solutions for the nonlinear delay differential equations in the control of erythropoiesis. The exponential θ-method is constructed and some conditions under which the numerical solutions oscillate are presented. Moreover, it is proven that every nonoscillatory numerical solution tends to the equilibrium point of the continuous system. Numerical examples are given to illustrate the main results

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