Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1237.65064
Gao, Jianfang; Song, Minghui; Liu, Mingzhu
Oscillation analysis of numerical solutions for nonlinear delay differential equations of population dynamics. (English)
[J] Math. Model. Anal. 16, No. 3, 365-375 (2011). ISSN 1392-6292; ISSN 1648-3510/e

The authors investigate oscillations of the numerical solution of a nonlinear delay differential equation of population dynamics. An exponential convergence linear $\theta$-method is constructed. They obtain conditions under which the numerical solution oscillates in the case of oscillations of the analytic solution. It is proved that non-oscillatory numerical solutions can preserve properties of non-oscillatory analytic solutions. Applications are to a ``dynamic disease'' which involves respiratory disorders, called Cheyne-Stokes respiration.
[Rémi Vaillancourt (Ottawa)]

MSC 2000:: *65L03
92D25 Population dynamics
92C50 Medical appl. of mathematical biology
34K11 Oscillation theory of functional-differential equations
34K28 Numerical approximation of solutions of FDE
65L20 Stability of numerical methods for ODE
65L12 Finite difference methods for ODE

Keywords: oscillation; nonlinear delay differential equation; population dynamics; exponential convergence; linear $\theta$-method; dynamic disease; Cheyne-Stokes respiration

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]