Singularly Perturbed Systems with Diffusion and Time Delay

Chang You Wang; Qi Dou; Xiang Wei  Li

doi:10.4028/www.scientific.net/AMR.989-994.1969

Paper Titles

Research on an Embedded Ultra-Low-Bit-Rate Speech Coding Algorithm
p.1951

Research on Materialized Views under Disk-Space Constraint in Data Warehouse
p.1955

Review of Otsu Segmentation Algorithm
p.1959

Non-Linear Least Squares Large Misalignment Estimation in Transfer Alignment
p.1962

Singularly Perturbed Systems with Diffusion and Time Delay
p.1969

An Algorithm of DOA Estimation in Linear Canonical Transform Domain
p.1973

Computerized Simulation of Board-Level EMC in High-Speed PCB
p.1977

On Application of Texture Mapping Technology in Simulation
p.1981

The Discussion on the Improved Association Rules Algorithm in Data Mining
p.1985

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 989-994Singularly Perturbed Systems with Diffusion and...

Singularly Perturbed Systems with Diffusion and Time Delay

Abstract:

The singularly perturbed systems for the nonlinear three-species food-chain reaction systems with time delay are considered. By using the method of the stretched variable, the formal asymptotic solution is obtained under suitable conditions.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 989-994)

Pages:

1969-1972

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.989-994.1969

Citation:

Cite this paper

Online since:

July 2014

Authors:

Chang You Wang*, Qi Dou, Xiang Wei Li

Keywords:

Formal Solution, Reaction Diffusion, Singular Perturbation, Time Delay

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] E. M. De Jager, F. R. Jiang. The theory of singular perturbation, North Holland Publishing Co., Amsterdam, (1996).

Google Scholar

[2] R.Z. Khasminskii, G. Yin. Limit behavior of two-time-scale diffusions revisited. Journal of Differential Equations 212 (2005) 85–113.

DOI: 10.1016/j.jde.2004.08.013

Google Scholar

[3] J. Mo. A kind of four order semilinear singular perturbation solution. Applied Mathematics and Mechanics 30 (2009) 1369-1373.

Google Scholar

[4] A. Kaushik. Singular perturbation analysis of bistable differential equation arising in the nerve pulse propagation. Nonlinear Anal. Real World Appl. 9 (2008) 2106–2127.

DOI: 10.1016/j.nonrwa.2007.06.014

Google Scholar

[5] J. Mo, H. Wang. Generalized Lotke-Vollterra ecological model of nonlinear singularly perturbed approximate solution. Journal of Ecology 27 (2007) 4366-4370.

Google Scholar

[6] J. Shen, M. Han. Canard solution and its asymptotic approximation in a second-order nonlinear singularly perturbed boundary value problem with a turning point. Commun Nonlinear Sci Numer Simulat 19 (2014) 2632-2643.

DOI: 10.1016/j.cnsns.2013.12.033

Google Scholar

[7] S. Gowrisankar, S. Natesan. The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids. Applied Mathematics Letters 26 (2013) 1053-1060.

DOI: 10.1016/j.aml.2013.05.017

Google Scholar

[8] C. Wang, X. Hu, Existence and uniqueness of bounded solution and periodic solution of reaction-diffusion equation with time delay. Journal of Chongqing University of Posts and Telecommunication (Natural Science Edition), 17 (2005).

Google Scholar

[9] C. Wang, Periodic solution of prey predator model with diffusion and distributed delay effects. Journal of Chongqing University of Posts and Telecommunication (Natural Science Edition), . 18 (2006) 409–412, (2006).

Google Scholar