Abstract
In this paper, stochastic age-dependent population equations, one of the important classes of hybrid systems, are studied. In general, most of stochastic age-dependent population equations do not have explicit solutions. Thus numerical approximation schemes are invaluable tools for exploring their properties. The main purpose of this paper is to develop a numerical scheme and show the convergence of the numerical approximation solution to the true solution.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cushing, J.: The Dynamics of Hierarchical Age-structured Populations. J. Math. Biol. 32, 705–729 (1994)
Allen, L., Thrasher, D.: The Effects of Vaccination in An Age-dependent Model for Varicella and Herpes Zoster. IEEE Tran. Auto. Contr. 43, 779–789 (1998)
Zhang, Q., Liu, W., Nie, Z.: Existence, Uniqueness and Exponential Stability for Stochastic Age-dependent Population. Appl. Math. Compu. 154, 183–201 (2004)
Pollard, J.: On The Use of The Direct Matrix Product in Analyzing Certain Stochastic Population Model. Biom. 53, 397–415 (1966)
Zhang, Q., Han, C.: Numerical Analysis for Stochastic Age-dependent Population Equations. Appl. Math. Compu. 169, 278–294 (2005)
Abia, L., López-Marcos, J.: On The Numerical Integration of Non-local Terms for Age-structured Population Models. Math. Biosc. 157, 147–167 (1999)
Kostova, T.: Numerical Solutions to Equations Modelling Nonlinearly Interacting Age-dependent Populations. Comput. Math. Applic. 19, 95–103 (1990)
Milner, F., Rabbiolo, G.: Rapidly Converging Numerical Algorithms for Models of Population Dynamics. J. Math. Biol. 30, 733–753 (1992)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhang, Q., Li, X. (2006). Analysis of Numerical Solutions to Stochastic Age-Dependent Population Equations. In: Huang, DS., Li, K., Irwin, G.W. (eds) Computational Intelligence and Bioinformatics. ICIC 2006. Lecture Notes in Computer Science(), vol 4115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11816102_62
Download citation
DOI: https://doi.org/10.1007/11816102_62
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37277-6
Online ISBN: 978-3-540-37282-0
eBook Packages: Computer ScienceComputer Science (R0)