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References (18)
-
W. Ma, Q. Zhang, C. Han (2012)
Numerical analysis for stochastic age-dependent population equations with fractional Brownian motionCommun. Nonlinear. Sci. Numer. Simul., 17
-
K. Sobczyk (1991)
Stochastic Differential Equations with Applications to Physics and Engineerin -
I. Elishakoff (1994)
Book Reviews : STOCHASTIC DIFFERENTIAL EQUATIONS WITH APPLICATIONS TO PHYSICS AND ENGINEERING K. Sobczyk Kluwer Academia Publishers Dortreght 1991, 397 ppThe Shock and Vibration Digest, 26
-
Peter Kloeden (1955)
Stochastic differential equationsMathematical Proceedings of the Cambridge Philosophical Society, 51
-
(2002)
Limit Theorems for Stochastic Process -
Hong-ke Wang (2009)
On the Exponential Stability of Stochastic Differential Equations -
Qimin Zhang, Chongzhao Han (2005)
Numerical Analysis for Stochastic Age-Dependent Population Equations2006 International Conference on Machine Learning and Cybernetics
-
Zhu Shao-ping (2009)
Convergence of the Semi-Implicit Euler Method for Stochastic Age-Dependent Population Equations with Poisson Jumps -
X. Mao (2007)
Stochastic Differential Equations and Applications -
Qiyong Li, S. Gan (2012)
Stability of Analytical and Numerical Solutions for Nonlinear Stochastic Delay Differential Equations with JumpsAbstract and Applied Analysis, 2012
-
Wenqiang Wang, Yanping Chen (2011)
Mean-square stability of semi-implicit Euler method for nonlinear neutral stochastic delay differential equationsApplied Numerical Mathematics, 61
-
L. Arnold (1972)
Stochastic Differential Equations: Theory and Applications -
W. Pang, Ronghua Li, Min Liu (2008)
Convergence of the semi-implicit Euler method for stochastic age-dependent population equationsAppl. Math. Comput., 195
-
Qimin Zhang, Wen Liu, Z. Nie (2004)
Existence, uniqueness and exponential stability for stochastic age-dependent populationAppl. Math. Comput., 154
-
La-sheng Wang, Xiaojie Wang (2010)
Convergence of the semi-implicit Euler method for stochastic age-dependent population equations with Poisson jumpsApplied Mathematical Modelling, 34
-
C. Baker, E. Buckwar (2005)
On Halanay-type analysis of exponential stability for the θ-Maruyama method for stochastic delay differential equationsStochastics and Dynamics, 05
-
Ronghua Li, P. Leung, W. Pang (2009)
Convergence of numerical solutions to stochastic age-dependent population equations with Markovian switchingJ. Comput. Appl. Math., 233
-
R. Li, P. Leung, W. Pang (2009)
Convergence of numerical solutions to stochastic age-dependent population equations with Markovian switchingAppl. Math. Comput., 233
- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-018-0732-3
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we present the compensated stochastic θ method for stochastic age-dependent delay population systems (SADDPSs) with Poisson jumps. The definition of mean-square stability of the numerical solution is given and a sufficient condition for mean-square stability of the numerical solution is derived. It is shown that the compensated stochastic θ method inherits stability property of the numerical solutions. Finally, the theoretical results are also confirmed by a numerical experiment.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Mar 8, 2018