Mean-square Stability of Stochastic Age-dependent Delay Population Systems with Jumps

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 i...

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Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 34; no. 1; pp. 145 - 154
Main Authors Li, Qiang, Zhang, Qi-min, Cao, Bo-qiang
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2018
Springer Nature B.V
EditionEnglish series
Subjects
Applications of Mathematics
Delay
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Stability
Theoretical
35R60
65C30
poisson jumps
stochastic age-dependent delay population systems
mean-square stability
60H15
compensated stochastic θ method
60H35
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Summary: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.
Bibliography:11-2041/O1
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.
stochastic age-dependent delay population systems; compensated stochastic θ method; poisson jumps; mean-square stability
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-018-0732-3