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

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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Veröffentlicht in:Acta Mathematicae Applicatae Sinica 2018, Vol.34 (1), p.145-154
Hauptverfasser: Li, Qiang, Zhang, Qi-min, Cao, Bo-qiang
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Sprache:eng
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Applications of Mathematics
Delay
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Stability
Theoretical
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description 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.
doi_str_mv 10.1007/s10255-018-0732-3
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subjects Applications of Mathematics
Delay
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Stability
Theoretical
title Mean-square Stability of Stochastic Age-dependent Delay Population Systems with Jumps
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