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- W2391623305 abstract "The influence of the stochastic external environment upon the population dynamics system have never been considered in ordinary age-dependent system models.A class of stochastic age-dependent population dynamics system is proposed,on the condition that migration is perturbed by random external environment.The mean square and almost sure exponential stability of stochastic age-dependent population dynamics system are discussed in Hilbert space.Sufficient conditions of mean square and almost sure exponential stability are established for a class of stochastic age-dependent population dynamics system.The analyses are conducted by using Burkholder-Davis-Gundy inequality,Gronwall lemma and Kolmogorov inequality derived for our stability purposes.It is also proposed that if the birth rate can be regarded as a controllable variable,the system is still mean square and almost sure exponential stability.The optimal control can be further studied for stochastic age-dependent population dynamics system." @default.
- W2391623305 created "2016-06-24" @default.
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- W2391623305 date "2004-01-01" @default.
- W2391623305 modified "2023-09-25" @default.
- W2391623305 title "Exponential stability of stochastic age-dependent population dynamics system" @default.
- W2391623305 hasPublicationYear "2004" @default.
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