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The existence and asymptotic behaviour of energy solutions to stochastic age-dependent population equations driven by Levy processes

Author

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  • Ma, Weijun
  • Ding, Baocang
  • Zhang, Qimin

Abstract

In this paper, we introduce a class of stochastic age-dependent population equations driven by Levy processes. Existence and uniqueness of energy solutions for stochastic age-dependent population dynamic system are proved under Lipschitz condition in Hilbert space. The moment boundedness of the approximate solution by the Galerkin method is considered. We discuss by using the energy equality the exponential stability theorems of the energy solution to stochastic age-dependent population equations.

Suggested Citation

  • Ma, Weijun & Ding, Baocang & Zhang, Qimin, 2015. "The existence and asymptotic behaviour of energy solutions to stochastic age-dependent population equations driven by Levy processes," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 656-665.
    • Handle: RePEc:eee:apmaco:v:256:y:2015:i:c:p:656-665
    DOI: 10.1016/j.amc.2015.01.077
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    Cited by:

    1. Liu, Lidan & Meng, Xinzhu & Zhang, Tonghua, 2017. "Optimal control strategy for an impulsive stochastic competition system with time delays and jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 99-113.
    2. Shi, Chunmei, 2021. "The convergence and stability of full discretization scheme for stochastic age-structured population models," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    3. Ponosov, Arcady & Idels, Lev & Kadiev, Ramazan, 2020. "Stochastic McKendrick–Von Foerster models with applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

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