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Numerical solution of a fuzzy stochastic single-species age-structure model in a polluted environment

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  • Zhao, Yu
  • Yuan, Sanling
  • Zhang, Qimin

Abstract

This paper presents an investigation of a fuzzy stochastic single-species age-structure model in a polluted environment. Both the fuzziness of the initial condition and the stochastic disturbance of the environment are incorporated into the model. By using the theory of fuzzy stochastic differential equation (FSDE) and the successive approximation, the global existence and uniqueness of solutions of the model are proved. In addition, the error estimation and stability of the numerical solutions are obtained. Furthermore, making use of Euler–Maruyama (EM) method, the convergence of the EM numerical approximation is established. Numerical simulations are carried out to verify the theoretical results. Our results show that the technique of numerical solution of FSDE can be used to estimate the evolution tendency of the population density in a polluted environment.

Suggested Citation

  • Zhao, Yu & Yuan, Sanling & Zhang, Qimin, 2015. "Numerical solution of a fuzzy stochastic single-species age-structure model in a polluted environment," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 385-396.
    • Handle: RePEc:eee:apmaco:v:260:y:2015:i:c:p:385-396
    DOI: 10.1016/j.amc.2015.03.097
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    References listed on IDEAS

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    1. Liu, Meng & Wang, Ke, 2009. "Survival analysis of stochastic single-species population models in polluted environments," Ecological Modelling, Elsevier, vol. 220(9), pages 1347-1357.
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    Cited by:

    1. Yanyan Du & Zong Wang, 2024. "Stationary Distribution of Stochastic Age-Dependent Population–Toxicant Model with Markov Switching," Mathematics, MDPI, vol. 12(8), pages 1-20, April.
    2. Jian Wu, 2019. "Analysis of a Three-Species Stochastic Delay Predator-Prey System with Imprecise Parameters," Methodology and Computing in Applied Probability, Springer, vol. 21(1), pages 43-67, March.

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