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Stability of the Exponential Type System of Stochastic Difference Equations

Author

Listed:
  • Leonid Shaikhet

    (Department of Mathematics, Ariel University, Ariel 40700, Israel)

Abstract

The method of studying the stability in the probability for nonlinear systems of stochastic difference equations is demonstrated on two systems with exponential and fractional nonlinearities. The proposed method can be applied to nonlinear systems of higher dimensions and with other types of nonlinearity, both for difference equations and for differential equations with delay.

Suggested Citation

  • Leonid Shaikhet, 2023. "Stability of the Exponential Type System of Stochastic Difference Equations," Mathematics, MDPI, vol. 11(18), pages 1-20, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3975-:d:1242928
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    References listed on IDEAS

    as
    1. Xiaohua Ding & Wenxue Li, 2006. "Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2006, pages 1-12, June.
    2. Abdul Qadeer Khan & Leonid Shaikhet, 2022. "Global Dynamics of a Nonsymmetric System of Difference Equations," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, December.
    3. Shaikhet, Leonid, 2023. "Stability of equilibria of exponential type system of three differential equations under stochastic perturbations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 105-117.
    Full references (including those not matched with items on IDEAS)

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    1. Shaikhet, Leonid, 2023. "Stability of equilibria of exponential type system of three differential equations under stochastic perturbations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 105-117.
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