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Stochastic Analysis of Pine Wilt Epidemic Model With Dynamically Consistent Approximation

Author

Listed:
  • Ali Raza
  • Mohammed Mahyoub Ali Al-Shamiri
  • Wafa F. Alfwzan
  • Muhammad Rafiq
  • Emad Fadhal
  • Nauman Ahmed

Abstract

The present study investigated the dynamics of the nonlinear stochastic pine wilt epidemic model. An extension of the stochastic to deterministic model is presented. Equilibria, positivity, boundedness, extinction, and disease persistence were studied rigorously. Standard and nonstandard numerical techniques like Euler–Maruyama, stochastic Euler, stochastic Runge–Kutta, and stochastic nonstandard finite difference are presented for computational analysis. Furthermore, the nonstandard method is a dynamically consistent approximation of stochastic differential equations of the pine wilt epidemic model that is efficient, low cost, and independent of time‐step size. The comparison section with standard methods strengthens the nonstandard method and supports the theoretical results of the model.

Suggested Citation

  • Ali Raza & Mohammed Mahyoub Ali Al-Shamiri & Wafa F. Alfwzan & Muhammad Rafiq & Emad Fadhal & Nauman Ahmed, 2025. "Stochastic Analysis of Pine Wilt Epidemic Model With Dynamically Consistent Approximation," Complexity, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:complx:v:2025:y:2025:i:1:n:4099469
    DOI: 10.1155/cplx/4099469
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    References listed on IDEAS

    as
    1. Kwang Sung Lee, 2014. "Stability Analysis and Optimal Control Strategy for Prevention of Pine Wilt Disease," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Muhammad Ozair, 2014. "Analysis of Pine Wilt Disease Model with Nonlinear Incidence and Horizontal Transmission," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, June.
    3. Kwang Sung Lee, 2014. "Stability Analysis and Optimal Control Strategy for Prevention of Pine Wilt Disease," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-15, June.
    4. Xiangyun Shi & Guohua Song, 2013. "Analysis of the Mathematical Model for the Spread of Pine Wilt Disease," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, March.
    5. Xiangyun Shi & Guohua Song, 2013. "Analysis of the Mathematical Model for the Spread of Pine Wilt Disease," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    6. Khan, Muhammad Altaf & Khan, Rizwan & Khan, Yasir & Islam, Saeed, 2018. "A mathematical analysis of Pine Wilt disease with variable population size and optimal control strategies," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 205-217.
    7. Muhammad Ozair, 2014. "Analysis of Pine Wilt Disease Model with Nonlinear Incidence and Horizontal Transmission," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    8. Din, Anwarud & Li, Yongjin & Yusuf, Abdullahi, 2021. "Delayed hepatitis B epidemic model with stochastic analysis," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
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