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Host vector dynamics of pine wilt disease model with convex incidence rate

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  • Rahman, Ghaus ur
  • Shah, Kamal
  • Haq, Fazal
  • Ahmad, Naveed

Abstract

The present studies provide qualitative aspects of pine wilt disease model while incorporating convex incidence rate. Studying the nature of the proposed model, it is shown that the basic reproductive number completely determine various dynamics of the model. The global asymptotic stability analysis is expounded at different equilibrium points. The model has shown that the disease disappear, when the threshold quantity falls below unity. Numerical results are presented graphically to illustrate theoretical discussions.

Suggested Citation

  • Rahman, Ghaus ur & Shah, Kamal & Haq, Fazal & Ahmad, Naveed, 2018. "Host vector dynamics of pine wilt disease model with convex incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 31-39.
    • Handle: RePEc:eee:chsofr:v:113:y:2018:i:c:p:31-39
    DOI: 10.1016/j.chaos.2018.05.010
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    References listed on IDEAS

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    1. Jin, Yu & Wang, Wendi & Xiao, Shiwu, 2007. "An SIRS model with a nonlinear incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1482-1497.
    2. 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.
    3. Kwang Sung Lee & Abid Ali Lashari, 2014. "Global Stability of a Host-Vector Model for Pine Wilt Disease with Nonlinear Incidence Rate," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, January.
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    Cited by:

    1. Abdullah, & Ahmad, Saeed & Owyed, Saud & Abdel-Aty, Abdel-Haleem & Mahmoud, Emad E. & Shah, Kamal & Alrabaiah, Hussam, 2021. "Mathematical analysis of COVID-19 via new mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Qureshi, Sania, 2020. "Periodic dynamics of rubella epidemic under standard and fractional Caputo operator with real data from Pakistan," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 151-165.
    3. Shah, Kamal & Alqudah, Manar A. & Jarad, Fahd & Abdeljawad, Thabet, 2020. "Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    4. Bagheri, Safieh & Akrami, Mohammad Hossein & Loghmani, Ghasem Barid & Heydari, Mohammad, 2024. "Traveling wave in an eco-epidemiological model with diffusion and convex incidence rate: Dynamics and numerical simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 216(C), pages 347-366.

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