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Traveling wave in an eco-epidemiological model with diffusion and convex incidence rate: Dynamics and numerical simulation

Author

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  • Bagheri, Safieh
  • Akrami, Mohammad Hossein
  • Loghmani, Ghasem Barid
  • Heydari, Mohammad

Abstract

This work aims at studying an epidemic model for infections in the predator–prey interaction with diffusion. We inspected the stability of the model without a diffusion case. The incidence rate is assumed to be convex relative to the infectious class. Traveling wave solutions and the minimum wave speed are also obtained using the ”linear determinacy”. Furthermore, a combined scheme based on the finite difference method and the Runge–Kutta–Fehlberg method is applied to obtain the numerical simulations. Numerical results show that by selecting the appropriate conditions and embedding parameters in the governing equations, the traveling wave solutions in the proposed eco-epidemiological model are consistent with the minimum wave speed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:216:y:2024:i:c:p:347-366
    DOI: 10.1016/j.matcom.2023.10.001
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