Browsing by Author "Qureshi, Muhammad Rehan"

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    Numerical Analysis of Bazykin-Berezovskaya Model
    (Taylor & Francis Ltd, 2023) Zafar, Zain Ul Abadin; Saeed, Syed Tauseef; Qureshi, Muhammad Rehan; Tunc, Cemil
    In this manuscript, a Bazykin-Berezovskaya model with diffusion by strong Allee effects is studied. Neumann boundary conditions are used to see the positive solution of a diffusion system. Local stability analyses are discussed for all the equilibrium points. The analysis of stability for the proposed scheme is also given. Implicit finite difference schemes like: Euler, Crank-Nicolson (CN) and non-standard finite difference (NSFD) are used to verify the simulation by numerically. A comparison reveals that NSFD method is unconditionally stable for any temporal step-size.