Zafar, Zain Ul AbadinSaeed, Syed TauseefQureshi, Muhammad RehanTunc, Cemil2025-05-102025-05-1020231658-365510.1080/16583655.2023.21900202-s2.0-85150849243https://doi.org/10.1080/16583655.2023.2190020https://hdl.handle.net/20.500.14720/15434Tunc, Cemil/0000-0003-2909-8753In 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.eninfo:eu-repo/semantics/openAccessBazykin-Berezovskaya (Bb) ModelBackward Euler MethodCn MethodEquilibrium PointsNsfd MethodStability AnalysisArticle171Q2Q1WOS:000951097900001