Numerical analysis of Bazykin–Berezovskaya model
- Resource Type
- article
- Authors
- Zain Ul Abadin Zafar; Syed Tauseef Saeed; Muhammad Rehan Qureshi; Cemil Tunç
- Source
- Journal of Taibah University for Science, Vol 17, Iss 1 (2023)
- Subject
- Bazykin–Berezovskaya (BB) model
backward Euler method
CN method
equilibrium points
NSFD method
stability analysis
Science (General)
Q1-390
- Language
- English
- ISSN
- 16583655
1658-3655
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.