Nonstandard Finite Difference Theta Approaches to the Predator-Prey System
Küçük Resim Yok
Tarih
2026
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we propose nonstandard finite difference theta schemes for a well-known Lotka-Volterra model without the Allee effect and investigate the dynamical behavior of the discretized system. We prove that the scheme is dynamically consistent with the continuous model, preserving key properties such as the positivity of solutions and the stability of equilibrium points. Numerical experiments are conducted to validate the theoretical results and demonstrate the superiority of the proposed schemes over standard methods in maintaining these critical properties.
Açıklama
Anahtar Kelimeler
Lotka-Volterra system, nonstandard finite difference theta method, positivity, predator-prey, stability
Kaynak
Mathematical Methods in The Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
