Exploring the fixed point theory and numerical modeling of fish harvesting system with Allee effect
Yükleniyor...
Dosyalar
Tarih
2025-04-24
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media LLC
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Fish harvesting has a major role in nutritive food that is easily accessible for human nourishment. In this article, a reaction-diffusion fish harvesting model with the Allee effect is analyzed. The study of population models is a need of this hour because by using precautionary measures, mankind can handle the issue of food better. The basic mathematical properties are studied such as equilibrium analysis, stability, and consistency of this model. The Implicit finite difference and backward Euler methods are used for the computational results of the underlying model. The linear analysis of both schemes is derived and schemes are unconditionally stable. By using the Taylor series consistency of both schemes is proved. The positivity of the Implicit finite difference scheme is proved by using the induction technique. A test problem has been used for the numerical results. For the various values of the parameters, the simulations are drawn. The dynamical properties of continuous models, like positivity, are absent from the simulations produced by the backward Euler scheme. Implicit finite difference scheme preserves the dynamical properties of the model such as positivity, consistency, and stability. Simulations of the test problem prove the effectiveness of the Implicit finite difference scheme.
Açıklama
Anahtar Kelimeler
Allee effect, Analysis, Backward Euler scheme, Holling type II, Implicit finite difference scheme, Reaction-diffusion model, Simulations
Kaynak
Modeling Earth Systems and Environment
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
11
Sayı
4
Künye
Yasin, M. W., Akhtar, M., Ahmed, N., Akgül, A., & Al-Mdallal, Q. (2025). Exploring the fixed point theory and numerical modeling of fish harvesting system with Allee effect. Modeling Earth Systems and Environment, 11(4), 1-18.
