An application of the Atangana-Baleanu fractional derivative in mathematical biology: A three-species predator-prey model
   
Yazarlar (3)
Behzad Ghanbari
Kermanshah University Of Technology, İran
Doç. Dr. Hatıra GÜNERHAN Kafkas Üniversitesi, Türkiye
H. M. Srivastava
University Of Victoria, Kanada
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Chaos Solitons and Fractals
Dergi ISSN 0960-0779 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 09-2020
Cilt / Sayı / Sayfa 138 / 1 / 109910–0 DOI 10.1016/j.chaos.2020.109910
Makale Linki http://dx.doi.org/10.1016/j.chaos.2020.109910
Özet
In recent decades, studying the behavior of biological species has become one of the most fascinating areas of applied mathematics. The high importance of conservation of rare species in nature has prompted researchers in various fields to pay particular attention to this issue. Therefore, it is essential to develop mathematical models that examine the dynamics of their behavior. On the other hand, the development of new concepts in numerical analysis has enabled us to preserve more information on the evolutionary behavior history of a dynamic system and to use it in predicting the new features of the system. Fractional derivatives have provided such a valuable tool. This paper studies a dynamic system that models the interactions between two densities of immature and mature prey and predator populations. In the model, prey population is divided into two populations, including mature prey and immature prey …
Anahtar Kelimeler
Approximate solutions | Atangana-Baleanu derivative | Computational approach | Mathematical biology | Non-local and Non-singular kernels | Predator and prey model