Stochastic Modeling of Three-Species Prey-Predator Model Driven by Levy Jump with Mixed Holling-II and Beddington-DeAngelis Functional Responses
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This study examines the dynamics of a stochastic prey-predator model using a functional response function driven by Levy noise and a mixed Holling-II and Beddington-DeAngelis functional response. The proposed model presents a computational analysis between two prey and one predator population dynamics. First, we show that the suggested model admits a unique positive solution. Second, we prove the extinction of all the studied populations, the extinction of only the predator, and the persistence of all the considered populations under several sufficient conditions. Finally, a special Runge-Kutta method for the stochastic model is illustrated and implemented in order to show the behavior of the two prey and one predator subpopulations.
Açıklama
Anahtar Kelimeler
Prey-Predator, Stochastic Model, Levy Jump, Holling-Ii Functional, Beddington-Deangelis Functional, Runge-Kutta Method
Kaynak
Fractal And Fractional
WoS Q Değeri
Scopus Q Değeri
Cilt
7
Sayı
10
