General functional response and recruitment in a predator–prey system with capture on both species | Zendy

Ladino Lilia M. | Zendy; Sabogal Edison I. | Zendy; Valverde Jose C. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

General functional response and recruitment in a predator–prey system with capture on both species

Author(s) -

Ladino Lilia M.,

Sabogal Edison I.,

Valverde Jose C.

Publication year - 2014

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3271

Subject(s) - functional response , predation , predator , mathematics , population , dynamics (music) , numerical response , ecology , biological system , control theory (sociology) , computer science , biology , artificial intelligence , physics , demography , control (management) , sociology , acoustics

This work provides a mathematical model for a predator‐prey system with general functional response and recruitment, which also includes capture on both species, and analyzes its qualitative dynamics. The model is formulated considering a population growth based on a general form of recruitment and predator functional response , as well as the capture on both prey and predators at a rate proportional to their populations. In this sense, it is proved that the dynamics and bifurcations are determined by a two‐dimensional threshold parameter. Finally, numerical simulations are performed using some ecological observations on two real species, which validate the theoretical results obtained. Copyright © 2014 John Wiley & Sons, Ltd.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research