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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.