General functional response and recruitment in a predator–prey system with capture on both species |
| |
Authors: | Lilia M Ladino Edison I Sabogal Jose C Valverde |
| |
Institution: | 1. Department of Mathematics and Physics, University of Los Llanos, Colombia;2. Department of Mathematics, University of Castilla‐La Mancha, Spain |
| |
Abstract: | 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. |
| |
Keywords: | nonlinear dynamics global stability bifurcations Lyapunov methods simulations |
|
|