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

Autor: Ladino, Lilia M., Sabogal, Edison I., Valverde, Jose C.
Předmět:
Zdroj: Mathematical Methods in the Applied Sciences; Sep2015, Vol. 38 Issue 13, p2876-2887, 12p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index