Periodic solutions and homoclinic bifurcations of two predator-prey systems with nonmonotonic functional response and impulsive harvesting
type: Item
instance of: scholarly article
title: Periodic solutions and homoclinic bifurcations of two predator-prey systems with nonmonotonic functional response and impulsive harvesting
zbMATH Open document ID: 1406.92664
DOI: 10.1155/2014/803764
author: Mingzhan Huang
author: Xinyu Song
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: Two predator-prey models with nonmonotonic functional response and state-dependent impulsive harvesting are formulated and analyzed. By using the geometry theory of semicontinuous dynamic system, we obtain the existence, uniqueness, and stability of the periodic solution and analyse the dynamic phenomenon of homoclinic bifurcation of the first system by choosing the harvesting rate \(\beta\) as control parameter. Besides, we also study the homoclinic bifurcation of the second system about parameter \(\delta\) on the basis of the theory of rotated vector field. Finally, numerical simulations are presented to illustrate the results.
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 7010756
Wikidata QID: Q59052443
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/803764
OpenAlex ID: W1977646672
description: scientific article; zbMATH DE number 7010756