Hopf bifurcation, Hopf-hopf bifurcation, and period-doubling bifurcation in a four-species food web

DOI10.1155/2018/8394651zbMath1427.34050OpenAlexW2892812716WikidataQ114613371 ScholiaQ114613371MaRDI QIDQ1721529

Shengnan Ma, Xuebing Cong, Ju Kang, Hai Huang, Huayong Zhang, Tousheng Huang

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/8394651

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (2)

Hopf-Bifurcation and Pattern Selections in a Three Trophic Level Food Web System ⋮ Coexistence in a four-species food web model with general functional responses

Cites Work

• Stability and bifurcation analysis in a predator-prey system with Michaelis-Menten type predator harvesting
• Controlling Hopf-Hopf interaction bifurcations of a two-degree-of-freedom self-excited system with dry friction
• A three species dynamical system involving prey-predation, competition and commensalism
• On the bifurcation analysis of a food web of four species
• Hopf-Hopf bifurcation and invariant torus \(T^{2}\) of a vibro-impact system
• Complex behavior of prey-predator system exhibiting group defense: A mathematical modeling study
• Stability and bifurcation analysis of a prey-predator model with age based predation
• Dynamical properties of a prey-predator-scavenger model with quadratic harvesting
• Complex patterns in a space- and time-discrete predator-prey model with Beddington-DeAngelis functional response
• Analysis of three species Lotka-Volterra food web models with omnivory
• Dynamical study of a prey-predator system with a commensal species competing with prey species: effect of time lag and alternative food source
• Complex behaviour in four species food-web model
• Elements of applied bifurcation theory
• Unnamed Item
• Unnamed Item

This page was built for publication: Hopf bifurcation, Hopf-hopf bifurcation, and period-doubling bifurcation in a four-species food web