Existence of \(2n\) positive periodic solutions to \(n\)-species nonautonomous food chains with harvesting terms

DOI10.1155/2010/262461zbMath1194.34089OpenAlexW2002994204WikidataQ59251215 ScholiaQ59251215MaRDI QIDQ963097

Kaihong Zhao, Li Yong Kun

Publication date: 8 April 2010

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/262461

zbMATH Keywords

coincidence degreefood chain model

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items

Multiple periodic solutions to a kind of Lotka-Volterra food-chain system with delays and impulses on time scales

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic solution for a three-species Lotka-Volterra food-chain model with time delays
• Multiple periodic solutions of an impulsive predator-prey model with Holling-type IV functional response
• Dynamic complexities of a food chain model with impulsive perturbations and Beddington-DeAngelis functional response
• Periodic solutions of a discrete time Lotka--Volterra type food-chain model with delays
• Positive periodic solutions of discrete three-level food-chain model of Holling type II
• Persistence and global stability of positive periodic solutions of three species food chains with omnivory
• Existence of periodic solutions in \(n\)-species food-chain system with impulsive
• Four positive periodic solutions to a periodic Lotka-Volterra predatory-prey system with harvesting terms
• Coincidence degree, and nonlinear differential equations
• Optimal harvesting-coefficient control of steady-state prey-predator diffusive Volterra-Lotka systems
• Existence and global stability of periodic solutions of a discrete ratio-dependent food chain model with delay
• Multiple periodic solutions of delayed predator--prey systems with type IV functional responses
• The dynamic complexity of a three-species Beddington-type food chain with impulsive control strategy
• Bifurcation and chaos in a Monod-Haldane type food chain chemostat with pulsed input and washout
• A Holling II functional response food chain model with impulsive perturbations
• Positive periodic solutions of discrete \(n\)-species food-chain systems
• Four positive periodic solutions to a Lotka-Volterra cooperative system with harvesting terms

This page was built for publication: Existence of \(2n\) positive periodic solutions to \(n\)-species nonautonomous food chains with harvesting terms