Existence and multiplicity of positive periodic solutions of ratio-dependent food chain model

DOI10.1186/s13661-016-0653-0zbMath1346.34048OpenAlexW2500052824WikidataQ59466680 ScholiaQ59466680MaRDI QIDQ308529

Zhijun Zeng

Publication date: 6 September 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0653-0

zbMATH Keywords

periodic solutioncoincidence degreeratio-dependentexploited term

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13)

Cites Work

• Unnamed Item
• Existence of multiple positive periodic solutions to a periodic predator-prey system with harvesting terms and Holling III type functional response
• Dynamics of a non-autonomous ratio-dependent food chain model
• Existence of four positive periodic solutions for a ratio-dependent predator-prey system with multiple exploited (or harvesting) terms
• Coincidence degree, and nonlinear differential equations
• Parametric analysis of the ratio-dependent predator-prey model
• A ratio-dependent food chain model and its applications to biological control.
• Multiple positive periodic solutions for a generalized delayed population model with an exploited term
• Existence of at least two periodic solutions of a ratio-dependent predator-prey model with exploited term
• Global analyses in some delayed ratio-dependent predator-prey systems
• Dynamics of a non-autonomous ratio-dependent predator—prey system
• The existence of eight positive periodic solutions for a generalized prey-predator system with delay and stocking
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system

This page was built for publication: Existence and multiplicity of positive periodic solutions of ratio-dependent food chain model