On the predator-prey system with Holling-\((n+1)\) functional response

DOI10.1007/s10114-005-0603-8zbMath1123.34314OpenAlexW2077564217WikidataQ115606169 ScholiaQ115606169MaRDI QIDQ856809

Wei Wang, Jian-Hua Sun

Publication date: 13 December 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0603-8

zbMATH Keywords

predator-preyLienard systemHolling- type functional response

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (9)

Limit cycles in a Gause-type predator-prey model with sigmoid functional response and weak Allee effect on prey ⋮ Analysis of a stochastic predator-prey model with weak Allee effect and Holling-(n+1) functional response ⋮ Positive steady states of a strongly coupled predator-prey system with Holling-\((n + 1)\) functional response ⋮ Spatiotemporal Patterns of a Predator–Prey System with an Allee Effect and Holling Type III Functional Response ⋮ Existence and global attractivity of positive periodic solutions for a delayed predator-prey model with mutual interference and functional response ⋮ Role of multiple time delays on a stage-structured predator-prey system in a toxic environment ⋮ Dynamics of a density-dependent stage-structured predator-prey system with Beddington-DeAngelis functional response ⋮ Multiple limit cycles in a Gause type predator-prey model with Holling type III functional response and Allee effect on prey ⋮ Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge

Cites Work

• The qualitative analysis of two species predator-prey model with Holling's type III functional response
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations
• On a Kind of Predator-Prey System
• Uniqueness of a Limit Cycle for a Predator-Prey System
• On a predator-prey system of Holling type
• Qualitative properties of two-dimensional predator-prey systems
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