Asymptotic analysis of an age-structured predator-prey model with ratio-dependent Holling III functional response and delays

DOI10.3934/eect.2022034zbMath1505.92174OpenAlexW4286356228WikidataQ113201420 ScholiaQ113201420MaRDI QIDQ2106059

Dongxue Yan, Yuan Yuan, Xianlong Fu

Publication date: 8 December 2022

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2022034

zbMATH Keywords

time delayHopf bifurcation\(C_0\)-semigroupasymptotical stabilityage-structured predator-prey model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

Cites Work

• Bifurcation analysis of a diffusive predator-prey model with ratio-dependent Holling type III functional response
• Stability and bifurcation in a predator-prey model with age structure and delays
• Hopf bifurcation for non-densely defined Cauchy problems
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Dynamics of age-structured predator-prey population models
• Hopf bifurcation in a size-structured population dynamic model with random growth
• Semigroups of linear operators and applications to partial differential equations
• The qualitative analysis of two species predator-prey model with Holling's type III functional response
• A predator prey model with age structure
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Progression age enhanced backward bifurcation in an epidemic model with super-infection
• The effect of delay on a diffusive predator-prey system with Holling type-II predator functional response
• Hopf bifurcation in an age-structured prey-predator model with Holling III response function
• Theory and applications of abstract semilinear Cauchy problems
• Permanency in predator-prey models of Leslie type with ratio-dependent simplified Holling type-IV functional response
• Hopf bifurcation analysis in a predator-prey model with predator-age structure and predator-prey reaction time delay
• Periodic oscillations in age-structured ratio-dependent predator-prey model with Michaelis-Menten type functional response
• Bifurcation analysis in a predator\,-\,prey system with time delay
• Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration
• Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models
• Global analyses in some delayed ratio-dependent predator-prey systems
• STABILITY AND BIFURCATION IN A DELAYED RATIO-DEPENDENT PREDATOR–PREY SYSTEM
• Projectors on the Generalized Eigenspaces for Partial Differential Equations with Time Delay
• Hopf bifurcation for a predator-prey model with age structure

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