RATIO-DEPENDENT PREDATOR–PREY MODEL WITH STAGE STRUCTURE AND TIME DELAY

DOI10.1142/S1793524511001556zbMath1280.92080WikidataQ115522944 ScholiaQ115522944MaRDI QIDQ5397004

Lijuan Zha, Xue-Yong Zhou, Jing-An Cui

Publication date: 5 February 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

time delaycharacteristic equationstage structureratio-dependentglobally asymptotical stability

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (3)

Convergences of a stage-structured predator-prey model with modified Leslie-Gower and Holling-type II schemes ⋮ Dynamics of a harvested stage‐structured predator–prey model with distributed maturation delay ⋮ Impact of predator on the host-vector disease model with stage structure for the vector

Cites Work

• Stability and Hopf bifurcation analysis on a predator-prey model with discrete and distributed delays
• Permanence and extinction of a periodic predator - prey delay system with functional response and stage structure for prey
• Hopf bifurcation and global stability for a delayed predator-prey system with stage structure for predator
• Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure
• Time delay in prey-predator models. II: Bifurcation theory
• Bifurcations in a predator-prey model with memory and diffusion. II: Turing bifurcation
• Global dynamics of an SEIR epidemic model with saturating contact rate
• Global qualitative analysis for a ratio-dependent predator-prey model with delay.
• On a nonlinear nonautonomous predator--prey model with diffusion and distributed delay
• The study of a ratio-dependent predator-prey model with stage structure in the prey
• A time-delay model of single-species growth with stage structure
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• ANALYSIS OF STABILITY AND PERSISTENCE IN A RATIO-DEPENDENT PREDATOR-PREY RESOURCE MODEL
• PERSISTENCE AND GLOBAL STABILITY IN A PREDATOR-PREY SYSTEM WITH DELAY
• GLOBAL STABILITY OF A STAGE-STRUCTURED PREDATOR-PREY SYSTEM
• The effect of dispersal on population growth with stage-structure
• Optimal harvesting and stability for two-species competitive system with stage structure

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