Positive periodic solution for a multispecies competition-predator system with Holling III functional response and time delays

DOI10.1016/j.amc.2010.10.014zbMath1206.92041OpenAlexW1969093698WikidataQ115598560 ScholiaQ115598560MaRDI QIDQ627137

Haibo Chen, Zuowei Cai, Li-Hong Huang

Publication date: 21 February 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.014

zbMATH Keywords

periodic solutionglobal asymptotic stabilityHolling-III functional responseMawhin's continuous theorem

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Ecology (92D40) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (8)

Permanence and almost periodic solution of a Lotka-Volterra model with mutual interference and time delays ⋮ On random periodic solution to a neutral stochastic functional differential equation ⋮ Almost periodic solution of a multispecies discrete mutualism system with feedback controls ⋮ Almost periodic sequence solutions of a discrete predator-prey system with Beddington-DeAngelis functional response ⋮ Hopf bifurcation in an age-structured prey-predator model with Holling III response function ⋮ Periodic solution to a multispecies predator-prey competition dynamic system with Beddington-DeAngelis functional response and time delay. ⋮ Multiple positive periodic solutions for an n-species competition predator-prey system on time scales ⋮ A delayed Holling type III functional response predator-prey system with impulsive perturbation on the prey

Cites Work

• Positive periodic solution for a semi-ratio-dependent predator-prey system with diffusion and time delays
• Periodic solutions for a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay
• Existence and global attractivity of a periodic solution to a nonautonomous dispersal system with delays
• Ordinary differential equations with nonlinear boundary conditions
• Convergence results in a well-known delayed predator-prey system
• Existence and global stability of positive periodic solutions of a predator-prey system with delays
• Periodic solutions for a predator-prey model with Holling-type functional response and time delays
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