Multiplicity of periodic solutions for a delayed ratio-dependent predator-prey model with Holling type III functional response and harvesting terms

DOI10.1016/j.jmaa.2009.11.009zbMath1188.34112OpenAlexW4213363731WikidataQ115570427 ScholiaQ115570427MaRDI QIDQ2267473

Lin-Lin Wang, Yong-Hong Fan

Publication date: 1 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.11.009

zbMATH Keywords

functional responsepredator-prey modelpositive periodic solutiongeneralized continuation theorem

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (11)

Existence of four periodic solutions for a generalized delayed ratio-dependent predator-prey system ⋮ Periodic solutions for a neutral delay Hassell-Varley type predator-prey system ⋮ Global stability of solutions in a reaction-diffusion system of predator-prey model ⋮ Positive periodic solutions in a non-selective harvesting predator-prey model with multiple delays ⋮ A condition on delay for differential equations with discrete state-dependent 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 ⋮ The study of global stability of a periodic Beddington-DeAngelis and Tanner predator-prey model ⋮ Global stability in a diffusive Beddington-DeAngelis and Tanner predator-prey model ⋮ The study of global stability of a diffusive Michaelis-Menten and tanner predator-prey model ⋮ The study of global stability of a diffusive Beddington-Deangelis and tanner predator-prey model

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