Dynamics of a three-species ratio-dependent diffusive model

DOI10.1016/j.nonrwa.2009.06.005zbMath1208.34070OpenAlexW1982059839WikidataQ57898024 ScholiaQ57898024MaRDI QIDQ974631

Wanbiao Ma, Guangke Gao, Zhixing Hu

Publication date: 3 June 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.06.005

zbMATH Keywords

periodic solutionalmost periodic solutionglobal asymptotic stabilitypermanencestage-structureratio-dependent

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Cites Work

• Global stability and asymptotically periodic solution for nonautonomous cooperative Lotka-Volterra diffusion system
• Positive periodic solution for a semi-ratio-dependent predator-prey system with diffusion and time delays
• Asymptotic behavior of solutions in nonautonomous predator-prey patchy system with Bed\-ding\-ton-type functional response
• Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environ\-ments
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