Global boundedness of cyclic predator-prey systems with self-limiting terms

DOI10.1007/BF03167870zbMath0662.92022WikidataQ115609667 ScholiaQ115609667MaRDI QIDQ3813661

Yorimasa Oshime

Publication date: 1988

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

growth ratesboundednessnonnegative solutionpersistencevector fieldarithmetic meangeometric meanhypersurfacesPerron-Frobenius theoremself-limiting growthlevel surfacesinvariant compact setgrowing-upconditions for finite blowupn-species cyclic food chain of Lotka-Volterra type

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Growth and boundedness of solutions to ordinary differential equations (34C11) Ecology (92D40)

Related Items (3)

Boundedness of three-species cyclic predator-prey systems which lack some self-limiting terms ⋮ On eventual boundedness of Lotka-Volterra ecological systems ⋮ The criteria of ultimate boundedness for nonautonomous Lotka-Volterra tree systems

Cites Work

• Global stability of ecosystems of the generalized Volterra type
• The Volterra model for three species predator-prey systems: Boundedness and stability
• A survey of quadratic systems
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