Low- and high-frequency oscillations in a food chain where one of the competing species feeds on the other

DOI10.1016/0895-7177(94)90071-XzbMath0807.92026OpenAlexW2082960434MaRDI QIDQ1339841

Chulin Likasiri, Yongwimon Lenbury

Publication date: 11 December 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)90071-x

zbMATH Keywords

attractorslimit cyclessimulationsthree-species food chaintransientstrophic levelsbursts of high- frequency oscillationsHolling type functional responseslow-frequency cycles

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ecology (92D40) Singular perturbations of ordinary differential equations (34D15) Applications of dynamical systems (37N99)

Related Items (5)

Complex dynamics in a food chain with slow and fast processes ⋮ Frequency modes of unstable spiral waves in two-dimensional Rosenzweig-MacArthur ecological networks ⋮ Equilibriumizing all food chain chaos through reproductive efficiency ⋮ Food chain chaos due to junction-fold point ⋮ Singular perturbation analysis of a model for the effect of toxicants in single-species systems.

Cites Work

• Limit cycles in slow-fast forest-pest models
• Mathematical analysis of some three-species food-chain models
• Asymptotic stability in singular perturbation problems. II: Problems having matched asymptotic expansion solutions
• Low- and High-Frequency Oscillations in Three-Dimensional Food Chain Systems
• Remarks on Competitive Coexistence

This page was built for publication: Low- and high-frequency oscillations in a food chain where one of the competing species feeds on the other