The effect of long time delays in predator-prey systems

DOI10.1016/0040-5809(85)90010-3zbMath0566.92020OpenAlexW2030096088WikidataQ49164431 ScholiaQ49164431MaRDI QIDQ1059574

Len Nunney

Publication date: 1985

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(85)90010-3

zbMATH Keywords

local stabilitygeneral predator-prey modeldelayed predator recruitmentlong maturational time delaysprey self-regulationshort delays

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

Related Items (9)

Three-species food-chain models with mutual interference and time delays ⋮ The impact of non-lethal synergists on the population and evolutionary dynamics of host-pathogen interactions ⋮ A delayed prey-predator system with migration and disease infection ⋮ Forest-pest interaction dynamics: The simplest mathematical models ⋮ Transition from wave pattern to stationary pattern in a spatial predator-prey system with delay ⋮ Dynamical behaviors in time-delay systems with delayed feedback and digitized coupling ⋮ Influence of time delay and nonlinear diffusion on herbivore outbreak ⋮ On the stabilizing role of stage structure in piscene consumer-resource interactions ⋮ Absolute stability in predator-prey models

Cites Work

• Absolute stability in predator-prey models
• The influence of the type 3(sigmoid) functional response upon the stability of predator-prey difference models
• Instability and complex dynamic behaviour in population models with long time delays
• Age structure in predator-prey systems. I. A general model and a specific example
• Age structure in predator-prey systems. II. Functional response and stability and the paradox of enrichment
• A predator prey model with age structure
• Age-dependent predation is not a simple process. I. Continuous time models
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
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