Global stability results for a generalized Lotka-Volterra system with distributed delays. Applications to predator-prey and epidemic systems

DOI10.1007/BF00277730zbMath0716.92020OpenAlexW1969265585WikidataQ113909002 ScholiaQ113909002MaRDI QIDQ753718

D. Kharzeev

Publication date: 1988

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00277730

zbMATH Keywords

global stabilityboundedness of solutionspredator-prey systemsepidemic modelsdistributed time delaysSufficient conditionscontinuous time delaysexistence criterion for steady statesglobal asymptotic stability of nontrivial equilibrium solutions

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

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Cites Work

• Multiple limit cycles in predator-prey models
• Global stability of partially closed food-chains with resources
• Great delay in a predator-prey model
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
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