Delays in recruitment at different trophic levels: Effects on stability

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Publication:799613

DOI10.1007/BF00275221zbMath0547.92014WikidataQ52698134 ScholiaQ52698134MaRDI QIDQ799613

Alan Hastings

Publication date: 1984

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




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Delay driven spatiotemporal chaos in single species population dynamics modelsA mathematical model with young predationA stage-structured predator-prey model with disturbing pulse and time delaysLong-term transients and complex dynamics of a stage-structured population with time delay and the Allee effectStability of predation models with time delayNon-selective harvesting in prey--predator models with delayPeriodic solutions for a delayed predator-prey model of prey dispersal in two-patch environ\-mentsPersistence and global stability in a delayed predator-prey system with Holling-type functional responseThe demographic meanings of the classical population growth models of ecologyBIFURCATION AND CONTROL IN A DIFFERENTIAL-ALGEBRAIC HARVESTED PREY-PREDATOR MODEL WITH STAGE STRUCTURE FOR PREDATORThe global stability of a delayed predator-prey system with two stage-structureThe dynamics of a high-dimensional delayed pest management model with impulsive pesticide input and~harvesting prey at different fixed momentsTHE EFFECT OF SEASONAL HARVESTING ON A STAGE-STRUCTURED DISCRETE MODEL WITH BIRTH PULSESDynamical analysis of a spatial memory prey-predator system with gestation delay and strong Allee effectBasins of attraction and paired Hopf bifurcations for delay differential equations with bistable nonlinearity and delay-dependent coefficientComplex dynamics in a prey predator system with multiple delaysRecent progress on stage-structured population dynamics.Existence and global stability of positive periodic solutions of a predator-prey system with delaysPeriodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays.Backward bifurcation of predator-prey model with anti-predator behaviorsPeriodicity in a ratio-dependent predator-prey system with stage-structured predator on time scalesThe dynamics of an age structured predator-prey model with disturbing pulse and time delaysOn the dynamical behavior of toxic-phytoplankton-zooplankton model with delayGlobal stability of Volterra models with time delayEffect of time delay on a harvested predator-prey modelEffect of time delay on a detritus-based ecosystemThe dynamics of a mutual interference age structured predator-prey model with time delay and impulsive perturbations on predatorsEFFECTS OF DELAY AND SEASONALITY ON TOXIN PRODUCING PHYTOPLANKTON–ZOOPLANKTON SYSTEMGlobal stability in a structured population competition model with distributed maturation delay and harvestingTop-down control in a patchy environment: revisiting the stabilizing role of food-dependent predator dispersalQUASIPERIODIC SOLUTIONS AND CHAOS IN A PERIODICALLY FORCED PREDATOR–PREY MODEL WITH AGE STRUCTURE FOR PREDATORPeriodic solution for a three-species Lotka-Volterra food-chain model with time delaysDynamic complexities in a single-species discrete population model with stage structure and birth pulsesThe effect of seasonal harvesting on a single-species discrete population model with stage structure and birth pulsesDynamic complexities for prey-dependent consumption integrated pest management models with impulsive effectsRich dynamics of a food chain model with Hassell-Varley type functional responsesSTABILITY ANALYSIS OF A PREY-PREDATOR MODEL WITH DELAY AND HARVESTINGHopf bifurcation and chaos in a Leslie–Gower prey–predator model with discrete delaysOn the stabilizing role of stage structure in piscene consumer-resource interactions



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