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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >A stage structure model for the growth of a population involving switching and cooperation
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A stage structure model for the growth of a population involving switching and cooperation

机译:涉及转移与合作的人口增长的阶段结构模型

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We propose a theoretical model for a predator-prey interaction where the prey is a stage-structured population with carrying maturity times for the immature stage. The interaction terms between immature and adults are interpreted as cooperation. The predator consumes both the young and the adult of the prey and this prey population is more prone to predation at higher densities. The existence and stability of the equilibrium set are discussed. Using maturity time as a bifurcation parameter it is shown that Hopf bifurcation could occur. [References: 29]
机译:我们提出了一个捕食者与被捕食者相互作用的理论模型,其中被捕食者是一个具有不成熟阶段携带成熟时间的阶段结构种群。未成年人与成年人之间的互动术语被解释为合作。捕食者会同时捕食猎物的成年幼犬和成年猎物,而这种捕食者种群更倾向于在更高密度下捕食。讨论了平衡集的存在性和稳定性。使用成熟时间作为分叉参数,表明可能发生Hopf分叉。 [参考:29]

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