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Dynamic of a Delayed Predator-Prey Model with Application to Network' Users' Data Forwarding.

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Název: Dynamic of a Delayed Predator-Prey Model with Application to Network' Users' Data Forwarding.
Autoři: Zhang, Yaming, Koura, Yaya Hamadou, Su, Yanyuan
Zdroj: Scientific Reports; 8/29/2019, Vol. 9 Issue 1, pN.PAG-N.PAG, 1p
Témata: PREDATION, POPULATION density, BANDWIDTHS, COMPUTER simulation, LYAPUNOV exponents
Abstrakt: In most situations where entities interact by sharing limited resources, controlling populations' density is crucial to maintain ecosystem sustainability. This is the case in a predator-prey type interaction when predator survival relies on its ability to harvest and consume resources. In this article, we analyzed a modified predator-prey model based on Rosenzweig-MacArthur characterized by a delayed conversion of prey into resources and applied the proposed model to network users' data forwarding at a bottleneck node. We discuss system fixed points behaviour and prove that delaying the handling time has a significant impact on the dynamic of interaction and system bifurcates, exhibits chaotic behaviour and is highly responsive to small perturbations. [ABSTRACT FROM AUTHOR]
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Databáze: Complementary Index
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Abstrakt:In most situations where entities interact by sharing limited resources, controlling populations' density is crucial to maintain ecosystem sustainability. This is the case in a predator-prey type interaction when predator survival relies on its ability to harvest and consume resources. In this article, we analyzed a modified predator-prey model based on Rosenzweig-MacArthur characterized by a delayed conversion of prey into resources and applied the proposed model to network users' data forwarding at a bottleneck node. We discuss system fixed points behaviour and prove that delaying the handling time has a significant impact on the dynamic of interaction and system bifurcates, exhibits chaotic behaviour and is highly responsive to small perturbations. [ABSTRACT FROM AUTHOR]
ISSN:20452322
DOI:10.1038/s41598-019-48975-8