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

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Abstract

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.

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Zhang, Y., Koura, Y. H., & Su, Y. (2019). Dynamic of a Delayed Predator-Prey Model with Application to Network’ Users’ Data Forwarding. Scientific Reports, 9(1). https://doi.org/10.1038/s41598-019-48975-8

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