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- Title
Dynamic of a Delayed Predator-Prey Model with Application to Network' Users' Data Forwarding.
- Authors
Zhang, Yaming; Koura, Yaya Hamadou; Su, Yanyuan
- 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.
- Subjects
PREDATION; POPULATION density; BANDWIDTHS; COMPUTER simulation; LYAPUNOV exponents
- Publication
Scientific Reports, 2019, Vol 9, Issue 1, pN.PAG
- ISSN
2045-2322
- Publication type
Article
- DOI
10.1038/s41598-019-48975-8