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Related Experiment Videos

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

Yaming Zhang1, Yaya Hamadou Koura2, Yanyuan Su3

  • 1School of Economics and Management, Yanshan University, Qinhuangdao, 066004, China. yaming99@ysu.edu.cn.

Scientific Reports
|August 31, 2019
PubMed
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Delayed resource conversion in predator-prey models significantly impacts system dynamics. This study applies a modified Rosenzweig-MacArthur model to network data forwarding, revealing chaotic behavior and sensitivity to perturbations due to handling time delays.

Area of Science:

  • Ecology
  • Network Science
  • Mathematical Modeling

Background:

  • Ecosystem sustainability relies on managing population density, especially in predator-prey interactions where resource harvesting is key.
  • Predator survival is directly linked to efficient prey conversion into usable resources.

Purpose of the Study:

  • To analyze a modified predator-prey model incorporating delayed resource conversion.
  • To apply this model to understand data forwarding dynamics in network bottleneck nodes.

Main Methods:

  • Utilized a modified Rosenzweig-MacArthur predator-prey model.
  • Incorporated a delay in prey conversion into resources (handling time).
  • Applied the model to analyze network user data forwarding at bottleneck nodes.

Related Experiment Videos

Main Results:

  • The delayed handling time significantly impacts interaction dynamics.
  • The system exhibits bifurcations and chaotic behavior.
  • The system demonstrates high responsiveness to small perturbations.

Conclusions:

  • Delayed resource conversion is a critical factor in predator-prey system stability and dynamics.
  • The findings have implications for understanding and managing resource allocation in both ecological and network systems.