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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 3971803, 9 pages
https://doi.org/10.1155/2017/3971803
Research Article

Competitive Interaction Model for Online Social Networks’ Users’ Data Forwarding at a Subnet

School of Economics and Management, Yanshan University, Qinhuangdao 066004, China

Correspondence should be addressed to Yaya H. Koura; moc.qq@9305939862

Received 21 February 2017; Revised 9 May 2017; Accepted 28 May 2017; Published 22 June 2017

Academic Editor: Leonid Shaikhet

Copyright © 2017 Yaya H. Koura et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Social Networks Ecosystem is evolving faster and Social Networks users’ intensive activities are affecting significantly the network traffic. Generated data from different sending and receiving hosts have to be handled by network active nodes and links. In this paper, we propose to study the interaction between two types of network active hosts by using a Lotka-Volterra competitive system that considers the subnet limiting supply. We applied our proposed model to two kinds of Online Social Networks’ (OSNs’) users characterized by the intensity of their activities from the generated data perspective. We assumed and proved that the impact of competition is flexible and subject to forwarding protocol and subnet allocated resources. By taking the competition case in the analysis of the differential equations, we show that when competition exists, one stable equilibrium point can be found if certain conditions are respected. Numerical results confirm our theoretical analysis and show that instead of treating equally at the subnet level all data from active hosts, adopting a routing protocol that takes into account the nature of data and the forwarding time is necessary for improving the overall performance of the network.