Mathematical Analysis of Information Dissemination Model for Social Networking Services

V. Ananthaswamy^1, and B. Seethalakshmi²

¹Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India

²M. Phil., Mathematics, The Madura College, Madurai, Tamil Nadu, India

Cite this paper:
V. Ananthaswamy and B. Seethalakshmi. Mathematical Analysis of Information Dissemination Model for Social Networking Services. American Journal of Modeling and Optimization. 2015; 3(1):26-34. doi: 10.12691/ajmo-3-1-4

Abstract

In this paper Homotopy perturbation method (HPM) is implemented to give an approximate analytical solution to the system of non-linear differential equation corresponding to S-SEIR model. The S-SEIR model is constructed for information dissemination characteristics on social network. Our analytical results are compared with the numerical simulation and a satisfactory agreement is noted. The graphical results are shown the effect of information value and user behavior on information dissemination. Using the Homotopy perturbation method we can easily solve other strongly non-linear initial and boundary value problems in engineering and sciences.

Keywords:
information dissemination social networking services (SNS) information value user behavior homotopy perturbation method numerical simulation

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