Solving Delayed SIRS Meanfield Model on Homogeneous Networks

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Saeedghalati, Mohammad Karim | 2010

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 40968 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Ejtehadi, Mohammad Reza
Abstract:
In this work we simulate SIRS1 model on homogeneous networks by means of simulation, then we drove meanfield equations for this model and compared the solution of these equations to the simulations results on the network. To obtain a new model closer to the reality, we modified the SIRS model and introduce history to the convenient model. After simulation of this model we redrove the equations with history and found that this model can show bifurcation so we found the phase diagram for this model. And in the last part we introduced history to a meanfield model with pair approximation and drove the equations and try to solve
them numerically.
Keywords:
Delay Equations ; Epidemic Spreading ; Pair Approximation ; Suceptible-Infected-Recoverd-Suceptible (SIRS)Model