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http://dx.doi.org/10.6109/jkiice.2016.20.8.1487

Optimal Control Scheme for SEIR Model in Viral Communications  

Radwan, Amr (Department of Information and Communications Engineering at Inje University)
Publication Information
Journal of the Korea Institute of Information and Communication Engineering / v.20, no.8, 2016 , pp. 1487-1493 More about this Journal
Abstract
The susceptible, exposed, infectious, and recovered model (SEIR) is used extensively in the field of epidemiology. On the other hand, dissemination information among users through internet grows exponentially. This information spreading can be modeled as an epidemic. In this paper, we derive the mathematical model of SEIR in viral communication from the view of optimal control theory. Overall the methods based on classical calculus, In order to solve the optimal control problem, proved to be more efficient and accurate. According to Pontryagin's minimum principle (PMP) the Hamiltonian function must be optimized by the control variables at all points along the solution trajectory. We present our method based on the PMP and forward backward algorithm. In this algorithm, one should integrate forward in time for the state equations then integrate backward in time for the adjoint equations resulting from the optimality conditions. The problem is mathematically analyzed and numerically solved as well.
Keywords
Optimal Control Problem; SEIR Model; Viral Communication; Pontryagin's Minimum Principle; Forward-Backward Algorithm;
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Times Cited By KSCI : 1  (Citation Analysis)
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