Optimal Control Strategy for SEIR with Latent Period and a Saturated Incidence Rate

Autor:	Abta Abdelhadi, Laarabi Hassan
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Mathematical optimization Article Subject Nonlinear model Statistics Quantitative Biology::Populations and Evolution Epidemic model Optimal control Quantitative Biology::Other Mathematics
Zdroj:	ISRN Applied Mathematics.
DOI:	10.1155/2013/706848
Popis:	We propose an SEIR epidemic model with latent period and a modified saturated incidence rate. This work investigates the fundamental role of the vaccination strategies to reduce the number of susceptible, exposed, and infected individuals and increase the number of recovered individuals. The existence of the optimal control of the nonlinear model is also proved. The optimality system is derived and then solved numerically using a competitive Gauss-Seidel-like implicit difference method.
Databáze:	OpenAIRE
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