Optimal Control Strategy for SEIR with Latent Period and a Saturated Incidence Rate. (4th June 2013)

• Record Type: Journal Article
• Authors: Abdelhadi, Abta; Hassan, Laarabi
• Other Names: Song Q. Academic Editor.; Wang Y. Academic Editor.
• Is Part Of: ISRN applied mathematics. Volume 2013(2013)
• Publication Date: 2013-06-04
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; Electronic journals; 510
• DOI: 10.1155/2013/706848
• Languages: English
• ISSNs: 2090-5564

Abstract

Abstract : 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.