期刊名称：International Journal of Computer Science Issues
印刷版ISSN：1694-0784
电子版ISSN：1694-0814
出版年度：2013
卷号：10
期号：2
出版社：IJCSI Press
摘要：Optimal control theory is applied to an SEIR model that includes a constant inflow of infective immigrants. Seeking to reduce the latent and infectious groups, we use two controls representing the effort that reduces the contact between the infectious and susceptible individuals, and a therapeutic treatment. The objective function is based on a combination of minimizing the number latent and infected individuals and the cost. The optimal controls are obtained by solving the optimality system. The results were analyzed and interpreted numerically using MATLAB.
关键词：Optimal control; SEIR model; Immigration; Pontryagin\'s maximum principle.
