Rubono, Setiawan (2014) OPTIMAL CONTROL ANALYZE AND EQUILIBRIUM EXISTENCE OF SEIR EPIDEMIC MODEL WITH BILINEAR INCIDENCE AND TIME DELAY IN STATE AND CONTROL VARIABLES. Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2014. (Submitted)
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Abstract
In this paper, we will formulate S E I R epidemic model with bilinear incidence and time delay as basic model. Then, we will investigate the optimal control strategy of our model with time delay in state and control variables. We use a vaccination program as optimal control strategy to minimize the number of susceptible and to maximize the recovered individuals. By mathematical analysis we find the existence of solution and optimal control of our model. We use Pontryagin’s maximum principle to characterize this optimal control.
| Item Type: | Article |
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| Uncontrolled Keywords: | SEIR, Time Delay, Optimal Control, Vaccination |
| Subjects: | Prosiding > ICRIEMS 2014 > MATHEMATICS & MATHEMATICS EDUCATION |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Pendidikan Matematika > Matematika |
| Depositing User: | Eprints |
| Date Deposited: | 07 Nov 2014 04:28 |
| Last Modified: | 07 Nov 2014 04:28 |
| URI: | http://eprints.uny.ac.id/id/eprint/11500 |
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