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- Title
Output trajectory controllability of a discrete-time sir epidemic model.
- Authors
BENAHMADI, LAHBIB; LHOUS, MUSTAPHA; TRIDANE, ABDESSAMAD; RACHIK, MOSTAFA
- Abstract
Developing new approaches that help control the spread of infectious diseases is a critical issue for public health. Such approaches must consider the available resources and capacity of the healthcare system. In this paper, we present a new mathematical approach to controlling an epidemic model by investigating the optimal control that aims to bring the output of the epidemic to target a desired disease output yd = (ydi)i∈{0,...,N}. First, we use the state-space technique to transfer the trajectory controllability to optimal control with constraints on the final state. Then, we use the fixed point theorems to determine the set of admissible controls and solve the output trajectory controllability problem. Finally, we apply our method to the model of a measles epidemic, and we give a numerical simulation to illustrate the findings of our approach.
- Subjects
ORBITAL transfer (Space flight); ADMISSIBLE sets; COMMUNICABLE diseases; INFECTIOUS disease transmission; PUBLIC health
- Publication
Mathematical Modelling of Natural Phenomena, 2023, Vol 18, p1
- ISSN
0973-5348
- Publication type
Article
- DOI
10.1051/mmnp/2023015