Optimal control strategies in an alcoholism model (Q1725370)
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scientific article; zbMATH DE number 7023391
| Language | Label | Description | Also known as |
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| English | Optimal control strategies in an alcoholism model |
scientific article; zbMATH DE number 7023391 |
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Optimal control strategies in an alcoholism model (English)
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14 February 2019
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Summary: This paper presents a deterministic SATQ-type mathematical model (including susceptible, alcoholism, treating, and quitting compartments) for the spread of alcoholism with two control strategies to gain insights into this increasingly concerned about health and social phenomenon. Some properties of the solutions to the model including positivity, existence and stability are analyzed. The optimal control strategies are derived by proposing an objective functional and using Pontryagin's Maximum Principle. Numerical simulations are also conducted in the analytic results.
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