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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.01466 |
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| _version_ | 1866913726980947968 |
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| author | Azmi, Behzad Schlosser, Nicolas |
| author_facet | Azmi, Behzad Schlosser, Nicolas |
| contents | We analyze a class of general nonlinear epidemic models with age and space structure, including a nonlocal infection term depending on age and space. After establishing the well-posedness of the state partial differential equation, we introduce a control parameter interpreted as a vaccination rate. Under certain conditions, we show that an optimal control exists and how it can be characterized by first-order optimality conditions. Finally, we present numerical examples of the optimal control problems governed by these models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01466 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal Control of General Nonlocal Epidemic Models with Age and Space Structure Azmi, Behzad Schlosser, Nicolas Optimization and Control Analysis of PDEs 35Q92 92D30 49M41 35K57 49N90 We analyze a class of general nonlinear epidemic models with age and space structure, including a nonlocal infection term depending on age and space. After establishing the well-posedness of the state partial differential equation, we introduce a control parameter interpreted as a vaccination rate. Under certain conditions, we show that an optimal control exists and how it can be characterized by first-order optimality conditions. Finally, we present numerical examples of the optimal control problems governed by these models. |
| title | Optimal Control of General Nonlocal Epidemic Models with Age and Space Structure |
| topic | Optimization and Control Analysis of PDEs 35Q92 92D30 49M41 35K57 49N90 |
| url | https://arxiv.org/abs/2503.01466 |