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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.26436 |
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| _version_ | 1866914516345815040 |
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| author | Benarbia, Narimene Labbas, Rabah Mahdjoub, Tewfik Thorel, Alexandre |
| author_facet | Benarbia, Narimene Labbas, Rabah Mahdjoub, Tewfik Thorel, Alexandre |
| contents | In this work, we develop a new biological transmission model for Chagas disease. This model, set in two juxtaposed habitats with skew Brownian motion conditions at the interface, is composed of two reaction--diffusion equations and takes into account the sylvatic transmission. We write it as an abstract perturbed Cauchy problem using operator theory. Then, we show that the main operator, which models the dispersal process, generates an analytic semigroup in an adequate Banach space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26436 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analytic semigroup generated by the dispersal process of a sylvatic transmission model of Chagas disease Benarbia, Narimene Labbas, Rabah Mahdjoub, Tewfik Thorel, Alexandre Analysis of PDEs Functional Analysis Spectral Theory In this work, we develop a new biological transmission model for Chagas disease. This model, set in two juxtaposed habitats with skew Brownian motion conditions at the interface, is composed of two reaction--diffusion equations and takes into account the sylvatic transmission. We write it as an abstract perturbed Cauchy problem using operator theory. Then, we show that the main operator, which models the dispersal process, generates an analytic semigroup in an adequate Banach space. |
| title | Analytic semigroup generated by the dispersal process of a sylvatic transmission model of Chagas disease |
| topic | Analysis of PDEs Functional Analysis Spectral Theory |
| url | https://arxiv.org/abs/2604.26436 |