On McKean-Vlasov SDEs with polynomial drifts for SIS epidemic models
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910153368928256 |
|---|---|
| author | Kalinin, Alexander Meyer-Brandis, Thilo Steibel, Annika |
| author_facet | Kalinin, Alexander Meyer-Brandis, Thilo Steibel, Annika |
| contents | We present a tractable class of one-dimensional McKean-Vlasov equations that allow for unique strong solutions and extend the dynamics of various SIS epidemic models that are well-established in the literature. While the distribution-dependent drift coefficients are of polynomial type, the diffusion coefficients may involve sums of power functions. Our analysis includes various scenarios of extinction and persistence of the disease and an effective Euler-Maruyama scheme, for which we derive an explicit strong error estimate in $p$th moment for $p\geq 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19308 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On McKean-Vlasov SDEs with polynomial drifts for SIS epidemic models Kalinin, Alexander Meyer-Brandis, Thilo Steibel, Annika Probability 60H20, 92D30, 60F15, 65C30 We present a tractable class of one-dimensional McKean-Vlasov equations that allow for unique strong solutions and extend the dynamics of various SIS epidemic models that are well-established in the literature. While the distribution-dependent drift coefficients are of polynomial type, the diffusion coefficients may involve sums of power functions. Our analysis includes various scenarios of extinction and persistence of the disease and an effective Euler-Maruyama scheme, for which we derive an explicit strong error estimate in $p$th moment for $p\geq 2$. |
| title | On McKean-Vlasov SDEs with polynomial drifts for SIS epidemic models |
| topic | Probability 60H20, 92D30, 60F15, 65C30 |
| url | https://arxiv.org/abs/2604.19308 |