Homogeneous Interpretable Approximations to Heterogeneous SIR Models
The SIR-compartment model is among the simplest models that describe the spread of a disease through a population. The model makes the unrealistic assumption that the population through which the disease is spreading is well-mixed. Although real populations have heterogeneities in contacts not represented in the SIR model, it nevertheless well fits real US state Covid-19 case data. Here we demonstrate mathematically how closely the simple continuous SIR model approximates a model which includes heterogeneous contacts, and provide insight onto how one can interpret parameters gleaned from regression in the context of heterogeneous dynamics..
| Medienart: |
|
|---|
Preprint| Erscheinungsjahr: |
2020 |
|---|---|
| Erschienen: |
2020 |
| Enthalten in: |
arXiv.org - (2020) vom: 24. Dez. Zur Gesamtaufnahme - year:2020 |
|---|
| Sprache: |
Englisch |
|---|
| Beteiligte Personen: |
Wilkinson, Ryan [VerfasserIn] |
|---|
| Links: |
Volltext [kostenfrei] |
|---|
| Förderinstitution / Projekttitel: |
|
|---|
| PPN (Katalog-ID): |
XAR019631731 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | XAR019631731 | ||
| 003 | DE-627 | ||
| 005 | 20230429062655.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 201229s2020 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)XAR019631731 | ||
| 035 | |a (DE-599)arXiv2012.13424 | ||
| 035 | |a (arXiv)2012.13424 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | |a 570 |q DE-84 | |
| 100 | 1 | |a Wilkinson, Ryan |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Homogeneous Interpretable Approximations to Heterogeneous SIR Models |
| 264 | 1 | |c 2020 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 520 | |a The SIR-compartment model is among the simplest models that describe the spread of a disease through a population. The model makes the unrealistic assumption that the population through which the disease is spreading is well-mixed. Although real populations have heterogeneities in contacts not represented in the SIR model, it nevertheless well fits real US state Covid-19 case data. Here we demonstrate mathematically how closely the simple continuous SIR model approximates a model which includes heterogeneous contacts, and provide insight onto how one can interpret parameters gleaned from regression in the context of heterogeneous dynamics. | ||
| 700 | 1 | |a Roper, Marcus |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t arXiv.org |g (2020) vom: 24. Dez. |
| 773 | 1 | 8 | |g year:2020 |g day:24 |g month:12 |
| 856 | 4 | 0 | |u https://arxiv.org/abs/2012.13424 |z kostenfrei |3 Volltext |
| 912 | |a GBV_XAR | ||
| 912 | |a SSG-OLC-PHA | ||
| 951 | |a AR | ||
| 952 | |j 2020 |b 24 |c 12 | ||
| 953 | |2 045F |a 570 | ||