Timeline for Approximated solutions of SEIR models
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 4, 2020 at 10:38 | comment | added | Hans-Peter Stricker | @DavidKetcheson: Can you give me a short hint how to derive the rough estimate? | |
| Aug 4, 2020 at 10:33 | comment | added | Hans-Peter Stricker | @DavidKetcheson: Your comment on $t_{max}$ came some minutes too late: I just posted a question on this. But in your comment you already give an answer. Maybe you would like to post it as such. | |
| Aug 4, 2020 at 10:00 | comment | added | David Ketcheson | For $t_{max}$, I'm not aware of an exact formula. For initial conditions like those you are using, you can derive a rough estimate of $t_{max}\approx\ln((\sigma-1)/(\sigma I(0)))/(\beta - \gamma)$ where $\sigma=\beta \delta$ (and working in units where $M=1$). | |
| Aug 4, 2020 at 9:57 | comment | added | Hans-Peter Stricker | @DavidKetcheson: You are right, I just saw it. Thanks for the hint. | |
| Aug 4, 2020 at 9:38 | comment | added | David Ketcheson | I think the formula given in this answer is not quite correct (it is nearly correct, only when $R(0)$ and $I(0)$ are very small). The correct version is in the reference in my comment. | |
| Aug 3, 2020 at 11:16 | comment | added | Hans-Peter Stricker | @DavidKetcheson: Is there also a classical result for the time $t_{max}$ when the maximum $I_{max}$ is reached? | |
| Aug 3, 2020 at 10:53 | comment | added | David Ketcheson | This result is classical and widely known (to mathematical epidemiologists). For details and a number of other related results, see e.g. this review paper. | |
| Aug 2, 2020 at 17:06 | history | answered | Hans-Peter Stricker | CC BY-SA 4.0 |