Sun Xiaodan; Huo Xi; Xiao Yanni; Wu Jianhong: Large amplitude and multiple stable periodic oscillations in treatment-donation-stockpile dynamics. (2016)
Előnézet |
Teljes mű
ejqtde_spec_002_2016_082.pdf Letöltés (1MB) | Előnézet |
Absztrakt (kivonat)
A transmission–treatment–donation–stockpile model was originally formulated for the 2014–2015 West Africa Ebola outbreak in order to inform policy complication of large scale use and collection of convalescent blood as an empiric treatment. Here we reduce this model to a three dimensional system with a single delay counting for the duration between two consecutive donations. The blood unit reproduction number R0 is calculated and interpreted biologically. Using the LaSalle’s invariance principle we show that the zero blood bank storage equilibrium is globally asymptotically stable if R0 < 1. When R0 > 1, the system has a non-zero equilibrium with potential occurrence of Hopf bifurcations. The geometric approach previously developed is applied to guide the location of critical bifurcation points. Numerical analysis shows that variations of the single delay parameter can trigger bi-stable large amplitude periodic solutions. We therefore suggest that this time lag must be carefully chosen and maintained to attain stable treatment availability during outbreaks.
| Mű típusa: | Folyóirat |
|---|---|
| Egyéb cím: | Honoring the career of Tibor Krisztin on the occasion of his sixtieth birthday |
| Folyóirat/könyv/kiadvány címe: | Electronic journal of qualitative theory of differential equations : special edition |
| Dátum: | 2016 |
| Kötet: | 2 |
| Szám: | 82 |
| ISSN: | 1417-3875 |
| Oldalszám: | 25 |
| Nyelv: | angol |
| DOI: | 10.14232/ejqtde.2016.1.82 |
| Kulcsszavak: | Differenciálegyenlet |
| Megjegyzések: | Bibliogr.: p. 22-25. ; összefoglalás angol nyelven |
| Feltöltés dátuma: | 2021. nov. 11. 15:04 |
| Utolsó módosítás: | 2021. nov. 12. 09:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73749 |
 |
Tétel nézet |
