Disease-induced resource constraints can trigger explosive epidemics

Verfasser / Beitragende:
[Lucas Böttcher, Olivia Woolley-Meza, Nuno A.M. Araújo, Hans J. Herrmann, Dirk Helbing]
Ort, Verlag, Jahr:
2015
Enthalten in:
Scientific Reports, 5, p. 16571
Format:
Artikel (online)
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024 7 0 |a 10.3929/ethz-b-000106913  |2 doi 
024 7 0 |a 10.1038/srep16571  |2 doi 
035 |a (ETHRESEARCH)oai:www.research-collecti.ethz.ch:20.500.11850/106913 
245 0 0 |a Disease-induced resource constraints can trigger explosive epidemics  |h [Elektronische Daten]  |c [Lucas Böttcher, Olivia Woolley-Meza, Nuno A.M. Araújo, Hans J. Herrmann, Dirk Helbing] 
246 0 |a Sci Rep 
506 |a Open access  |2 ethresearch 
520 3 |a Advances in mathematical epidemiology have led to a better understanding of the risks posed by epidemic spreading and informed strategies to contain disease spread. However, a challenge that has been overlooked is that, as a disease becomes more prevalent, it can limit the availability of the capital needed to effectively treat those who have fallen ill. Here we use a simple mathematical model to gain insight into the dynamics of an epidemic when the recovery of sick individuals depends on the availability of healing resources that are generated by the healthy population. We find that epidemics spiral out of control into "explosive” spread if the cost of recovery is above a critical cost. This can occur even when the disease would die out without the resource constraint. The onset of explosive epidemics is very sudden, exhibiting a discontinuous transition under very general assumptions. We find analytical expressions for the critical cost and the size of the explosive jump in infection levels in terms of the parameters that characterize the spreading process. Our model and results apply beyond epidemics to contagion dynamics that self-induce constraints on recovery, thereby amplifying the spreading process. 
540 |a Creative Commons Attribution 4.0 International  |u http://creativecommons.org/licenses/by/4.0  |2 ethresearch 
690 7 |a Applied mathematics  |2 ethresearch 
690 7 |a Complex networks  |2 ethresearch 
690 7 |a Computational models  |2 ethresearch 
690 7 |a Epidemiology  |2 ethresearch 
700 1 |a Böttcher  |D Lucas  |e joint author 
700 1 |a Woolley-Meza  |D Olivia  |e joint author 
700 1 |a Araújo  |D Nuno A.M.  |e joint author 
700 1 |a Herrmann  |D Hans J.  |e joint author 
700 1 |a Helbing  |D Dirk  |e joint author 
773 0 |t Scientific Reports  |d London : Nature Publishing Group  |g 5, p. 16571  |x 2045-2322 
856 4 0 |u http://hdl.handle.net/20.500.11850/106913  |q text/html  |z WWW-Backlink auf das Repository (Open access) 
908 |D 1  |a Journal Article  |2 ethresearch 
950 |B ETHRESEARCH  |P 856  |E 40  |u http://hdl.handle.net/20.500.11850/106913  |q text/html  |z WWW-Backlink auf das Repository (Open access) 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Böttcher  |D Lucas  |e joint author 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Woolley-Meza  |D Olivia  |e joint author 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Araújo  |D Nuno A.M.  |e joint author 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Herrmann  |D Hans J.  |e joint author 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Helbing  |D Dirk  |e joint author 
950 |B ETHRESEARCH  |P 773  |E 0-  |t Scientific Reports  |d London : Nature Publishing Group  |g 5, p. 16571  |x 2045-2322 
898 |a BK010053  |b XK010053  |c XK010000 
949 |B ETHRESEARCH  |F ETHRESEARCH  |b ETHRESEARCH  |j Journal Article  |c Open access