The Allee Effect and Infectious Diseases: Extinction, Multistability, and the (Dis-)Appearance of Oscillations
| dc.contributor.author | HILKER, F.M. | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS] | |
| dc.contributor.author | LANGLAIS, Michel | |
| dc.contributor.author | MALCHOW, H. | |
| dc.date.accessioned | 2024-04-04T02:40:53Z | |
| dc.date.available | 2024-04-04T02:40:53Z | |
| dc.date.issued | 2009-01-05 | |
| dc.identifier.issn | 0003-0147 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191100 | |
| dc.description.abstractEn | Infectious diseases that affect their host on a long time- scale can regulate the host population dynamics. Here we show that a strong Allee effect can lead to complex dynamics in simple epidemic models. Generally, the Allee effect renders a population bistable, but we also identify conditions for tri- or monostability. Moreover, the disease can destabilize endemic equilibria and induce sustained os- cillations. These disappear again for high transmissibilities, with eventually vanishing host population. Disease-induced extinction is thus possible for density-dependent transmission and without any alternative reservoirs. The overall complexity suggests that the system is very sensitive to perturbations and control methods, even in pa- rameter regions with a basic reproductive ratio far beyond . Ro= 1. This may have profound implications for biological conservation as well as pest management. We identify important threshold quantities and attribute the dynamical behavior to the joint interplay of a strong Allee effect and infection. | |
| dc.language.iso | en | |
| dc.publisher | University of Chicago Press | |
| dc.subject.en | epidemiology | |
| dc.subject.en | Allee effect | |
| dc.subject.en | SI model | |
| dc.subject.en | periodic oscillation | |
| dc.subject.en | multistability | |
| dc.subject.en | disease-induced extinction | |
| dc.title.en | The Allee Effect and Infectious Diseases: Extinction, Multistability, and the (Dis-)Appearance of Oscillations | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1086/593357 | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| dc.subject.hal | Sciences du Vivant [q-bio]/Santé publique et épidémiologie | |
| bordeaux.journal | The American Naturalist | |
| bordeaux.page | 72-88 | |
| bordeaux.volume | 173 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00372940 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00372940v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=The%20American%20Naturalist&rft.date=2009-01-05&rft.volume=173&rft.issue=1&rft.spage=72-88&rft.epage=72-88&rft.eissn=0003-0147&rft.issn=0003-0147&rft.au=HILKER,%20F.M.&LANGLAIS,%20Michel&MALCHOW,%20H.&rft.genre=article |
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