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@article{1375251,
author = {Berec, Luděk and Janoušková, Eva and Theuer, Michal},
article_location = {SAN DIEGO},
article_number = {APR},
doi = {http://dx.doi.org/10.1016/j.tpb.2016.12.004},
keywords = {Allee effect; Mating; Sexually transmitted disease; Asymptotic incidence; Bifurcation; Reproduction–transmission consistency},
language = {eng},
issn = {0040-5809},
journal = {Theoretical population biology},
title = {Sexually transmitted infections and mate-finding Allee effects},
url = {http://www.sciencedirect.com/science/article/pii/S0040580916301186},
volume = {114},
year = {2017}
}
TY - JOUR
ID - 1375251
AU - Berec, Luděk - Janoušková, Eva - Theuer, Michal
PY - 2017
TI - Sexually transmitted infections and mate-finding Allee effects
JF - Theoretical population biology
VL - 114
IS - APR
SP - 59-69
EP - 59-69
PB - ACADEMIC PRESS INC ELSEVIER SCIENCE
SN - 00405809
KW - Allee effect
KW - Mating
KW - Sexually transmitted disease
KW - Asymptotic incidence
KW - Bifurcation
KW - Reproduction–transmission consistency
UR - http://www.sciencedirect.com/science/article/pii/S0040580916301186
L2 - http://www.sciencedirect.com/science/article/pii/S0040580916301186
N2 - Infectious diseases can seriously impact dynamics of their host species. In this study, we model and analyze an interaction between a sexually transmitted infection and its animal host population affected by a mate-finding Allee effect. Since mating drives both host reproduction and infection transmission, the Allee effect shapes the transmission rate of the infection which we show takes a saturating form. Our model combining sexually transmitted infections with the mate-finding Allee effect in the host produces quite rich dynamics, including oscillations, several multistability regimes, and infection-induced host extinction. However, many of these complex patterns are restricted to a relatively narrow parameter range. We find that the host extinction occurs at intermediate levels of infection virulence, as well as for Allee effect strengths much lower than when the infection is absent. In both cases, a sequence of events comprising destabilization of an endemic equilibrium, growth of oscillation amplitude, and a heteroclinic bifurcation forms an underlying mechanism. We apply our model to the feline immunodeficiency virus (FIV) in domestic cats.
ER -
BEREC, Luděk, Eva JANOUŠKOVÁ a Michal THEUER. Sexually transmitted infections and mate-finding Allee effects. \textit{Theoretical population biology}. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017, roč.~114, APR, s.~59-69. ISSN~0040-5809. Dostupné z: https://dx.doi.org/10.1016/j.tpb.2016.12.004.
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