Sexually transmitted infections and mate-finding Allee effects

J 2017

Sexually transmitted infections and mate-finding Allee effects

BEREC, Luděk; Eva JANOUŠKOVÁ a Michal THEUER

Základní údaje

Originální název

Sexually transmitted infections and mate-finding Allee effects

Autoři

BEREC, Luděk; Eva JANOUŠKOVÁ a Michal THEUER

Vydání

Theoretical population biology, SAN DIEGO, ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017, 0040-5809

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10600 1.6 Biological sciences

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Full Text

Impakt faktor

Impact factor: 1.259

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/17:00108446

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

Allee effect; Mating; Sexually transmitted disease; Asymptotic incidence; Bifurcation; Reproduction–transmission consistency

Štítky

14311010, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 3. 1. 2020 11:55, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

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.

Návaznosti

MUNI/A/1234/2015, interní kód MU

Název: Matematické a statistické modelování (Akronym: Matematické a statistické modelování)

Investor: Masarykova univerzita, Matematické a statistické modelování, DO R. 2020_Kategorie A - Specifický výzkum - Studentské výzkumné projekty

NV15-25809A, projekt VaV

Název: Národní program studia mutací a klonality leukemických buněk u pacientů s akutní myeloidní leukémií

Citovat

BEREC, Luděk; Eva JANOUŠKOVÁ a Michal THEUER. Sexually transmitted infections and mate-finding Allee effects. Theoretical population biology. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017, roč. 114, APR, s. 59-69. ISSN 0040-5809. Dostupné z: https://doi.org/10.1016/j.tpb.2016.12.004.

@article{1375251,
   author = {Berec, Luděk and Janoušková, Eva and Theuer, Michal},
   article_location = {SAN DIEGO},
   article_number = {APR},
   doi = {https://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://doi.org/10.1016/j.tpb.2016.12.004.

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