Abstract

Understanding mosquitoes life cycle is of great interest presently because of the increasing impact of vector borne diseases in several countries. There is evidence of oscillations in mosquito populations independent of seasonality, still unexplained, based on observations both in laboratories and in nature. We propose a simple mathematical model of egg hatching enhancement by larvae which produces such oscillations that conveys a possible explanation. We propose both a theoretical analysis, based on slow–fast dynamics and Hopf bifurcation, and numerical investigations in order to shed some light on the mechanisms at work in this model.

Details

Title
Oscillatory regimes in a mosquito population model with larval feedback on egg hatching
Author
Strugarek, Martin 1   VIAFID ORCID Logo  ; Dufour, Laetitia 2 ; Vauchelet, Nicolas 3 ; Almeida, Luis 2 ; Perthame, Benoît 2 ; Villela, Daniel A M 4 

1  AgroParisTech, Paris Cedex 05, France; Sorbonne Université, CNRS, Université de Paris, Inria, Laboratoire Jacques-Louis Lions UMR7598, Paris, France 
2  Sorbonne Université, CNRS, Université de Paris, Inria, Laboratoire Jacques-Louis Lions UMR7598, Paris, France 
3  LAGA – UMR 7539, Institut Galilée, Université Paris 13, Villetaneuse, France 
4  PROCC, Fundação Oswaldo Cruz, Rio de Janeiro, Brazil 
End page
300
Publication year
2019
Publication date
Dec 2019
Publisher
Taylor & Francis Ltd.
ISSN
17513758
e-ISSN
17513766
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1080/17513758.2019.1593524
ProQuest document ID
2391993216
Copyright
© 2019 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. This work is licensed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.