Oscillatory regimes in a mosquito population model with larval feedback on egg hatching - Archive ouverte HAL Access content directly
Journal Articles Journal of Biological Dynamics Year : 2019

Oscillatory regimes in a mosquito population model with larval feedback on egg hatching

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.
Fichier principal
Vignette du fichier
Oscillations_regimes_1217.pdf (562.92 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-01674280 , version 1 (10-01-2018)

Licence

Identifiers

Cite

Martin Strugarek, Laetitia Dufour, Nicolas Vauchelet, Luís Almeida, Benoît Perthame, et al.. Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Journal of Biological Dynamics, 2019, 13 (1), pp.269-300. ⟨10.1080/17513758.2019.1593524⟩. ⟨hal-01674280⟩
772 View
238 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More