Cloud-rain predator-prey interactions: ...
Type de document :
Article dans une revue scientifique: Article original
URL permanente :
Titre :
Cloud-rain predator-prey interactions: analyzing some properties of the koren-feingold model and introduction of a new species-competition bulk system with a hopf bifurcation
Auteur(s) :
Pujol, Olivier [Auteur]
Laboratoire d'Optique Atmosphérique (LOA) - UMR 8518
Jensen, Andrew [Auteur]
Laboratoire d'Optique Atmosphérique (LOA) - UMR 8518
Jensen, Andrew [Auteur]
Titre de la revue :
Physica D: Nonlinear Phenomena
Nom court de la revue :
Physica D
Numéro :
399
Date de publication :
2019-12-01
ISSN :
0167-2789
Mot(s)-clé(s) en anglais :
Cloud-rain interactions
Species competition dynamics
Predator-prey model
Cloud physics
Species competition dynamics
Predator-prey model
Cloud physics
Discipline(s) HAL :
Physique [physics]
Résumé en anglais : [en]
This paper deals with some properties of predator–prey cloud–rain models. Focus is put on scaling and on some mathematical features such as stability and limit cycles. Precisely, the Koren–Feingold delay differential ...
Lire la suite >This paper deals with some properties of predator–prey cloud–rain models. Focus is put on scaling and on some mathematical features such as stability and limit cycles. Precisely, the Koren–Feingold delay differential equation model is first investigated and it is shown that it has no limit cycles. Then, by considering another point of view (i.e. species competition dynamics) for parametrizing cloud–rain processes, a system of ordinary differential equations to model these processes is formulated. Some examples are given to illustrate that this model reproduces in a realistic way the essential macroscopic behavior of a cloud–rain system. The model has a Hopf bifurcation at which certain properties of cloud–rain interactions in the model are represented. This is an important point to prepare for further examination of cloud synchronization in a cloud field by Kuramoto model, for instance.Lire moins >
Lire la suite >This paper deals with some properties of predator–prey cloud–rain models. Focus is put on scaling and on some mathematical features such as stability and limit cycles. Precisely, the Koren–Feingold delay differential equation model is first investigated and it is shown that it has no limit cycles. Then, by considering another point of view (i.e. species competition dynamics) for parametrizing cloud–rain processes, a system of ordinary differential equations to model these processes is formulated. Some examples are given to illustrate that this model reproduces in a realistic way the essential macroscopic behavior of a cloud–rain system. The model has a Hopf bifurcation at which certain properties of cloud–rain interactions in the model are represented. This is an important point to prepare for further examination of cloud synchronization in a cloud field by Kuramoto model, for instance.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Établissement(s) :
CNRS
Université de Lille
Université de Lille
Collections :
Date de dépôt :
2024-01-30T11:45:58Z
2024-02-26T16:11:10Z
2024-02-26T16:11:10Z
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