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Synchronized bioluminescence behavior of a set of fireflies involving fractional operators of Liouville–Caputo type
- Source :
- International Journal of Biomathematics. 11:1850041
- Publication Year :
- 2018
- Publisher :
- World Scientific Pub Co Pte Lt, 2018.
-
Abstract
- In this paper, a system of fractional differential equations that model the synchronized bioluminescence behavior of a set of fireflies put on two spatial arrangements is presented; the alternative representation of these equations contains fractional operators of Liouville–Caputo type. The objective of the model is to qualitatively recover synchronization and show that it is persistent. It is shown that the effort made by each firefly glow changes with respect to the number of male competitors and the distance between them. The conditions on biological parameters are interpreted.
- Subjects :
- Applied Mathematics
0102 computer and information sciences
Type (model theory)
01 natural sciences
010305 fluids & plasmas
Fractional calculus
Set (abstract data type)
010201 computation theory & mathematics
Modeling and Simulation
0103 physical sciences
Bioluminescence
Applied mathematics
Fractional differential
Mathematics
Subjects
Details
- ISSN :
- 17937159 and 17935245
- Volume :
- 11
- Database :
- OpenAIRE
- Journal :
- International Journal of Biomathematics
- Accession number :
- edsair.doi...........c8e6407dd90463bfbfda34115e27cf11