Synchronized bioluminescence behavior of a set of fireflies involving fractional operators of Liouville–Caputo type
2018; World Scientific; Volume: 11; Issue: 03 Linguagem: Inglês
10.1142/s1793524518500419
ISSN1793-5245
AutoresJ. E. Escalante-Martínez, J.F. Gómez‐Aguilar, C. Calderón-Ramón, Armando Aguilar-Meléndez, Pablo Padilla-Longoria,
Tópico(s)stochastic dynamics and bifurcation
ResumoIn 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.
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