Synchronized bioluminescence behavior of a set of fireflies involving fractional operators of Liouville-Caputo type

被引：14

作者：

Escalante-Martinez, J. E. ^{[1
]}

Gomez-Aguilar, J. F. ^{[2
]}

Calderon-Ramon, C. ^{[1
]}

Aguilar-Melendez, A. ^{[3
]}

Padilla-Longoria, P. ^{[4
]}

机构：

[1] Univ Veracruzana, Fac Ingn Mecan & Elect, Av Venustiano Carranza S-N, Poza Rica 93390, Veracruz, Mexico

[2] CONACyT Tecnol Nacl Mexico CENIDET, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico

[3] Univ Veracruzana, Fac Ingn Civil, Av Venustiano Carranza S-N, Poza Rica 93390, Veracruz, Mexico

[4] Univ Nacl Autonoma Mexico, IIMAS, Circuito Escolar, Cd Univ, Mexico City 04510, DF, Mexico

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2018年 / 11卷 / 03期

关键词：

Fractional calculus; Liouville-Caputo fractional derivative; synchronicity; fireflies; bioluminescence; Adams-Bashforth-Moulton method; CALCULUS;

D O I：

10.1142/S1793524518500419

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

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页数：25

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