Mathematical modelling and application of frog choruses as an autonomous distributed communication system

Interactions using various sensory cues produce sophisticated behaviour in animal swarms, e.g. the foraging behaviour of ants and the flocking of birds and fish. Here, we investigate the behavioural mechanisms of frog choruses from the viewpoints of mathematical modelling and its application. Empiri...

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Main Authors: Ikkyu Aihara, Daichi Kominami, Yasuharu Hirano, Masayuki Murata
Format: Article
Language:English
Published: The Royal Society 2019-01-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.181117
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spelling doaj-2a199da5c1b5448282661e6a7c02b7782020-11-25T04:00:14ZengThe Royal SocietyRoyal Society Open Science2054-57032019-01-016110.1098/rsos.181117181117Mathematical modelling and application of frog choruses as an autonomous distributed communication systemIkkyu AiharaDaichi KominamiYasuharu HiranoMasayuki MurataInteractions using various sensory cues produce sophisticated behaviour in animal swarms, e.g. the foraging behaviour of ants and the flocking of birds and fish. Here, we investigate the behavioural mechanisms of frog choruses from the viewpoints of mathematical modelling and its application. Empirical data on male Japanese tree frogs demonstrate that (1) neighbouring male frogs avoid call overlaps with each other over a short time scale and (2) they collectively switch between the calling state and the silent state over a long time scale. To reproduce these features, we propose a mathematical model in which separate dynamical models spontaneously switch due to a stochastic process depending on the internal dynamics of respective frogs and also the interactions among the frogs. Next, the mathematical model is applied to the control of a wireless sensor network in which multiple sensor nodes send a data packet towards their neighbours so as to deliver the packet to a gateway node by multi-hop communication. Numerical simulation demonstrates that (1) neighbouring nodes can avoid a packet collision over a short time scale by alternating the timing of data transmission and (2) all the nodes collectively switch their states over a long time scale, establishing high network connectivity while reducing network power consumption. Consequently, this study highlights the unique dynamics of frog choruses over multiple time scales and also provides a novel bio-inspired technology that is applicable to the control of a wireless sensor network.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.181117nonlinear dynamicsbiomimeticsacoustic communicationfrog algorithm
collection DOAJ
language English
format Article
sources DOAJ
author Ikkyu Aihara
Daichi Kominami
Yasuharu Hirano
Masayuki Murata
spellingShingle Ikkyu Aihara
Daichi Kominami
Yasuharu Hirano
Masayuki Murata
Mathematical modelling and application of frog choruses as an autonomous distributed communication system
Royal Society Open Science
nonlinear dynamics
biomimetics
acoustic communication
frog algorithm
author_facet Ikkyu Aihara
Daichi Kominami
Yasuharu Hirano
Masayuki Murata
author_sort Ikkyu Aihara
title Mathematical modelling and application of frog choruses as an autonomous distributed communication system
title_short Mathematical modelling and application of frog choruses as an autonomous distributed communication system
title_full Mathematical modelling and application of frog choruses as an autonomous distributed communication system
title_fullStr Mathematical modelling and application of frog choruses as an autonomous distributed communication system
title_full_unstemmed Mathematical modelling and application of frog choruses as an autonomous distributed communication system
title_sort mathematical modelling and application of frog choruses as an autonomous distributed communication system
publisher The Royal Society
series Royal Society Open Science
issn 2054-5703
publishDate 2019-01-01
description Interactions using various sensory cues produce sophisticated behaviour in animal swarms, e.g. the foraging behaviour of ants and the flocking of birds and fish. Here, we investigate the behavioural mechanisms of frog choruses from the viewpoints of mathematical modelling and its application. Empirical data on male Japanese tree frogs demonstrate that (1) neighbouring male frogs avoid call overlaps with each other over a short time scale and (2) they collectively switch between the calling state and the silent state over a long time scale. To reproduce these features, we propose a mathematical model in which separate dynamical models spontaneously switch due to a stochastic process depending on the internal dynamics of respective frogs and also the interactions among the frogs. Next, the mathematical model is applied to the control of a wireless sensor network in which multiple sensor nodes send a data packet towards their neighbours so as to deliver the packet to a gateway node by multi-hop communication. Numerical simulation demonstrates that (1) neighbouring nodes can avoid a packet collision over a short time scale by alternating the timing of data transmission and (2) all the nodes collectively switch their states over a long time scale, establishing high network connectivity while reducing network power consumption. Consequently, this study highlights the unique dynamics of frog choruses over multiple time scales and also provides a novel bio-inspired technology that is applicable to the control of a wireless sensor network.
topic nonlinear dynamics
biomimetics
acoustic communication
frog algorithm
url https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.181117
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