Mathematical modelling and application of frog choruses as an autonomous distributed communication system
Mathematical modelling and application of frog choruses as an autonomous distributed communication system
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DOI：
10.1098/rsos.181117
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发表时间：
2019-01
影响因子：
3.5
通讯作者：
Ikkyu Aihara;D. Kominami;Yasuharu Hirano;M. Murata
中科院分区：
文献类型：
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作者：
Ikkyu Aihara;D. Kominami;Yasuharu Hirano;M. Murata
使用各种感官线索的相互作用在动物群中产生复杂的行为，例如蚂蚁的觅食行为和鸟类和鱼类的群集。在这里，我们从数学建模及其应用的角度研究青蛙合唱的行为机制。雄性日本树蛙的实验数据表明，（1）相邻的雄性树蛙避免在短时间内彼此呼叫重叠，（2）它们在长时间内集体在呼叫状态和沉默状态之间切换。为了重现这些功能，我们提出了一个数学模型，其中单独的动态模型自发地切换由于随机过程取决于各自的青蛙的内部动态和青蛙之间的相互作用。接着，将该数学模型应用于无线传感器网络的控制，在该网络中，多个传感器节点向其邻居发送数据包，以便通过多跳通信将数据包传递到网关节点。数值模拟表明：（1）相邻节点可以通过交替数据传输的定时来避免短时间内的数据包碰撞;（2）所有节点在长时间内集体切换状态，建立高网络连通性，同时降低网络功耗。因此，这项研究突出了独特的动态青蛙合唱团在多个时间尺度上，也提供了一种新的生物启发的技术，适用于无线传感器网络的控制。
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.