基于多频简谐合成理论的鱼类群集行为仿真分析
|
摘要
多数鱼类都具有群集性,且个体在群集过程中表现出几乎不重复的复杂运动模式。本文基于多频简谐合成运动的遍历性和不相交特征,尝试构建鱼群运动的数学理论模型,并利用计算机数值仿真技术,调用相应的参数取值,直观展现了鱼群在集群、觅食和巡游方面的生物行为特征,为分析鱼类群集行为提供了一种理论机理解释。
Most fish have schooling behavior, and individuals exhibit a complex motion pattern that is almost nonrepetitive during the schooling process. Based on the ergodic and non-intersecting characteristics of multi-frequency harmonic synthesis motion, this paper attempts to construct a mathematical theoretical model of fish movement.Using computer numerical simulation technology to set the corresponding parameter values, which intuitively shows the biological behavior characteristics of fish including schooling, foraging and cruising and provides a theoretical mechanism explanation for the analysis of fish schooling behavior.
Most fish have schooling behavior, and individuals exhibit a complex motion pattern that is almost nonrepetitive during the schooling process. Based on the ergodic and non-intersecting characteristics of multi-frequency harmonic synthesis motion, this paper attempts to construct a mathematical theoretical model of fish movement.Using computer numerical simulation technology to set the corresponding parameter values, which intuitively shows the biological behavior characteristics of fish including schooling, foraging and cruising and provides a theoretical mechanism explanation for the analysis of fish schooling behavior.
引文
[1]Breder C M.Studies on social groupings in fish[J]Bulletin of t he Amer ica n Museum of Natura History,1959(117):397-481.
[2]Reynolds C W.Flocks,herds and schools:adistributed behavioral model[J].Computer Graphics,1987,21(4):25-34.
[3]Inada Y,Kawachi K.Order and flexibility in the motion of fish schools[J].Journal of Theoretica Biology,2002(214):371-387.
[4]Tamon O,Shohei K,Atsuko M,et al.A simulation study on the form of fish schooling for escape from predator[J]Forma,2003(18):119-131.
[5]Tsutomu T,Yutaka M,Jyun I,et al.Mathematical mode of fish schooling behaviour in a set-net[J].ICES Journa of Marine Science,2004(61):1214-1223.
[6]Rune V,Georg S.Emerging school structures and collective dynamics in spawning herring:A simulation study[J].Ecological Modelling,2008(214):125-140.
[7]周应祺.应用鱼类行为学[M].北京:科学出版社,2011.
[8]周应祺,王军,钱卫国,等.鱼类集群行为的研究进展[J].上海海洋大学学报,2013,22(5):734-743.
[9]柳玲飞,周应祺,钱卫国,等.红鼻鱼群体结构的数学建模与仿真可视化[J].水产学报,2010,34(12):1869-1876.
[10]李京颍.同频简谐振动的合成轨道[J].阜阳师范学院学报:自然科学版,2008(2):21-23,54.
[11]康文秀.同频率互相垂直简谐振动的合成[J].物理与工程,2005(6):26,31.
[12]杨中华.利萨如图形研究[J].长沙电力学院学报:自然科学版,1998(2):79-82.
[13]蓝海江.多个简谐振动的合成[J].广西科学院学报,2009,25(1):22-25.
[14]张学科,陆朝华,潘晓明.基于MATLAB研究多个不同频率简谐振动的合成[J].柳州师专学报,2009,24(2):128-131.
[15]Hirosato N.Self organizing dynamic model of fish schooling[J].Journal of Theoretical Biology,1994(171):123-136.
[16]Iain D C,Krause J,Simon A L,et al.Effective leadership and decision-making in animal groups on the move[J].Nature,2005,433(7025):513-516.
[17]Jacques G,Christian J,Guy T.Key behavioral factors in a self-organized fish school model[J].Annales Zoologic Fennici,2008(45):415-428.
[18]Aoki I.A simulation study on the schooling mechanism in fish[J].Bulletin of the Japanese Society of Scientific Fisheries,1982,48(8):1081-1088.
[19]Huth A,Wissel C.The simulation of fish schools in comparison with experimental data[J].Ecologica Modelling,1994(75):135-145.
[20]蓝海江,潘晓明,丁红,等.MATLAB在基础物理教学中的应用[J].柳州师专学报,2009,24(2):119-127.
[21]柳玲飞.鱼类群体结构研究现状[A].中国水产学会.2009年中国水产学会学术年会论文摘要集[C].中国水产学会:中国水产学会,2009:1.
[22]王军,李玉伟,周应祺,等.实验室条件下鱼类视角与个体邻近距离关系的探究[J].水产学报,2015,39(12):1817-1825.
[23]张仲秋,周应祺,钱卫国,等.3种鱼群个体间距的计算方法比较[J].上海海洋大学学报,2012,21(5):750-755.
[24]柳玲飞.鱼群结构的数学建模[D].上海海洋大学,2015.
[2]Reynolds C W.Flocks,herds and schools:adistributed behavioral model[J].Computer Graphics,1987,21(4):25-34.
[3]Inada Y,Kawachi K.Order and flexibility in the motion of fish schools[J].Journal of Theoretica Biology,2002(214):371-387.
[4]Tamon O,Shohei K,Atsuko M,et al.A simulation study on the form of fish schooling for escape from predator[J]Forma,2003(18):119-131.
[5]Tsutomu T,Yutaka M,Jyun I,et al.Mathematical mode of fish schooling behaviour in a set-net[J].ICES Journa of Marine Science,2004(61):1214-1223.
[6]Rune V,Georg S.Emerging school structures and collective dynamics in spawning herring:A simulation study[J].Ecological Modelling,2008(214):125-140.
[7]周应祺.应用鱼类行为学[M].北京:科学出版社,2011.
[8]周应祺,王军,钱卫国,等.鱼类集群行为的研究进展[J].上海海洋大学学报,2013,22(5):734-743.
[9]柳玲飞,周应祺,钱卫国,等.红鼻鱼群体结构的数学建模与仿真可视化[J].水产学报,2010,34(12):1869-1876.
[10]李京颍.同频简谐振动的合成轨道[J].阜阳师范学院学报:自然科学版,2008(2):21-23,54.
[11]康文秀.同频率互相垂直简谐振动的合成[J].物理与工程,2005(6):26,31.
[12]杨中华.利萨如图形研究[J].长沙电力学院学报:自然科学版,1998(2):79-82.
[13]蓝海江.多个简谐振动的合成[J].广西科学院学报,2009,25(1):22-25.
[14]张学科,陆朝华,潘晓明.基于MATLAB研究多个不同频率简谐振动的合成[J].柳州师专学报,2009,24(2):128-131.
[15]Hirosato N.Self organizing dynamic model of fish schooling[J].Journal of Theoretical Biology,1994(171):123-136.
[16]Iain D C,Krause J,Simon A L,et al.Effective leadership and decision-making in animal groups on the move[J].Nature,2005,433(7025):513-516.
[17]Jacques G,Christian J,Guy T.Key behavioral factors in a self-organized fish school model[J].Annales Zoologic Fennici,2008(45):415-428.
[18]Aoki I.A simulation study on the schooling mechanism in fish[J].Bulletin of the Japanese Society of Scientific Fisheries,1982,48(8):1081-1088.
[19]Huth A,Wissel C.The simulation of fish schools in comparison with experimental data[J].Ecologica Modelling,1994(75):135-145.
[20]蓝海江,潘晓明,丁红,等.MATLAB在基础物理教学中的应用[J].柳州师专学报,2009,24(2):119-127.
[21]柳玲飞.鱼类群体结构研究现状[A].中国水产学会.2009年中国水产学会学术年会论文摘要集[C].中国水产学会:中国水产学会,2009:1.
[22]王军,李玉伟,周应祺,等.实验室条件下鱼类视角与个体邻近距离关系的探究[J].水产学报,2015,39(12):1817-1825.
[23]张仲秋,周应祺,钱卫国,等.3种鱼群个体间距的计算方法比较[J].上海海洋大学学报,2012,21(5):750-755.
[24]柳玲飞.鱼群结构的数学建模[D].上海海洋大学,2015.