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Fractal characteristics of Heterocapsa Circularisquama and Prorocentrum Dentatum cells growth

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摘要 This paper investigates behaviors that a set of initial cell densities of Heterocapsa Circularisquama(HC)and Proroce nt rum Dentatum(PD)and a set of environmental factors disturbing the growth of HC and PD cells formed in their growth process,which are actually fractal phenomena.First,the calculation of the fractal dimension of the set of initial cell densities of HC and PD is given in the paper.Second,by controlling the set of initial cell density,HC and PD cells grow according to a given growth target.The approximate or same behaviors of two different sets of initial cell densities of HC and PD are realized by introducing the coupling terms.Finally,the set of environmental factors distu rbing the growth of HC and PD cells is construe ted by introducing real parameters.Then the result that makes HC and PD cells growing according to a given growth target is reached by a proper mathematical transform to the real parameters.The approximate or same behaviors of the set of environmental factors disturbing the growth of HC and PD cells are realized by introducing the coupling terms.
出处 《International Journal of Biomathematics》 SCIE 2019年第8期143-164,共22页 生物数学学报(英文版)
基金 the National Natural Science Foundation of China(Nos.U1806203 and 61533011).
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  • 1陆忠华,陈兰荪.周期系数三种群Lotka-Volterra混合模型分析[J].纯粹数学与应用数学,1995,11(2):81-85. 被引量:13
  • 2王兴元,黄丽.广义Mandelbrot-Julia集的内部结构[J].工程图学学报,2005,26(5):98-104. 被引量:3
  • 3杨杰,张国忠,高红亮.Julia集的反函数迭代算法[J].计算机仿真,2006,23(5):68-70. 被引量:2
  • 4Kaneko K. Transition from torus to chaos accompanied by frequency lockings with symmetry breaking. Progress of Theoretical Physics, 1983, 69(5): 1427~1442.
  • 5Sakaguchi H, Tomita K. Bifurcations of the coupled Logistic map. Progress of Theoretical Physics, 1987, 78(2):305~315.
  • 6Chowdhury RA, Chowdhury K. Bifurcations in a coupled Logistic map. International Journal of Theoretical Physics, 1991, 30:97~106.
  • 7Welstead ST, Cromer TL. Coloring periodicities of two-dimensional mappings. Computers & Graphics, 1989,14(1): 125~126.
  • 8Satoh K, Aihara T. Self-similar structures in the phase diagram of a coupled-Logistic map. Journal of the Physical Society of Japan, 1990, 59 : 1123~1126.
  • 9Satoh K, Aihara T. Numerical study on a coupled-Logistic map as a simple model for a predator-prey system. Journal of the Physical Society of Japan, 1990, 59:1184~1198.
  • 10Hastings A. Complex interactions between dispersal and dynamics: Lessons from coupled Logistic equations. Ecology, 1993, 74(5): 1362~1372.

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