Simulation of chaotic behaviour in population dynamics

A. T. Bernardes; J.-G Moreira; A. Castro-e-Silva

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Simulation of chaotic behaviour in population dynamics

机译：种群动力学中混沌行为的仿真

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In the time evolution of populations, many attractors can be found: fixed points, limit cycles and chaotic regimes. Usually, chaotic behaviour is observed in species which have well defined breeding seasons and a high fertility rate. Different mathematical models have been used in order to simulate those regimes. In this paper, we use the bitstring model introduced to simulate the evolution of age-structured populations - the Penna Model - to simulate a sort of cyclic and chaotic behaviours. In comparison with the standard logistic map, our results show a time changing λ parameter.

机译：在人口的时间演变中，可以发现许多吸引子：固定点，极限环和混乱状态。通常，在具有明确定义的繁殖季节和高生育率的物种中观察到混沌行为。为了模拟那些状态，已经使用了不同的数学模型。在本文中，我们使用引入的位串模型来模拟年龄结构化种群的演变-Penna模型-来模拟一种周期性和混乱的行为。与标准逻辑图相比，我们的结果显示了随时间变化的λ参数。

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《Zeitschrift fur Physik, B. Condensed Matter》 |1998年第3期|共4页
作者
A. T. Bernardes; J.-G Moreira; A. Castro-e-Silva;
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正文语种 eng
中图分类物理学;
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87.10.+e general; theoretical; and mathematical biophysics (including logic of biosystems; quantum biology; and relevant aspects of thermodynamics; information theory; cybernetics; and bionics); 05.45.+b theory and models of chaotic systems; 02.70. Lq Monte Carlo and statistical methods;

机译：87.10。+ e一般;理论和数学生物物理学（包括生物系统的逻辑;量子生物学;以及热力学的相关方面;信息论;计算机论和仿生学）;05.45。+ b混沌系统的理论和模型;02.70。 Lq Monte Carlo和统计方法;

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1. Simulation of chaotic behaviour in population dynamics [J] . A. T. Bernardes, J.-G Moreira, A. Castro-e-Silva Zeitschrift fur Physik, B. Condensed Matter . 1998,第3期

机译：种群动力学中混沌行为的仿真
2. Evolutionary Behaviour, Trade-Offs and Cyclic and Chaotic Population Dynamics [J] . Andy Hoyle, Roger G. Bowers, Andy White Bulletin of Mathematical Biology . 2011,第5期

机译：进化行为，权衡与循环和混沌种群动态
3. Specific SBR population behaviour as revealed by comparative dynamic simulation analysis of three full-scale municipal SBR wastewater treatment plants [J] . Ronner-Holm SGE, Mennerich A, Holm NC Water Science and Technology . 2006,第1期

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4. A Nonlinear Dynamical Systems Modelling Approach Unveils Chaotic Dynamics in Simulations of Large Strain Behaviour of a Granular Material Under Biaxial Compression [C] . Michael Small, David Walker, Antoinette Tordesillas International Conference on Micromechanics of Granular Media . 2013

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5. Modeling and simulations of protoplanetary dynamics and chaotic interactions of planetesimals. [D] . Lindsay, Bruce Douglas. 2003

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6. Applying Machine Learning to Improve Simulations of a Chaotic Dynamical System Using Empirical Error Correction [O] . Peter A. G. Watson -1

机译：应用机器学习通过经验误差校正改进混沌动力学系统的仿真
7. Analysis of chaotic behaviour in the population dynamics [O] . Alcides Castro-e-Silva, Américo T. Bernardes 2001

机译：人口动态中混沌行为分析

Simulation of chaotic behaviour in population dynamics

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