Serra H, Godoy W A C, Von Zuben F J, Von Zuben C j, Reis S F
Departamento de Parasitologia, Instituto de Biociencias, Universidade Estadual Paulista, 18618-000, Botucatu, SP, Brazil.
Braz J Biol. 2007 May;67(2):347-53. doi: 10.1590/s1519-69842007000200022.
Sex ratio is an essential component of life history to be considered in population growth. Chrysomya albiceps is a blowfly species with a naturally biased sex ratio. In this study, we evaluated the impact of changes in sex ratio on the dynamic behavior of C. albiceps using a density-dependent mathematical model that incorporated demographic parameters such as survival and fecundity. These parameters were obtained by exponential regression, with survival and fecundity being estimated experimentally as a function of larval density. Bifurcation diagram of the results indicated the evolution of stable equilibrium points as a function of sex ratio. A continually increasing sex ratio yielded a hierarchy of bifurcating stable equilibrium points that evolved into a chaotic regime. The demographic parameters obtained by exponential regression were also changed to maximum and minimum values in order to analyze their influence on dynamic behavior with sex ratio being considered as an independent variable. Bifurcations with periodicity windows between chaos regimes were also found.
性别比例是种群增长中需要考虑的生活史的重要组成部分。白头丽蝇是一种性别比例自然偏倚的丽蝇物种。在本研究中,我们使用一个包含生存和繁殖力等人口统计学参数的密度依赖数学模型,评估了性别比例变化对白头丽蝇动态行为的影响。这些参数通过指数回归获得,生存和繁殖力通过实验估计为幼虫密度的函数。结果的分岔图表明了稳定平衡点随性别比例的演变。持续增加的性别比例产生了一系列分岔的稳定平衡点,这些平衡点演变成混沌状态。通过指数回归获得的人口统计学参数也被更改为最大值和最小值,以便在将性别比例视为自变量的情况下分析它们对动态行为的影响。还发现了混沌状态之间具有周期性窗口的分岔。