Volterra quadratic stochastic operators of a two-sex population
Volterra quadratic stochastic operators of a two-sex population
复制标题
两性群体的 Volterra 二次随机算子
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
U. U. Zhamilov
中科院分区：
文献类型：
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作者：
U. Rozikov;U. U. Zhamilov
引入了两性总体的沃尔泰拉二次随机算子的概念。将两性总体上的二次沃尔泰拉型随机算子的不动点的描述归结为Volterra型算子的不动点的描述.对两性种群的沃尔泰拉二次型随机算子构造了几个李雅普诺夫函数。利用这些函数，我们得到了ω-极限轨线集的一个上界。证明了两性种群的所有沃尔泰拉二次型随机算子的集合是一个凸紧集，并找到了这个凸紧集的极值点，构造了两性种群的具有2-周期轨道（轨线）的沃尔泰拉二次型随机算子.
We introduce the notion of Volterra quadratic stochastic operators of a two-sex population. The description of the fixed points of Volterra quadratic stochastic operators of a two-sex population is reduced to the description of the fixed points of Volterra-type operators. Several Lyapunov functions are constructed for the Volterra quadratic stochastic operators of a two-sex population. By using these functions, we obtain an upper bound for the ω-limit set of trajectories. It is shown that the set of all Volterra quadratic stochastic operators of a two-sex population is a convex compact set, and the extreme points of this set are found. Volterra quadratic stochastic operators of a two-sex population that have a 2-periodic orbit (trajectory) are constructed.