论文标题

舞台结构的野生和无菌蚊子种群的离散时间动态系统

A discrete-time dynamical system of stage-structured wild and sterile mosquito population

论文作者

Boxonov, Z. S., Rozikov, U. A.

论文摘要

我们研究与阶段结构的野生和无菌蚊子相关的离散时间动力系统。我们描述了蚊子种群的进化算子的所有固定点(取决于五个参数),并表明取决于该操作员的参数可能具有独特的两个且无限的固定点。在参数的某些一般条件下,我们确定每个固定点的类型,并给出动态系统的限制点。此外,对于参数的特殊情况,我们对相应的动态系统进行了完整分析。我们对我们的结果提供了一些生物学解释。

We study the discrete-time dynamical systems associated to a stage-structured wild and sterile mosquito population. We describe all fixed points of the evolution operator (which depends on five parameters) of mosquito population and show that depending on the parameters this operator may have unique, two and infinitely many fixed points. Under some general conditions on parameters we determine type of each fixed point and give the limit points of the dynamical system. Moreover, for a special case of parameters we give full analysis of corresponding dynamical system. We give some biological interpretations of our results.

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