非自治的具有阶段结构的时滞捕食被捕食模型的周期解(英文)

Periodic solution for a delayed nonautonomous stage-structured predator-prey model

研究了非自治的具有阶段结构的时滞捕食被捕食模型的周期解的存在问题.模型中阶段结构是针对被捕食者种群,而时滞是由于捕食者捕食食饵而转化成自身的一部分的过程引起的.利用Gaines及Mawhin的叠合度理论,文章得到了该模型周期解存在的充分条件.最后给出了一个实例以验证文章结果的可行性.

A nonautonomous predator-prey model with stage-structure on prey and gestation delay is studied.It is assumed that immature and mature individuals of the prey species are divided by a fixed age,and that predator only attack the immature individuals.By using Mawhin’s continuation theorem of coincidence degree theory,a sufficient condition on the existence of positive periodic solutions for the model is obtained.An example is presented to illustrate the feasibility of our main results.