分析一类非线性双性别尺度结构种群模型,其性别比依赖于尺度但不随时间变化.运用特征线方法和先验估计研究平衡态的稳定性, 结果表明:当再生数小于1时, 无论初始分布如何种群都将灭绝; 当再生数大于1时,种群可能灭绝也可能超越指数型增长. 借助Laplace变换确立了种群的遍历性,并对种群内部的竞争效果作了分析.

This paper is concerned with a nonlinear size-structured population model with a time-invarying sex-ratio. Global or local stability results are estab-lished by means of characteristic curves and prior estimations, which show that, if the reproduction number is less than one, the population will go to vanish for all of
the initial distributions; On the other hand, the population may be extinct or in-crease in a manner faster than exponential style if the reproduction number is greater than one. By applying Laplace transformation, the population ergodicity is proven.Finally, the effect of intra-species competition is analysed too.