具有分布式延迟的分层体型结构种群模型的稳定性结果
Stability results for a hierarchical size-structured population model with distributed delay
AI总结：
本文研究了一种具有分布式延迟的结构种群模型，考虑了两种非线性因素，通过半群和谱方法分析模型动力学，推导了稳定性准则并进行了数值模拟。
摘要：
在本文中，我们研究了一种具有分布式延迟的结构种群模型。我们的模型结合了两种不同的非线性因素。具体而言，我们假设个体的生长和死亡率受 scramble 竞争影响，而生育率受 contest 竞争影响。特别地，我们假设种群中存在分层结构，这会影响 mating 成功率。通过线性化方法，利用半群和谱方法分析模型的动力学行为。特别是，我们引入了繁殖函数，并利用它推导出我们模型的线性稳定性准则。进一步，我们进行了数值模拟以支持所获得的稳定性结果。
英文摘要：
In this paper we investigate a structured population model with distributed delay. Our model incorporates two different types of nonlinearities. Specifically we assume that individual growth and mortality are affected by scramble competition, while fertility is affected by contest competition. In particular, we assume that there is a hierarchical structure in the population, which affects mating success. The dynamical behavior of the model is analysed via linearisation by means of semigroup and spectral methods. In particular, we introduce a reproduction function and use it to derive linear stability criteria for our model. Further we present numerical simulations to underpin the stability results we obtained.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
