Mathematical Sciences: Nonlinear Structured Growth Dynamics

拟议的研究涉及的模型的研究， 人口增长和多物种相互作用， 结构化人口，即人口的重要 个体生物的生长、死亡和繁殖率 显著依赖于生理特性如大小， 年龄或发育阶段。 这种生理上的影响 个体特征对种群动态的影响 水平将被探索。 一些模型已经出现在 将研究和推广文献。 然而，重点是， 将是对某些类型的新模型的仔细推导 结构化的种群和多物种的相互作用， 生物学的重要性和兴趣一直受到重视， 这是文学，以前没有被模仿过。 全 一系列标准以及最近开发的分析工具 在某些情况下，作为建议的一部分， 研究，扩展用于本研究。 数值分析 模型也将发挥重要作用。

The proposed research is concerned with the study of models of population growth and multispecies interactions involving structured populations, i.e. populations for which the vital growth, mortality and fecundity rates of individual organisms are significantly dependent upon physiological traits such as size, age or developmental stage. The effects that such physiological traits of individuals have on the dynamics at the population level will be explored. Some models which have appeared in the literature will be studied and extended. The focus, however, will be on the careful derivation of new models for certain types of structured populations and multispecies interactions to which an importance and interest has been attached in the biological literature and which have not been previously modeled. A full range of standard as well as recently developed analytical tools will be applied and in some cases, as part of the proposed research, extended for use in this study. The numerical analysis of models is expected also to play an important role.