蚊子行为表型可塑性年龄结构问题的数学分析
Mathematical analysis of an age structured problem modeling phenotypic plasticity in mosquito behaviour
摘要：
本文提出了一个年龄结构的问题，模拟蚊子吸血可塑性在自然环境中。我们首先通过研究$C_0$ -半群的无穷小生成元算子$\mathbb{A}$的谱来研究其解析渐近解。实际上，对$\mathbb{A}$ { \it本身}的光谱的研究是有趣的。另外，在一定条件下得到了非负稳定解的存在性和不存在性。
英文摘要：
This paper presents an age structured problem modelling mosquito blood-feeding plasticity in a natural environment. We first investigate the analytical asymptotic solution through studying the spectrum of an operator $\mathbb{A}$ which is the infinitesimal generator of a $C_0$-semigroup. Indeed, the study of the spectrum of $\mathbb{A}$ {\it per se} is interesting. Additionally, we get the existence and nonexistence of nonnegative steady solutions under some conditions.
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。
