一类非线性模型的存在性、正性和稳定性
Existence, positivity and stability for a nonlinear model of cellular proliferation
摘要：
在本文中，我们研究的系统的两个非线性偏微分方程，所产生的模型的细胞增殖，描述了生产的血细胞在骨髓中。由于细胞复制，这两个偏微分方程表现出延迟的成熟变量和时间延迟取决于这个成熟度。我们证明了该模型在经典的利普希茨条件下存在唯一的整体解.我们还得到了解的正性以及平凡平衡点的局部稳定性和全局稳定性。
英文摘要：
In this paper, we investigate a system of two nonlinear partial differential equations, arising from a model of cellular proliferation which describes the production of blood cells in the bone marrow. Due to cellular replication, the two partial differential equations exhibit a retardation of the maturation variable and a temporal delay depending on this maturity. We show that this model has a unique solution which is global under a classical Lipschitz condition. We also obtain the positivity of the solutions and the local and global stability of the trivial equilibrium.
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。
