一个具Logistic-型源和非线性信号产出的趋化系统解的渐近行为

摘要

考虑一个带增长源和非线性信号产出的趋化系统,在适当的参数假设之下,利用Lp先验估计方法和Moser迭代技巧等证明了该系统整体古典解的存在性和有界性.进一步,通过构造合适的Lyapunov泛函研究了有界解的渐近性质.%A chemotaxis system with growth source and nonlinear signal production is considered.Under suitable assumptions on the model parameters,the global existence and boundedness of classical solutions to the system is proven by Lp a priori estimate methods and Moser iteration techniques.Moreover,the asymptotic property of bounded solutions is studied by constructing an appropriate Lyapunov functional.