本项目将重点研究几类在生物学中有重要应用价值的Chemotaxis（化学趋化性）方程组。这些方程组通常为非线性抛物型方程组，并具有拟线性退化的特征。我们将深入研究这些方程组解的整体存在性、有界性等性质。并在此基础上，发展和推广Lojasiewicz-Simon 方法，研究当时间趋于无穷大时整体解对平衡态的收敛性、收敛速率，以及稳态解集合的性质。同时，我们还将探讨相应于方程组的无穷维动力系统的性质，例如，整体吸引子的存在性。.本项目所研究的问题具有重要的生物背景，研究成果有助于加深科研人员对趋化现象的了解，并为生物实验和数值计算提供理论依据。同时，项目的研究能进一步丰富非线性发展方程的相关理论。

This project is concerned with nonuniformly parabolic quasilinear systems modelling chemotaxis, which is a popular phenomenon in biology. We will study the global existence and boundedness of the solutions. Then by developing and applying the Lojasiewicz-Simon method , we will consider the convergence to equilibrium and the convergence rate of global solutions as time tends to infinity. Meanwhile, the steady states sets will be deeply studied, too. Furthermore, the project will also analyze the infinite-dimensional dynamical system, such as the existence of global attractor...The research of this project will help scientists understand more about the chemotaxis phenomenon, and provide a theoretical basis for both biological experiments and numerical computation. What's more, this project can enrich the theory of nonlinear evolution equations.