二维空间中具间接信号产出趋化模型解的整体存在性

Global Existence in the Two-Dimensional Chemotaxis Model with Indirect Signal Production

考虑一个山松甲壳虫的扩散和聚集趋化模型,该模型由两个反应-扩散方程和一个常微分方程构成.证明了对任意的充分光滑的初始值该模型整体解的存在性,从而排除了解在有限时间爆破的可能性,讨论了该模型在初始细胞质量适当小的假设下整体解的有界性.

A chemotaxis model describing the diffusion and aggregation of the Mountain Pine Beetle is considered.The model consists of two reaction-diffusion equations and an ordinary differential equation.It is shown that the model admits global solution for arbitrarily sufficiently smooth initial data,which excludes the possibility of finite-time blow-up.The boundedness of solutions is asserted whenever the initial cell mass is appropriately small.