一类媒介传播疾病模型的动力学研究(英文)

Dynamics in a vector disease model

研究了一类具有非局部时滞和空间扩散的传染病模型的整体解.这里整体解是指时间变量t在整个实轴R上有定义的古典解.利用方程的行波解和相应常微分方程的异宿轨道,得到了几类新型的整体解.

This paper is concerned with the existence of entire solutions in a vector disease model with diffusive and nonlocal delay. Here the entire solutions are meant by solutions defined for all t ∈ R. By considering the mixing of traveling wave solutions with heteroclinic orbits of the spatially averaged ordinary differential equations, several new types of entire solutions are obtained.