一类解耦的SI传染病系统的行波解
发布时间：2019-03-04 15:06
【摘要】：在传染病动力学中,行波解表示一种传染源以常数波速在空间的传播.本文研究一类解耦的SI系统 行波解的存在性.主要研究方法是改进的打靶法,利用打靶法,构造一个Σ集,在Σ集内找到全局正解,证明当t→-∞时,它收敛到无病平衡点;利用Liapunov函数,证明系统全局正解当t→∞时,收敛到地方病平衡点,即行波解是存在的,再利用数值模拟去验证所得到的结果.改进的打靶法的优势在于不需要构造复杂的Wazewski′s集,且能计算最小波速.
[Abstract]:In infectious disease dynamics, traveling wave solutions represent the spatial propagation of an infectious source at a constant wave velocity. In this paper, we study the existence of traveling wave solutions for a class of decoupled SI systems. The main research method is the improved shooting method. By using the shooting method, a 危 set is constructed and the global positive solution is found in the 危 set. It is proved that when t-鈭，
本文编号：2434378
[Abstract]:In infectious disease dynamics, traveling wave solutions represent the spatial propagation of an infectious source at a constant wave velocity. In this paper, we study the existence of traveling wave solutions for a class of decoupled SI systems. The main research method is the improved shooting method. By using the shooting method, a 危 set is constructed and the global positive solution is found in the 危 set. It is proved that when t-鈭，
本文编号：2434378
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