汉坦病毒流行中的行波感染
Traveling waves of infection in the Hantavirus epidemics
摘要：
行波在鹿鼠汉坦病毒感染模型中进行分析。预测了两种波动现象的存在。环境参数控制两种传播状态之间的过渡。在其中一个，感染的前沿以恒定的速度滞后。在另一个实验中，易感小鼠和受感染小鼠的前沿以相同的速度移动，间隔一个恒定的延迟。通过数值计算和分段线性化分析了时滞对系统参数的依赖关系。
英文摘要：
Traveling waves are analyzed in a model of the Hantavirus infection of deer mice. The existence of two kinds of wave phenomena is predicted. An environmental parameter governs a transition between two regimes of propagation. In one of them the front of infection lags behind at a constant rate. In the other, fronts of susceptible and infected mice travel at the same speed, separated by a constant delay. The dependence of the delay on system parameters is analyzed numerically and through a piecewise linearization.
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