We consider a coupled system of delay differential equations for a single-species tick population dynamics, assuming feeding adult ticks are distributed by their hosts in a spatially heterogeneous environment consisting of two patches where egg ticks produced will complete their life cycles with different, normal and diapause, developmental delays. We show that the mobility of adult tick host and the diapause developmental delay combined drive a synchronized oscillation in the total tick populations around a uniquely defined positive equilibrium, and this synchronization makes the oscillatory patterns much simpler in comparison with multi-peak oscillations exhibited in the absence of host mobility.

我们考虑单种蜱种群动态的延迟微分方程耦合系统，假设摄食的成年蜱由它们的宿主分布在由两个斑块组成的空间异质环境中，其中产生的卵蜱将以不同的、正常的和不同的方式完成它们的生命周期。滞育、发育迟缓。我们表明，成年蜱宿主的移动性和滞育发育延迟共同驱动了总蜱种群围绕唯一定义的正平衡的同步振荡，并且与在缺乏宿主的移动性。