Beugnet F, Chalvet-Monfray K, Sabatier P
Unité de Parasitologie, Ecole Nationale Vétérinaire de Maisons-Alfort, France.
Vet Parasitol. 1998 Jun 30;77(4):277-88. doi: 10.1016/s0304-4017(98)00116-2.
Boophilus microplus is a common cattle tick of great economic importance in various tropical and subtropical countries like New Caledonia. The proposed model describes the population dynamics of female Boophilus microplus in the absence of resistant ticks. It is a system of six difference equations which can be mathematically analyzed. The analysis of the system shows the great importance of the eigenvalue denoted by lambda1. The population of ticks increases if lambda1 < 1 and decreases if lambda1 > 1. The lambda1 eigenvalue depends, in particular, on the parasitic surviving rate and encounter rate between the larvae and the cows. The treatments decrease the parasitic surviving rate as the agronomic measures decrease the encounter rate. This model permits to quantify the conditions of treatments (or of the efficacy of a vaccine) and of agronomic measures by which the populations are controlled. It shows that the different treatment rhythms and the presence or not of the wild or domestic refuges plays a major role on the dynamics of tick population.
微小牛蜱是新喀里多尼亚等多个热带和亚热带国家极具经济重要性的常见牛蜱。所提出的模型描述了在没有抗性蜱的情况下微小牛蜱雌蜱的种群动态。它是一个由六个差分方程组成的系统，可进行数学分析。对该系统的分析表明，由λ1表示的特征值非常重要。如果λ1 < 1，蜱的种群数量增加；如果λ1 > 1，蜱的种群数量减少。λ1特征值尤其取决于寄生存活率以及幼虫与奶牛之间的相遇率。处理措施会降低寄生存活率，就像农艺措施会降低相遇率一样。该模型能够量化控制种群数量的处理条件（或疫苗效力）以及农艺措施。它表明，不同的处理节奏以及野生或家养庇护所的有无对蜱种群动态起着主要作用。
