McVinish R
School of Mathematics and Physics, University of Queensland, Brisbane, Australia.
J Math Biol. 2025 Jul 26;91(2):21. doi: 10.1007/s00285-025-02241-w.
The Tallis-Leyton model is a simple model of parasite acquisition where parasites accumulate in the host without affecting the host's mortality, or eliciting any immune reaction from the host. Furthermore, the parasites do not reproduce in the host. We examine how the variability in parasite loads among hosts is affected by the rate of infectious contacts, the distribution of parasite entering the host during infectious contacts, the host's age, and the distribution of parasite lifetimes. Motivated by empirical studies in parasitology, variability is examined in the sense of the Lorenz order and related metrics. Perhaps counterintuitively, increased variability in the distribution of parasite lifetimes is seen to decrease variability in the parasite loads among hosts.
塔利斯 - 莱顿模型是一种简单的寄生虫感染模型，在该模型中，寄生虫在宿主体内积累，既不影响宿主的死亡率，也不会引发宿主的任何免疫反应。此外，寄生虫不在宿主体内繁殖。我们研究了宿主间寄生虫负荷的变异性如何受到感染接触率、感染接触期间进入宿主的寄生虫分布、宿主年龄以及寄生虫寿命分布的影响。受寄生虫学实证研究的启发，从洛伦兹序及相关度量的角度对变异性进行了研究。也许与直觉相反，寄生虫寿命分布变异性的增加会降低宿主间寄生虫负荷的变异性。
