Modelling and simulation of a schistosomiasis infection with biological control

Modelling and simulation of a schistosomiasis infection with biological control
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DOI:
10.1016/s0001-706x(03)00065-2
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发表时间:
2003-07-01
期刊:
影响因子:
2.7
通讯作者:
Victory, HD
Victory, HD
中科院分区:
医学2区
文献类型:
--
作者:
Allen, EJ;Victory, HD

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建立了一个血吸虫病感染的数学模型,该模型涉及人类和中间钉螺宿主以及额外的哺乳动物宿主和竞争钉螺物种。该模型由感染亚群和易感亚群的8个微分方程组组成。确定性系统被推广到一个随机的微分方程组,以解释人口水平的人口变化的随机行为。对模型中的参数进行了估计,并对不同条件下的种群进行了计算模拟。模拟的结果显示了几个有趣的特征,例如,入侵的竞争蜗牛物种可以迅速改变血吸虫病感染的动态。(C)2003 Elsevier Science B.V.保留所有权利。
A mathematical model is developed for a schistosomiasis infection that involves human and intermediate snail hosts as well as an additional mammalian host and a competitor snail species. The model consists of a system of eight differential equations for the infected and susceptible subpopulations. The deterministic system is generalized to a stochastic system of differential equations to account for the random behavior of demographic changes in the population levels. Values for the parameters in the model are estimated and the populations are computationally simulated under various conditions. Results of the simulations indicate several interesting features such as the rapidity by which an invading competing snail species can change the dynamics of a schistosomiasis infection. (C) 2003 Elsevier Science B.V. All rights reserved.