A schistosomiasis model with mating structure and time delay
A schistosomiasis model with mating structure and time delay
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DOI：
10.1016/j.mbs.2007.11.001
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发表时间：
2008-02-01
影响因子：
4.3
通讯作者：
Xu, Dashun
中科院分区：
文献类型：
--
作者：
Castillo-Chavez, Carlos;Feng, Zhilan;Xu, Dashun
本文用一个具有时滞的齐次方程组来模拟单染色体的种群动力学。该模型包括寄生虫的交配结构，多种抗性的多体菌株，以及与寄生虫生命周期相关的生物复杂性。推导了抗性菌株的入侵判据和共存阈值条件。这些结果用于探索药物治疗对耐药菌株存活的影响。数值模拟表明，目前的模型的动力学行为是没有质的不同，从早期的模型，忽略了与寄生虫的生命周期的多个阶段的时间延迟的影响。然而，从数量上说，时间延迟使耐药菌株更有可能侵入寄生虫种群。(c)2007爱思唯尔公司All rights reserved.
A system of homogeneous equations with a time delay is used to model the population dynamics of schistosomes. The model includes the parasite's mating structure, multiple resistant schistosome strains, and biological complexity associated with the parasite's life cycle. Invasion criteria of resistant strains and coexistence threshold conditions are derived. These results are used to explore the impact of drug treatment on resistant strain survival. Numerical simulations indicate that the dynamical behaviors of the current model are not qualitatively different from those derived from an earlier model that ignores the impact of time delays associated with the multiple stages in parasite's life cycle. However, quantitatively the time delays make it more likely for drug-resistant strains to invade in a parasite population. (c) 2007 Elsevier Inc. All rights reserved.