论文标题
种群动力学模型和细菌转化和结合的分析
Population Dynamics Model and Analysis for Bacteria Transformation and Conjugation
论文作者
论文摘要
我们在混合良好的环境中提出了一个两种种群的模型，除了出生和死亡外，由于环境因素和种间相互作用而导致的变化。新型的动力学成分是由两种在细菌中发展抗生素耐药性的常见机制：质粒{\ it转化}，其中，以质粒形式的外部遗传物质在宿主细胞内转移。和{\ IT结合}，一个细胞通过直接细胞对细胞接触将遗传物质传递到另一种遗传物质。通过分析和数值方法，我们分别识别转化和共轭的影响。仅通过转换，两个物种系统将演变为一个物种的灭绝，或者在长期限制中稳定共存。仅通过共轭，我们发现了该系统的有趣振荡。此外，我们量化了转化和共轭的综合效应，并绘制了稳定共存的状态，这是生态影响的结果。
We present a two-species population model in a well-mixed environment where the dynamics involves, in addition to birth and death, changes due to environmental factors and inter-species interactions. The novel dynamical components are motivated by two common mechanisms for developing antibiotic resistance in bacteria: plasmid {\it transformation}, where external genetic material in the form of a plasmid is transferred inside a host cell; and {\it conjugation} by which one cell transfers genetic material to another by direct cell-to-cell contact. Through analytical and numerical methods, we identify the effects of transformation and conjugation individually. With transformation only, the two-species system will evolve towards one species' extinction, or a stable co-existence in the long-time limit. With conjugation only, we discover interesting oscillations for the system. Further, we quantify the combined effects of transformation and conjugation, and chart the regimes of stable co-existence, a result with ecological implications.
