论文标题
密度依赖对共感染动力学的影响
Effect of density dependence on coinfection dynamics
论文作者
论文摘要
在本文中,我们开发了一个用于共同感染的先生模型。我们讨论了基础动态如何取决于承载能力$ k $:从简单的动态到更复杂的动力。这可以有助于理解更复杂的动态的外观,例如混乱等。还考虑了密度依赖人群的增长。据表明,病原体可以入侵人口,其入侵取决于承载能力$ k $,这表明人口中疾病的进展取决于承载能力。我们的方法基于分叉分析,该分析允许大量概括以前的Lotka-Volterra类型模型。
In this paper we develop an SIR model for coinfection. We discuss how the underlying dynamics depends on the carrying capacity $K$: from a simple dynamics to a more complicated. This can help in understanding of appearance of more complicated dynamics, for example, chaos etc. The density dependent population growth is also considered. It is presented that pathogens can invade in population and their invasion depends on the carrying capacity $K$ which shows that the progression of disease in population depends on carrying capacity. Our approach is based on a bifurcation analysis which allows to generalize considerably the previous Lotka-Volterra type models.