The coevolution or coexistence of multiple viruses with multiple hosts has been an important issue in viral ecology. This paper is to study the mathematical properties of the solutions of a chemostat model for two host species and two virus species. By virtue of the global dynamics of its submodels and the theories of uniform persistence and Hopf bifurcation, we derive sufficient conditions for the coexistence of two hosts with two viruses and coexistence of two hosts with one virus, as well as occurrence of Hopf bifurcation.

中文翻译：

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在恒化器环境中两两病毒系统的动力学

多种病毒与多种宿主的共进化或共存一直是病毒生态学中的重要问题。本文旨在研究两种宿主物种和两种病毒物种的化学恒温器模型解的数学性质。借助其子模型的全局动力学以及一致持久性和Hopf分支的理论，我们得出了两个宿主与两种病毒共存以及两个宿主与一种病毒共存以及发生Hopf分支的充分条件。