论文标题
分叉和稳定与共同感染的交换
Bifurcations and the exchange of stability with coinfection
论文作者
论文摘要
我们对涉及两种相互影响的病原体的SIR模型进行分叉分析。假定部分跨免疫，并被认为与单独的每种疾病相比，共同感染的传播不那么传播。易感班级具有密度依赖性增长，载有$ k $。我们的模型通过引入与易感性接触时仅传播一种疾病的可能性，从而在我们以前的论文中开发的模型概括了。我们进行分叉分析，并证明存在由$ k $的稳定平衡点的分支。分支分叉的一些$ K $，导致存在隔室以及系统的整体动态的变化。根据参数，发生不同的过渡方案。
We perform a bifurcation analysis on an SIR model involving two pathogens that influences each other. Partial cross-immunity is assumed and coinfection is thought to be less transmittable then each of the diseases alone. The susceptible class has density dependent growth with carrying capacity $K$. Our model generalizes the model developed in our previous papers by introducing the possibility for coinfected individuals to spread only one of the diseases when in contact with a susceptible. We perform a bifurcation analysis and prove the existence of a branch of stable equilibrium points parmeterized by $K$. The branch bifurcates for some $K$ resulting in changes in which compartments are present as well as the overall dynamics of the system. Depending on the parameters different transition scenarios occur.
