Global influenza pandemics have brought about various public health crises, such as the 2009 H1N1 swine flu. Actually, most swine influenza infections occur during the breed-slaughter process. However, there is little research about the mathematical model to elaborate on the swine influenza transmission with human-pig interaction. In this paper, a new breed-slaughter model with swine influenza transmission is proposed, and the equilibrium points of the model are calculated subsequently. Meanwhile, we analyze the existence of the equilibrium points by the persistence theory, and discuss their stability by the basic reproduction number. And then, we focus on the invasion process of infected domestic animals into the habitat of humans. Under certain conditions as in Theorem 2, we construct a propagating terrace linking human habitat to animal-human coexistent habitat, then to swine flu natural foci, which is divided by spreading speeds.

中文翻译：

---

猪屠宰过程中猪流感传播的动态行为

全球流感大流行带来了各种公共卫生危机，例如2009年的H1N1猪流感。实际上，大多数猪流感感染发生在屠宰过程中。但是，关于通过人猪相互作用传播猪流感的数学模型的研究很少。本文提出了一种新的具有猪流感传播的屠宰模型，并随后计算了模型的平衡点。同时，我们用持久性理论分析了平衡点的存在，并通过基本的再生数讨论了平衡点的稳定性。然后，我们将重点放在被感染的家畜入侵人类栖息地的过程中。在定理2中，在某些条件下