Rabies is one of the oldest viral diseases and it has been present on every continent except Antarctica. Within the U.S. human rabies cases are quite rare. In the eastern USA, raccoons are the main reservoir hosts and pet vaccination serves as an important barrier against human rabies exposure. In this paper, we develop a compartmental model for rabies transmission amongst raccoons and domestic pets. We find the disease-free equilibria, reproduction numbers for the raccoons and domestic pets. We also determine the vaccination coverage/rates, both for raccoons and pets, needed to achieve the elimination of rabies.

中文翻译：

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美国狂犬病疫苗接种的数学模型

狂犬病是最古老的病毒性疾病之一，除南极洲外，每个大陆都存在狂犬病。在美国，人类狂犬病病例相当罕见。在美国东部，浣熊是主要的储存宿主，宠物疫苗接种是防止人类接触狂犬病的重要屏障。在本文中，我们开发了浣熊和家养宠物之间狂犬病传播的隔室模型。我们找到了浣熊和家养宠物的无病平衡、繁殖数。我们还确定了消除狂犬病所需的浣熊和宠物的疫苗接种覆盖率/率。