On a basic model of a two-disease epidemic
On a basic model of a two-disease epidemic
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DOI：
10.1016/j.amc.2003.10.033
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发表时间：
2005-01-05
影响因子：
4
通讯作者：
Kyrychko, YN
中科院分区：
文献类型：
--
作者：
Blyuss, KB;Kyrychko, YN
本文考虑了两种疾病在人群中传播的一个基本模型。找到了模型的平衡点，并研究了平衡点的稳定性。特别地，我们证明了无病稳态和单病稳态的稳定性结果。用分岔图分析了平衡可能分支的稳定性，并指出了两种疾病同时存在的共感染平衡的存在。最后，对模型进行了数值模拟，研究了解在参数空间不同区域的行为。(C) 2003 Elsevier Inc.版权所有。
This paper considers a basic model for a spread of two diseases in a population. The equilibria of the model are found, and their stability is investigated. In particular, we prove the stability result for a disease-free and a one-disease steady-states. Bifurcation diagrams are used to analyse the stability of possible branches of equilibria, and also they indicate the existence of a co-infected equilibrium with both diseases present. Finally, numerical simulations of the model are performed to study the behaviour of the solutions in different regions of the parameter space. (C) 2003 Elsevier Inc. All rights reserved.