Endemic dynamics in a host-parasite epidemiological model within spatially heterogeneous environment

Endemic dynamics in a host-parasite epidemiological model within spatially heterogeneous environment
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空间异质环境中宿主-寄生虫流行病学模型的地方动态

DOI:
10.1016/j.aml.2016.05.011
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发表时间:
2016
期刊:
Appl. Math. Lett.
影响因子:
--
通讯作者:
Weiming Wang
Weiming Wang
中科院分区:
--
文献类型:
--
作者:
Yongli Cai;Zhaojuan Wang;Weiming Wang

文献摘要

相似文献

在本文中,我们研究了在空间非均匀环境中的频率和密度依赖的组合传输下的宿主-寄生虫模型的地方病动力学。我们给出了无寄生和寄生驱动的灭绝平稳解的一些性质,证明了正平稳解集是连接无寄生和寄生驱动的灭绝平稳解集的有界连续统.
In this paper, we investigate the endemic dynamics in a host–parasite model under combined frequency- and density-dependent transmission in a spatially heterogeneous environment. We give some properties of the parasite-free and parasite-driven extinction stationary solutions, and prove that the positive stationary solution set forms a bounded continuum which connects the parasite-free and parasite-driven extinction stationary solutions sets.