Analysis of a Simple Vector-Host Epidemic Model with Direct Transmission

doi:10.1155/2010/679613

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	Analysis of a Simple Vector-Host Epidemic Model with Direct Transmission
	Cai, Liming 1,2; Li, Xuezhi 1
	2010
发表期刊	DISCRETE DYNAMICS IN NATURE AND SOCIETY
ISSN	1026-0226
页码	12
摘要	Vector-host epidemic models with direct transmission are proposed and analyzed. It is shown that the stability of the equilibria in the proposed models can be controlled by the basic reproduction number of the disease transmission. One model considers that the dynamics of human hosts and vectors are described by SIS and SI model, respectively, where the global asymptotical stability for the equilibria of the model is analyzed by constructing Lyapunov function, respectively. The other model considers that the dynamics of the human hosts and vectors are described by SIRS and SI model, respectively, where the global stability of the disease-free equilibrium and the persistence of the disease in the model are also analyzed, respectively.
DOI	10.1155/2010/679613
语种	英语
资助项目	National Natural Science Foundation of China[10971178] ; University Key Teacher Foundation of Henan Province[2009GGJS-076] ; China Postdoctoral Science Foundation[20090460552] ; Innovative Research Team (in Science and Technology) in University of Henan Province[2010IRTSTHN006] ; Natural Science Foundation of Henan Province[102300410022]
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000278147400001
出版者	HINDAWI PUBLISHING CORPORATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9714
专题	中国科学院数学与系统科学研究院
通讯作者	Cai, Liming
作者单位	1.Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cai, Liming,Li, Xuezhi. Analysis of a Simple Vector-Host Epidemic Model with Direct Transmission[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2010:12.
APA	Cai, Liming,&Li, Xuezhi.(2010).Analysis of a Simple Vector-Host Epidemic Model with Direct Transmission.DISCRETE DYNAMICS IN NATURE AND SOCIETY,12.
MLA	Cai, Liming,et al."Analysis of a Simple Vector-Host Epidemic Model with Direct Transmission".DISCRETE DYNAMICS IN NATURE AND SOCIETY (2010):12.