Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time Delay

Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time Delay

This paper aims to discuss the delay epidemic model with vertical transmission, constant input, and nonlinear incidence. Some sufficient conditions are given to guarantee the existence and global attractiveness of the infection-free periodic solution and the uniform persistence of the addressed mode...

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Main Authors: Dongmei Li, Chunyu Gui, Xuefeng Luo
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/818401
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spelling doaj-efd2e839777846aabf068820a0b224722020-11-25T02:48:03ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/818401818401Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time DelayDongmei Li0Chunyu Gui1Xuefeng Luo2Department of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaThis paper aims to discuss the delay epidemic model with vertical transmission, constant input, and nonlinear incidence. Some sufficient conditions are given to guarantee the existence and global attractiveness of the infection-free periodic solution and the uniform persistence of the addressed model with time delay. Finally, a numerical example is given to demonstrate the effectiveness of the proposed results.http://dx.doi.org/10.1155/2013/818401
collection DOAJ
language English
format Article
sources DOAJ
author Dongmei Li
Chunyu Gui
Xuefeng Luo
spellingShingle Dongmei Li
Chunyu Gui
Xuefeng Luo
Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time Delay
Mathematical Problems in Engineering
author_facet Dongmei Li
Chunyu Gui
Xuefeng Luo
author_sort Dongmei Li
title Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time Delay
title_short Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time Delay
title_full Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time Delay
title_fullStr Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time Delay
title_full_unstemmed Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time Delay
title_sort impulsive vaccination seir model with nonlinear incidence rate and time delay
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description This paper aims to discuss the delay epidemic model with vertical transmission, constant input, and nonlinear incidence. Some sufficient conditions are given to guarantee the existence and global attractiveness of the infection-free periodic solution and the uniform persistence of the addressed model with time delay. Finally, a numerical example is given to demonstrate the effectiveness of the proposed results.
url http://dx.doi.org/10.1155/2013/818401
work_keys_str_mv AT dongmeili impulsivevaccinationseirmodelwithnonlinearincidencerateandtimedelay
AT chunyugui impulsivevaccinationseirmodelwithnonlinearincidencerateandtimedelay
AT xuefengluo impulsivevaccinationseirmodelwithnonlinearincidencerateandtimedelay
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