Global dynamics of a delayed alcoholism model with the effect of health education
An alcohol consumption model with health education and three time delays is formulated and analyzed. The alcoholism generation number is defined. Two steady states of the model are found. At the same time, the corresponding global dynamics of the model are analyzed respectively in four cases with di...
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AIMS Press
2021-04-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/mbe.2021048?viewType=HTML |
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doaj-4bdf8393fe23480aadff76d962a408c82021-04-07T01:36:56ZengAIMS PressMathematical Biosciences and Engineering1551-00182021-04-0118190493210.3934/mbe.2021048Global dynamics of a delayed alcoholism model with the effect of health educationShuang Hong Ma0Hai Feng Huo 1Hong Xiang2Shuang Lin Jing31. Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China1. Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China1. Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China2. College of Mathematical Sciences, Harbin Engineering University, Harbin 150001, ChinaAn alcohol consumption model with health education and three time delays is formulated and analyzed. The alcoholism generation number is defined. Two steady states of the model are found. At the same time, the corresponding global dynamics of the model are analyzed respectively in four cases with different time delays. Then, the effects of health education and three time delays in controlling the alcohol problem are discussed. Some numerical simulation results are also given to support our theoretical predictions.http://www.aimspress.com/article/doi/10.3934/mbe.2021048?viewType=HTMLalcoholism modeltime delayshealth educationglobal dynamicsnumerical simulation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Shuang Hong Ma Hai Feng Huo Hong Xiang Shuang Lin Jing |
| spellingShingle |
Shuang Hong Ma Hai Feng Huo Hong Xiang Shuang Lin Jing Global dynamics of a delayed alcoholism model with the effect of health education Mathematical Biosciences and Engineering alcoholism model time delays health education global dynamics numerical simulation |
| author_facet |
Shuang Hong Ma Hai Feng Huo Hong Xiang Shuang Lin Jing |
| author_sort |
Shuang Hong Ma |
| title |
Global dynamics of a delayed alcoholism model with the effect of health education |
| title_short |
Global dynamics of a delayed alcoholism model with the effect of health education |
| title_full |
Global dynamics of a delayed alcoholism model with the effect of health education |
| title_fullStr |
Global dynamics of a delayed alcoholism model with the effect of health education |
| title_full_unstemmed |
Global dynamics of a delayed alcoholism model with the effect of health education |
| title_sort |
global dynamics of a delayed alcoholism model with the effect of health education |
| publisher |
AIMS Press |
| series |
Mathematical Biosciences and Engineering |
| issn |
1551-0018 |
| publishDate |
2021-04-01 |
| description |
An alcohol consumption model with health education and three time delays is formulated and analyzed. The alcoholism generation number is defined. Two steady states of the model are found. At the same time, the corresponding global dynamics of the model are analyzed respectively in four cases with different time delays. Then, the effects of health education and three time delays in controlling the alcohol problem are discussed. Some numerical simulation results are also given to support our theoretical predictions. |
| topic |
alcoholism model time delays health education global dynamics numerical simulation |
| url |
http://www.aimspress.com/article/doi/10.3934/mbe.2021048?viewType=HTML |
| work_keys_str_mv |
AT shuanghongma globaldynamicsofadelayedalcoholismmodelwiththeeffectofhealtheducation AT haifenghuo globaldynamicsofadelayedalcoholismmodelwiththeeffectofhealtheducation AT hongxiang globaldynamicsofadelayedalcoholismmodelwiththeeffectofhealtheducation AT shuanglinjing globaldynamicsofadelayedalcoholismmodelwiththeeffectofhealtheducation |
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