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Global dynamics of a delayed alcoholism model with the effect of health education
Shuang Hong Ma1, Hai Feng Huo1, Hong Xiang1
1Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China.
Abstract:
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.
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