By using the method of qualitative analysis of stochastic differential equations,a stochastic binge drinking model with bilinear incidence is studied.Firstly,the random disturbance of the contact rate coefficient is introduced into the deterministic binge drinking model.On this basis,the existence and uniqueness of the positive solution of the random binge drinking model are discussed.Secondly,the suffi-cient conditions for the disappearance of the alcoholism population are obtained by calculating white noise intensity.The results show that when the external white noise is large enough,alcoholism popula-tion,population who are quitting alcohol and population who are permanently quitting will disappear.
关键词
白噪声/随机酗酒模型/Itô公式/强大数定律/正解
Key words
white noise/stochastic binge drinking model/Itô formula/strong law of numbers/positive solution
维普
万方数据