Modelling Alcoholism as a Contagious Disease: A Mathematical Model with Awareness Programs and Time Delay
المؤلفون المشاركون
Huo, Hai-Feng
Meng, Xin-You
Ma, Shuang-Hong
المصدر
Discrete Dynamics in Nature and Society
العدد
المجلد 2015، العدد 2015 (31 ديسمبر/كانون الأول 2015)، ص ص. 1-13، 13ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2015-10-19
دولة النشر
مصر
عدد الصفحات
13
التخصصات الرئيسية
الملخص EN
A dynamic alcohol consumption model with awareness programs and time delay is formulated and analyzed.
The aim of this model is to capture the effects of awareness programs and time delay in controlling the alcohol problems.
We introduce awareness programs by media in the model as a separate class with growth rate of the cumulative density of them being proportional to the number of mortalities induced by heavy drinking.
Susceptible population will isolate themselves and avoid contact with the heavy drinkers or become aware of risk of heavy drinking and decline to drink due to such programs.
In particular, we incorporate time delay because the nonconsumer population will take a period of time to become an alcohol consumer.
We find that the model has two equilibria: one without alcohol problems and one where alcohol problems are endemic in population.
The model analysis shows that though awareness programs cannot eradicate alcohol problems, they are effective measures in controlling the alcohol problems.
Further, we conclude that the time delay in alcohol consumption habit which develops in susceptible population may result in Hopf bifurcation by increasing the value of time delay.
Some numerical simulation results are also given to support our theoretical predictions.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Ma, Shuang-Hong& Huo, Hai-Feng& Meng, Xin-You. 2015. Modelling Alcoholism as a Contagious Disease: A Mathematical Model with Awareness Programs and Time Delay. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1060435
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Ma, Shuang-Hong…[et al.]. Modelling Alcoholism as a Contagious Disease: A Mathematical Model with Awareness Programs and Time Delay. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1060435
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Ma, Shuang-Hong& Huo, Hai-Feng& Meng, Xin-You. Modelling Alcoholism as a Contagious Disease: A Mathematical Model with Awareness Programs and Time Delay. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1060435
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1060435
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر