지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제31권 제1호
- 발행연도
- 2013.1
- 수록면
- 1 - 25 (25page)
이용수
초록· 키워드
오류제보하기
In this paper we have developed a mathematical model of alcohol abuse. It consists of four compartments corresponding to four population classes, namely, moderate and occasional drinkers, heavy drinkers, drinkers in treatment and temporarily recovered class. Basic reproduction number $R_0$ has been determined. Sensitivity analysis of $R_0$ identifies ${\beta}_1$, the transmission coefficient from moderate and occasional drinker to heavy drinker, as the most useful parameter to target for the reduction of $R_0$. The model is locally asymptotically stable at disease free or problem free equilibrium (DFE) $E_0$ when $R_0$ < 1. It is found that, when $R_0$ = 1, a backward bifurcation can occur and when $R_0$ > 1, the endemic equilibrium $E^*$ becomes stable. Further analysis gives the global asymptotic stability of DFE. Our aim of this analysis is to identify the parameters of interest for further study with a view for informing and assisting policy-makers in targeting prevention and treatment resources for maximum effectiveness.
목차
등록된 정보가 없습니다.
참고문헌 (39)
참고문헌 신청
L. Arriola / 2005 / Lecture notes, Forward and adjoint sensitivity analysis: with applications in Dynamical Systems, Linear Algebra and Optimization / Mathematical and Theoretical Biology Institute
F. Brauer / 2008 / Backward bifurcation of an epidemic model with saturated treatment function / J. Math. Anal. Appl 348:433~443
F. Brauer / 2001 / Mathematical Models in Population Biology and Epidemiology / Springer-Verlay
R. J. Braun / 2007 / Applications of small-world network theory in alcohol epidemiology / J. Stud. Alcohol 67:591~599
S. Busenberg / 1989 / Interaction, pair formation and force of infection terms in sexually transmitted diseases, In Mathematical Epidemiology :280~300
F. Brauer / 2008 / Backward bifurcation of an epidemic model with saturated treatment function / J. Math. Anal. Appl 348:433~443
F. Brauer / 2001 / Mathematical Models in Population Biology and Epidemiology / Springer-Verlay
R. J. Braun / 2007 / Applications of small-world network theory in alcohol epidemiology / J. Stud. Alcohol 67:591~599
S. Busenberg / 1989 / Interaction, pair formation and force of infection terms in sexually transmitted diseases, In Mathematical Epidemiology :280~300
이 논문의 저자 정보
최근 본 자료
댓글(0)
0