지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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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 제5호
- 발행연도
- 2013.1
- 수록면
- 747 - 767 (21page)
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In this paper we have constructed a mathematical model of alcohol abuse which 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 and sensitivity analysis of $R_0$ indicates that ${\beta}1$ (the transmission coefficient from moderate and occasional drinker to heavy drinker) is the most useful parameter for preventing drinking habit. Stability analysis of the model is made using the basic reproduction number. 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 under some conditions. Our important analytical findings are illustrated through computer simulation. Epidemiological implications of our analytical findings are addressed critically.
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참고문헌 (37)
참고문헌 신청
L. Arriola / 2005 / Lecture notes, Forward and adjoint sensitivity analysis: with applications in Dynamical Systems, Linear Algebra and Optimization
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
S. Busenberg / 1989 / Interaction, pair formation and force of infection terms in sexually transmitted diseases, In Mathematical Epidemiology :280~300
J. Carr / 1981 / Applications of Center Manifold Theory / Springer-Verlag
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
S. Busenberg / 1989 / Interaction, pair formation and force of infection terms in sexually transmitted diseases, In Mathematical Epidemiology :280~300
J. Carr / 1981 / Applications of Center Manifold Theory / Springer-Verlag
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