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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.29 No.1
- 발행연도
- 2019.1
- 수록면
- 69 - 87 (19page)
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초록· 키워드
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In the presence of treatment, most epidemic models demon- strate behavior of backward bifurcation. This is important in epidemiol- ogy because it provides signi cant information for disease control. How- ever, most models consider only one single population. In this paper, an extended model of two populations in the form SIR-SI involving vaccina- tion and treatment is analyzed. The analysis of local and global stability of equilibria is discussed. By using the center manifold theorem, this model has backward bifurcation behavior when the number of infected people exceeds the treatment capacity. Vaccination decreases the basic reproduction number, but does not a ect the backward bifurcation be- havior. This study also showed that under vaccination and treatment, an endemic equilibrium always occurs when R0 > 1.
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참고문헌 (28)
참고문헌 신청
R. M. Anderson / 1992 / Infectious diseases of humans: dynamics and control / Oxford University Press
J. Arino / 2003 / Global results for an epidemic model with vaccination that exhibits backward bifurcation / SIAM J. Appl. Math 64:260~276
Z. Bai / 2011 / Existence of multiple periodic solutions for an SIR model with seasonality / Nonlinear Anal.-Theor 74(11):3548~3555
C. Castillo-Chavez / 2002 / Mathematical approaches for emerging and reemerging infection diseases: an introduction / Springer :229~250
C. Castillo-Chavez / 2004 / Dynamical models of Tuberculosis and their applica-tions / Math. Biosci. Eng 1:361~404
J. Arino / 2003 / Global results for an epidemic model with vaccination that exhibits backward bifurcation / SIAM J. Appl. Math 64:260~276
Z. Bai / 2011 / Existence of multiple periodic solutions for an SIR model with seasonality / Nonlinear Anal.-Theor 74(11):3548~3555
C. Castillo-Chavez / 2002 / Mathematical approaches for emerging and reemerging infection diseases: an introduction / Springer :229~250
C. Castillo-Chavez / 2004 / Dynamical models of Tuberculosis and their applica-tions / Math. Biosci. Eng 1:361~404
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