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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 319 - 334 (16page)
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초록· 키워드
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We propose a mathematical model with Holling type II functional response, to study the dynamics of vaccination. In order to make our model more realistic, we have incorporated the recruitment of infected individuals as a continuous process. We have assumed that vaccination cannot be perfect and there is always a possibility of re-infection. We have obtained the existence of a disease free and endemic equilibrium point, when the recruitment of infective is not considered and also obtained the existence of at least one endemic equilibrium point when recruitment of infective is considered. We have proved that if Rv < 1, disease free equilibrium is locally asymptotically stable, which leads to the elimination of the disease from the population. The persistence of the model has also been established. Numerical simulations have been done to establish the results obtained.
목차
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참고문헌 (18)
참고문헌 신청
M. E. Alexander / 2004 / A vaccination model for transmission dynamics of influenza / SIAM J. Appl. Dyn. Syst 3:503~524
R. M. Anderson / 1991 / Infectious diseases of humans / Oxford University Press
B. Buonomo / 2008 / On the dynamics of an SEIR epidemic model with a convex incidence rate / Ric Mat 57(2):261~281
L. Cai / 2009 / Global stability of a stage-structured epidemic model with a nonlinear incidence / Appl. Math. Comput 214(1):73~82
L. Cai / 2011 / Global dynamics of a mathematical model for HTLV-I infection of CD4+ T-cells / Appl. Math. Model 35(7):3587~3595
R. M. Anderson / 1991 / Infectious diseases of humans / Oxford University Press
B. Buonomo / 2008 / On the dynamics of an SEIR epidemic model with a convex incidence rate / Ric Mat 57(2):261~281
L. Cai / 2009 / Global stability of a stage-structured epidemic model with a nonlinear incidence / Appl. Math. Comput 214(1):73~82
L. Cai / 2011 / Global dynamics of a mathematical model for HTLV-I infection of CD4+ T-cells / Appl. Math. Model 35(7):3587~3595
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