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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.23 No.1
- 발행연도
- 2018.3
- 수록면
- 31 - 48 (18page)
- DOI
- 10.22771/nfaa.2018.23.01.04
이용수
초록· 키워드
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In this paper, we extend the classical SIRS epidemic model from a deterministic framework to a stochastic one and formulate it as a stochastic differential equation. We prove the global existence of unique solution. Using the Lyapunov method, we find sufficient conditions for the stochastic asymptotic stability of equilibrium solutions of this model. Finally, establish the existence of a unique ergodic stationary distribution and illustrate our results.
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참고문헌 (20)
참고문헌 신청
L. Arnold / 1974 / Stochastic Differential Equations: Theory and Applications / Wiley
V. Capasso / 1978 / A generalization of the Kermack-McKendrick deterministic epidemic model / Math. Biosci 42:41~61
T.C. Gard / 1998 / Introduction to Stochastic Differential Equations / Marcel Dekker
H.B. Guo / 2006 / Global stability of the endemic equilibrium of multi-group SIR epidemic models / Can. Appl. Math. Q. 14:259~284
H.W. Hethcote / 1976 / Qualitative analysis of communicable disease models / Math. Biosci 28:335~356
V. Capasso / 1978 / A generalization of the Kermack-McKendrick deterministic epidemic model / Math. Biosci 42:41~61
T.C. Gard / 1998 / Introduction to Stochastic Differential Equations / Marcel Dekker
H.B. Guo / 2006 / Global stability of the endemic equilibrium of multi-group SIR epidemic models / Can. Appl. Math. Q. 14:259~284
H.W. Hethcote / 1976 / Qualitative analysis of communicable disease models / Math. Biosci 28:335~356
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