메뉴 건너뛰기




Volumn 354, Issue 1-4, 2005, Pages 111-126

Stability of a stochastic SIR system

Author keywords

Delay SIR model; Lyapunov function; Numerical simulation; SIR model; Stochastic process; Stochastic stability

Indexed keywords

ASYMPTOTIC STABILITY; BIOMEDICAL ENGINEERING; COMPUTER SIMULATION; DISEASES; INTEGRATION; MATHEMATICAL MODELS; THEOREM PROVING;

EID: 19944381861     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.02.057     Document Type: Article
Times cited : (258)

References (12)
  • 1
    • 0003295257 scopus 로고    scopus 로고
    • Mathematical theory of age-structured population dynamics
    • Comitato Nazionale per le Scienze Matematiche, Consiglio Nazionale delle Ricerche (C.N.R.), Giardini editori e stampatori in Pisa
    • M. Iannelli, Mathematical theory of age-structured population dynamics, Applied Mathematics Monographs, Comitato Nazionale per le Scienze Matematiche, Consiglio Nazionale delle Ricerche (C.N.R.), Giardini editori e stampatori in Pisa.
    • Applied Mathematics Monographs
    • Iannelli, M.1
  • 3
    • 0029190838 scopus 로고
    • Global stability of a SIR epidemic model with time delay
    • E. Beretta, and Y. Takeuchi Global stability of a SIR epidemic model with time delay J. Math. Biol. 33 1995 250 260
    • (1995) J. Math. Biol. , vol.33 , pp. 250-260
    • Beretta, E.1    Takeuchi, Y.2
  • 4
    • 0035425156 scopus 로고    scopus 로고
    • Global asymptotic stability of a SIR epidemic model with distributed time delay
    • E. Beretta, T. Hara, W. Ma, and Y. Takeuchi Global asymptotic stability of a SIR epidemic model with distributed time delay Nonlinear Anal. 47 2001 4107 4115
    • (2001) Nonlinear Anal. , vol.47 , pp. 4107-4115
    • Beretta, E.1    Hara, T.2    Ma, W.3    Takeuchi, Y.4
  • 5
    • 0003100558 scopus 로고
    • Stability analysis for a vector disease model
    • K.L. Cooke Stability analysis for a vector disease model Rocky Mount. J. Math. 9 1979 31 42
    • (1979) Rocky Mount. J. Math. , vol.9 , pp. 31-42
    • Cooke, K.L.1
  • 7
    • 0017228276 scopus 로고
    • Qualitative analyses of communicable disease models
    • H.W. Hethcote Qualitative analyses of communicable disease models Math. Biosci. 28 1976 335 356
    • (1976) Math. Biosci. , vol.28 , pp. 335-356
    • Hethcote, H.W.1
  • 9
    • 0018656345 scopus 로고
    • Population biology of infectious diseases
    • R.M. Anderson, and R.M. May Population biology of infectious diseases Part I, Nature 280 1979 361 367
    • (1979) Part I, Nature , vol.280 , pp. 361-367
    • Anderson, R.M.1    May, R.M.2
  • 12
    • 0011067564 scopus 로고
    • Stability in probability of nonlinear stochastic hereditary systems
    • L.S. Shaikhet Stability in probability of nonlinear stochastic hereditary systems Dyn. Syst. Appl. 4 1995 199 204
    • (1995) Dyn. Syst. Appl. , vol.4 , pp. 199-204
    • Shaikhet, L.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.