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Volumn 10, Issue 4, 2009, Pages 2026-2035

A stabilization strategy for a reaction-diffusion system modelling a class of spatially structured epidemic systems (think globally, act locally)

Author keywords

Epidemic systems; Feedback control; Man environment epidemics; Principal eigenvalue; Reaction diffusion systems; Stabilization

Indexed keywords

DIFFUSION IN LIQUIDS; DYNAMIC MODELS; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK; FEEDBACK CONTROL; POLLUTION; STABILIZATION;

EID: 61749097115     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.03.009     Document Type: Article
Times cited : (34)

References (17)
  • 1
    • 14644440606 scopus 로고    scopus 로고
    • Internal stabilizability for a reaction-diffusion problem modeling a predator prey system
    • Ainseba B., and Aniţa S. Internal stabilizability for a reaction-diffusion problem modeling a predator prey system. Nonlinear Anal. TMA 61 (2005) 491-501
    • (2005) Nonlinear Anal. TMA , vol.61 , pp. 491-501
    • Ainseba, B.1    Aniţa, S.2
  • 2
    • 13644281091 scopus 로고    scopus 로고
    • Note on the stabilization of a reaction-diffusion model in epidemiology
    • Aniţa L.-I., and Aniţa S. Note on the stabilization of a reaction-diffusion model in epidemiology. Nonlinear Anal. RWA 6 (2005) 537-544
    • (2005) Nonlinear Anal. RWA , vol.6 , pp. 537-544
    • Aniţa, L.-I.1    Aniţa, S.2
  • 4
    • 0036887568 scopus 로고    scopus 로고
    • A stabilizability problem for a reaction-diffusion system modelling a class of spatially structured epidemic model
    • Aniţa S., and Capasso V. A stabilizability problem for a reaction-diffusion system modelling a class of spatially structured epidemic model. Nonlinear Anal. RWA 3 (2002) 453-464
    • (2002) Nonlinear Anal. RWA , vol.3 , pp. 453-464
    • Aniţa, S.1    Capasso, V.2
  • 6
    • 33846239348 scopus 로고    scopus 로고
    • Nonlocal initial problems for coupled reaction-diffusion systems and their applications
    • Babak P. Nonlocal initial problems for coupled reaction-diffusion systems and their applications. Nonlinear Anal. RWA 8 3 (2007) 980-996
    • (2007) Nonlinear Anal. RWA , vol.8 , Issue.3 , pp. 980-996
    • Babak, P.1
  • 7
    • 33846940924 scopus 로고    scopus 로고
    • Nonlocal problems involving spatial structure for coupled reaction-diffusion systems
    • Babak P. Nonlocal problems involving spatial structure for coupled reaction-diffusion systems. Appl. Math. Comput. 185 1 (2007) 449-463
    • (2007) Appl. Math. Comput. , vol.185 , Issue.1 , pp. 449-463
    • Babak, P.1
  • 8
    • 0010647130 scopus 로고
    • Global solution for a diffusive nonlinear deterministic epidemic model
    • Capasso V. Global solution for a diffusive nonlinear deterministic epidemic model. SIAM J. Appl. Math. 35 (1978) 274-284
    • (1978) SIAM J. Appl. Math. , vol.35 , pp. 274-284
    • Capasso, V.1
  • 9
    • 0021504004 scopus 로고
    • Asymptotic stability for an integro-differential reaction-diffusion system
    • Capasso V. Asymptotic stability for an integro-differential reaction-diffusion system. J. Math. Anal. Appl. 103 (1984) 575-588
    • (1984) J. Math. Anal. Appl. , vol.103 , pp. 575-588
    • Capasso, V.1
  • 10
    • 0003667965 scopus 로고
    • Springer-Verlag, Heidelberg
    • Capasso V. Mathematical Structures of Epidemic Systems. Lecture Notes Biomath. vol. 97 (1993), Springer-Verlag, Heidelberg
    • (1993) Lecture Notes Biomath. , vol.97
    • Capasso, V.1
  • 11
    • 0345009973 scopus 로고
    • Saddle point behaviour for a reaction-diffusion system: Application to a class of epidemic models
    • Capasso V., and Maddalena L. Saddle point behaviour for a reaction-diffusion system: Application to a class of epidemic models. Math. Comput. Simulation 24 (1992) 540-547
    • (1992) Math. Comput. Simulation , vol.24 , pp. 540-547
    • Capasso, V.1    Maddalena, L.2
  • 12
    • 0031117716 scopus 로고    scopus 로고
    • Analysis of a reaction-diffusion system modelling man-environment-man epidemics
    • Capasso V., and Wilson R.E. Analysis of a reaction-diffusion system modelling man-environment-man epidemics. SIAM J. Appl. Math. 57 (1997) 327-346
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 327-346
    • Capasso, V.1    Wilson, R.E.2
  • 15
    • 84980168099 scopus 로고
    • The transmission dynamics of schistosomiasis
    • Nåsell L., and Hirsch W.M. The transmission dynamics of schistosomiasis. Comm. Pure Appl. Math. 26 (1973) 395-453
    • (1973) Comm. Pure Appl. Math. , vol.26 , pp. 395-453
    • Nåsell, L.1    Hirsch, W.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.