메뉴 건너뛰기




Volumn 57, Issue 2, 1997, Pages 327-346

Analysis of a reaction-diffusion system modeling man-environment-man epidemics

Author keywords

Epidemiology; Qualitative properties of solutions; Reaction diffusion systems

Indexed keywords

BACTERIA; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; COMPUTER SIMULATION; DIFFUSION; DISEASES; EPIDEMIOLOGY; FUNCTIONS; MATHEMATICAL MODELS;

EID: 0031117716     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036139995284681     Document Type: Article
Times cited : (106)

References (17)
  • 2
    • 0003318955 scopus 로고
    • Mathematical Structures of Epidemic Systems
    • Springer-Verlag, Heidelberg
    • V. CAPASSO, Mathematical Structures of Epidemic Systems, Lecture Notes in Biomath. 97, Springer-Verlag, Heidelberg, 1993.
    • (1993) Lecture Notes in Biomath. , vol.97
    • Capasso, V.1
  • 3
    • 0001295415 scopus 로고
    • A reaction-diffusion system arising in modelling man-environment diseases
    • V. CAPASSO AND K. KUNISCH, A reaction-diffusion system arising in modelling man-environment diseases, Quart. Appl. Math., 46 (1988), pp. 431-450.
    • (1988) Quart. Appl. Math. , vol.46 , pp. 431-450
    • Capasso, V.1    Kunisch, K.2
  • 4
    • 0019807845 scopus 로고
    • Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases
    • V. CAPASSO AND L. MADDALENA, Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases, J. Math. Biol., 13 (1981), pp. 173-184.
    • (1981) J. Math. Biol. , vol.13 , pp. 173-184
    • Capasso, V.1    Maddalena, L.2
  • 5
    • 0345009973 scopus 로고
    • Saddle point behaviour for a reaction-diffusion system: Application to a class of epidemic models
    • V. CAPASSO AND L. MADDALENA, Saddle point behaviour for a reaction-diffusion system: Application to a class of epidemic models. Math. Comput. Simulation, 24 (1982), pp. 540-547.
    • (1982) Math. Comput. Simulation , vol.24 , pp. 540-547
    • Capasso, V.1    Maddalena, L.2
  • 6
    • 0018704517 scopus 로고
    • A mathematical model for the 1973 cholera epidemic in the European Mediterranean region
    • V. CAPASSO AND S. L. PAVERI-FONTANA, A mathematical model for the 1973 cholera epidemic in the European Mediterranean region, Revue d'Epidemiologie et de Santé Publique, 27 (1979), pp. 121-132.
    • (1979) Revue d'Epidemiologie et de Santé Publique , vol.27 , pp. 121-132
    • Capasso, V.1    Paveri-Fontana, S.L.2
  • 9
    • 0001751654 scopus 로고
    • On the existence of positive solutions of semilinear elliptic equations
    • P. L. LIONS, On the existence of positive solutions of semilinear elliptic equations, SIAM Rev., 24 (1982) pp. 441-467.
    • (1982) SIAM Rev. , vol.24 , pp. 441-467
    • Lions, P.L.1
  • 10
    • 38249038079 scopus 로고
    • Equilibrium solutions of a semilinear reaction-diffusion system
    • E. MIRENGHI, Equilibrium solutions of a semilinear reaction-diffusion system, Nonlinear Anal., 11 (1987), pp. 393-405.
    • (1987) Nonlinear Anal. , vol.11 , pp. 393-405
    • Mirenghi, E.1
  • 11
    • 84980168099 scopus 로고
    • The transmission dynamics of schistosomiasis
    • I. NASELL AND W. M. HIRSCH, The transmission dynamics of schistosomiasis, Comm. Pure Appl. Math., 26 (1973), pp. 395-453.
    • (1973) Comm. Pure Appl. Math. , vol.26 , pp. 395-453
    • Nasell, I.1    Hirsch, W.M.2
  • 12
    • 85009592686 scopus 로고
    • Asymptotic behaviour and stability of solutions of semilinear diffusion equations
    • H. MATANO, Asymptotic behaviour and stability of solutions of semilinear diffusion equations, Publ. Res. Inst. Math. Sci., 15 (1979), pp. 401-454.
    • (1979) Publ. Res. Inst. Math. Sci. , vol.15 , pp. 401-454
    • Matano, H.1
  • 16
    • 0000093987 scopus 로고
    • Global bifurcation of steady state solutions
    • J. SMOLLER AND A. WASSERMAN, Global bifurcation of steady state solutions, J. Differential Equations, 39 (1981), pp. 269-290.
    • (1981) J. Differential Equations , vol.39 , pp. 269-290
    • Smoller, J.1    Wasserman, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.