메뉴 건너뛰기




Volumn 10, Issue 4, 2010, Pages 929-953

Mathematical analysis for an epidemic model with spatial and age structure

Author keywords

Abstract parabolic equations; Epidemics models; Ultraparabolic equations

Indexed keywords


EID: 78650317030     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00028-010-0077-8     Document Type: Article
Times cited : (6)

References (23)
  • 1
    • 51249186677 scopus 로고
    • Dual semigroups and second order linear elliptic boundary value problems
    • Amann H.: Dual semigroups and second order linear elliptic boundary value problems. Isr. J. Math. 45, 225-254 (1983).
    • (1983) Isr. J. Math. , vol.45 , pp. 225-254
    • Amann, H.1
  • 2
    • 53349128723 scopus 로고    scopus 로고
    • Strongly continuous dual semigroups
    • Amann H., Esher J.: Strongly continuous dual semigroups. Ann. Mat. Pura e Appl. IV, 41-62 (1996).
    • (1996) Ann. Mat. Pura E Appl. , vol.IV , pp. 41-62
    • Amann, H.1    Esher, J.2
  • 3
    • 0000272544 scopus 로고
    • Endemic threshold and stability in a class of age-structured epidemics
    • Busenberg S. N., Cooke K., Iannelli M.: Endemic threshold and stability in a class of age-structured epidemics. SIAM J. Appl. Math. 48, 1379-1395 (1988).
    • (1988) SIAM J. Appl. Math. , vol.48 , pp. 1379-1395
    • Busenberg, S.N.1    Cooke, K.2    Iannelli, M.3
  • 4
    • 0000195264 scopus 로고
    • Global behaviour of an age-structured epidemic model
    • Busenberg S. N., Iannelli M., Thieme H. R.: Global behaviour of an age-structured epidemic model. SIAM J. Math. Anal. 4, 1065-1080 (1991).
    • (1991) SIAM J. Math. Anal. , vol.4 , pp. 1065-1080
    • Busenberg, S.N.1    Iannelli, M.2    Thieme, H.R.3
  • 5
    • 0031572067 scopus 로고    scopus 로고
    • Global behaviour in age structured SIS models with seasonal periodicities and vertical transmission
    • Busenberg S. N., Langlais M.: Global behaviour in age structured SIS models with seasonal periodicities and vertical transmission. J. Math. Anal. Appl. 213, 511-533 (1997).
    • (1997) J. Math. Anal. Appl. , vol.213 , pp. 511-533
    • Busenberg, S.N.1    Langlais, M.2
  • 7
    • 0032526441 scopus 로고    scopus 로고
    • Existence and uniqueness of endemic states for the age-structured SIR epidemic model
    • Cha Y., Iannelli M., Milner F. A.: Existence and uniqueness of endemic states for the age-structured SIR epidemic model. Math. Biosc. 150, 177-190 (1998).
    • (1998) Math. Biosc. , vol.150 , pp. 177-190
    • Cha, Y.1    Iannelli, M.2    Milner, F.A.3
  • 9
    • 0000373701 scopus 로고    scopus 로고
    • Sommes d' opérateurs linéaires et équations différentielles opérationelles
    • Da Prato G., and P Grisvard. Sommes d' opérateurs linéaires et équations différentielles opérationelles. J. Math. Pures et Appl. 54: 305-387.
    • J. Math. Pures et Appl , vol.54 , pp. 305-387
    • Da Prato, G.1    Grisvard, P.2
  • 10
    • 79451471224 scopus 로고
    • A problem arising in the mathematical theory of epidemics
    • Academic Press, New York
    • G. Di Blasio. A problem arising in the mathematical theory of epidemics. In Nonlinear Phenomena in Mathematical Sciences. Academic Press, New York, pp. 313-327, 1982.
    • (1982) In Nonlinear Phenomena in Mathematical Sciences , pp. 313-327
    • Di Blasio, G.1
  • 12
    • 34247193621 scopus 로고    scopus 로고
    • Travelling wave solutions for a scalar age-structured equation
    • Ducrot A.: Travelling wave solutions for a scalar age-structured equation. Discret. Cont. Dynam. Syst. B 7, 251-273 (2007).
    • (2007) Discret. Cont. Dynam. Syst. B , vol.7 , pp. 251-273
    • Ducrot, A.1
  • 13
    • 70149097795 scopus 로고    scopus 로고
    • Travelling wave solutions for an infection age-structured model with diffusion
    • Ducrot A., Magal P.: Travelling wave solutions for an infection age-structured model with diffusion. Proc R. Soc Edinburgh-A 139, 2307-2325 (2009).
    • (2009) Proc R. Soc Edinburgh-A , vol.139 , pp. 2307-2325
    • Ducrot, A.1    Magal, P.2
  • 15
    • 27744440076 scopus 로고    scopus 로고
    • Global behaviour of a multi-group SIS epidemic model with age structure
    • Feng Z., Huang W., Castillo-Chavez C.: Global behaviour of a multi-group SIS epidemic model with age structure. J. Diff. Eqs. 218, 292-324 (2005).
    • (2005) J. Diff. Eqs. , vol.218 , pp. 292-324
    • Feng, Z.1    Huang, W.2    Castillo-Chavez, C.3
  • 16
    • 4944259840 scopus 로고
    • Diffusive epidemics models with spatial and age dependent heterogeneity
    • Fitzgibbon W. E., Parrot M. E., Webb G. F.: Diffusive epidemics models with spatial and age dependent heterogeneity. Discret. Contin. Dynam. Syst. 1, 35-57 (1995).
    • (1995) Discret. Contin. Dynam. Syst. , vol.1 , pp. 35-57
    • Fitzgibbon, W.E.1    Parrot, M.E.2    Webb, G.F.3
  • 17
    • 42149107520 scopus 로고    scopus 로고
    • Threshold behaviour of a SIR epidemic model with age structure and immigration
    • Franceschetti A., Pugliese A.: Threshold behaviour of a SIR epidemic model with age structure and immigration. J. Math. Biol. 57, 1-27 (2008).
    • (2008) J. Math. Biol. , vol.57 , pp. 1-27
    • Franceschetti, A.1    Pugliese, A.2
  • 19
    • 33748682320 scopus 로고    scopus 로고
    • Global dynamics of approximate solutions to an age-structured epidemic model with diffusion
    • Kim M. Y.: Global dynamics of approximate solutions to an age-structured epidemic model with diffusion. Adv. Comput. Math. 25, 451-474 (2006).
    • (2006) Adv. Comput. Math. , vol.25 , pp. 451-474
    • Kim, M.Y.1
  • 22
    • 41149151126 scopus 로고    scopus 로고
    • Global well-posedness of a haptotaxis model with spatial and age structure
    • Walker C.: Global well-posedness of a haptotaxis model with spatial and age structure. Diff. Int. Eqs. 20, 1053-1074 (2007).
    • (2007) Diff. Int. Eqs. , vol.20 , pp. 1053-1074
    • Walker, C.1
  • 23
    • 41149109968 scopus 로고
    • In Structured Population Models in Biology and Epidemiology. Lecture Notes in Mathematics, Springer, Berlin, New York, 2008
    • G. F. Webb. Population models structured by age, size and position. In Structured Population Models in Biology and Epidemiology. Lecture Notes in Mathematics, Vol. 1936, Springer, Berlin, New York, pp. 1-49, 2008.
    • (1936) Population models structured by age, size and position , pp. 1-49
    • Webb, G.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.