메뉴 건너뛰기




Volumn 17, Issue 7, 2012, Pages 2615-2634

A vector-bias malaria model with incubation period and diffusion

Author keywords

Basic reproduction ratio; Global dynamics; Malaria transmission; Reaction diffusion

Indexed keywords


EID: 84863910209     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2012.17.2615     Document Type: Article
Times cited : (46)

References (19)
  • 1
    • 79952575552 scopus 로고    scopus 로고
    • Analysis of a vector-bias model on malaria transmisson
    • F. Chamchod and N. F. Britton, Analysis of a vector-bias model on malaria transmisson, Bull. Math. Biol., 73 (2011), 639-657.
    • (2011) Bull. Math. Biol. , vol.73 , pp. 639-657
    • Chamchod, F.1    Britton, N.F.2
  • 2
    • 33746273418 scopus 로고    scopus 로고
    • Mapping the global extent of malaria in 2005
    • DOI 10.1016/j.pt.2006.06.006, PII S1471492206001504
    • C. A. Guerra, R. W. Snow and S. I. Hay, Mapping the global extent of malaria in 2005, Trends Parasitol, 22 (2006), 353-358. (Pubitemid 44108760)
    • (2006) Trends in Parasitology , vol.22 , Issue.8 , pp. 353-358
    • Guerra, C.A.1    Snow, R.W.2    Hay, S.I.3
  • 3
    • 0003324723 scopus 로고
    • Introduction to functional differential equations
    • Springer-Verlag, New York
    • J. K. Hale and S. M. Verduyn Lunel, "Introduction to Functional Differential Equations," Appl. Math. Sci., Vol. 99, Springer-Verlag, New York, 1993.
    • (1993) Appl. Math. Sci. , vol.99
    • Hale, J.K.1    Verduyn Lunel, S.M.2
  • 4
    • 0000864360 scopus 로고
    • Mosquito host choice and the epidemiology of malaria
    • J. G. Kingsolver, Mosquito host choice and the epidemiology of malaria, Am. Nat., 130 (1987), 811-827.
    • (1987) Am. Nat. , vol.130 , pp. 811-827
    • Kingsolver, J.G.1
  • 5
    • 24944548688 scopus 로고    scopus 로고
    • Malaria infection increases attractiveness of humans to mosquitoes
    • DOI 10.1371/journal.pbio.0030298, e298
    • R. Lacroix, W. R. Mukabana, L. C. Gouagna and J. C. Koella, Malaria infection increases attractiveness of humans to mosquitoes, PLOS Biol., 3 (2005), 1590-1593. (Pubitemid 41306442)
    • (2005) PLoS Biology , vol.3 , Issue.9 , pp. 1590-1593
    • Lacroix, R.1    Mukabana, W.R.2    Gouagna, L.C.3    Koella, J.C.4
  • 6
    • 79952575808 scopus 로고    scopus 로고
    • A reaction-diffusion malaria model with incubation period in the vector population
    • Y. Lou and X.-Q. Zhao, A reaction-diffusion malaria model with incubation period in the vector population, J. Math. Biol., 62 (2011), 543-568.
    • (2011) J. Math. Biol. , vol.62 , pp. 543-568
    • Lou, Y.1    Zhao, X.-Q.2
  • 7
    • 33144473617 scopus 로고    scopus 로고
    • Global attractors and steady states for uniformly persistent dynamical systems
    • DOI 10.1137/S0036141003439173
    • P. Magal and X.-Q. Zhao, Global attractors and steady states for uniformly persistent dy-namical systems, SIAM J. Math. Anal., 37 (2005), 251-275. (Pubitemid 43265736)
    • (2006) SIAM Journal on Mathematical Analysis , vol.37 , Issue.1 , pp. 251-275
    • Magal, P.1    Zhao, X.-Q.2
  • 8
    • 84966246501 scopus 로고
    • Abstract functional differential equations and reaction-diffusion systems
    • R. H. Martin and H. L. Smith, Abstract functional differential equations and reaction-diffusion systems, Trans. Amer. Math. Soc., 321 (1990), 1-44.
    • (1990) Trans. Amer. Math. Soc. , vol.321 , pp. 1-44
    • Martin, R.H.1    Smith, H.L.2
  • 9
    • 0000703838 scopus 로고
    • Asymptotically autonomous semiows: Chain recurrence and Lyapunov functions
    • K. Mischaikow, H. L. Smith and H. R. Thieme, Asymptotically autonomous semiows: Chain recurrence and Lyapunov functions, Trans. Amer. Math. Soc., 347 (1995), 1669-1685.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 1669-1685
    • Mischaikow, K.1    Smith, H.L.2    Thieme, H.R.3
  • 10
    • 0003270907 scopus 로고
    • Monotone dynamical systems. An introduction to the theory of competitive and cooperative systems
    • Amer. Math. Soc., Providence, RI
    • H. L Smith, "Monotone Dynamical Systems. An Introduction to the Theory of Competitive and Cooperative Systems," Mathematical Surveys and Monographs, Vol. 41, Amer. Math. Soc., Providence, RI, 1995.
    • (1995) Mathematical Surveys and Monographs , vol.41
    • Smith, H.L.1
  • 12
    • 15044338866 scopus 로고    scopus 로고
    • The global distribution of clinical episodes of Plasmodium falciparum malaria
    • DOI 10.1038/nature03342
    • R. W. Snow, C. A. Guerra, A. M. Noor, H. Y. Myint and S. I. Hay, The global distribution of clinical episodes of Plasmodium falciparum malaria, Nature, 434 (2005), 214-217. (Pubitemid 40388051)
    • (2005) Nature , vol.434 , Issue.7030 , pp. 214-217
    • Snow, R.W.1    Guerra, C.A.2    Noor, A.M.3    Myint, H.Y.4    Hay, S.I.5
  • 13
    • 77952672921 scopus 로고
    • Convergence results and a Poincarè-Bendixson trichotomy for asymptotically autonomous differential equations
    • H. R. Thieme, Convergence results and a Poincarè-Bendixson trichotomy for asymptotically autonomous differential equations, J. Math. Biol., 30 (1992), 755-763.
    • (1992) J. Math. Biol. , vol.30 , pp. 755-763
    • Thieme, H.R.1
  • 14
    • 67649378819 scopus 로고    scopus 로고
    • Spectral bound and reproduction number for infinite-dimensional population structure and time heterogeneity
    • H. R. Thieme, Spectral bound and reproduction number for infinite-dimensional population structure and time heterogeneity, SIAM J. Appl. Math., 70 (2009), 188-211.
    • (2009) SIAM J. Appl. Math. , vol.70 , pp. 188-211
    • Thieme, H.R.1
  • 15
    • 0035373461 scopus 로고    scopus 로고
    • A non-local delayed and diffusive predator-prey model
    • DOI 10.1016/S0362-546X(00)00112-7, PII S0362546X00001127
    • H. R. Thieme and X.-Q. Zhao, A non-local delayed and diffusive predator-prey model, Non-linear Analysis: Real World Application, 2 (2001), 145-160. (Pubitemid 33379466)
    • (2001) Nonlinear Analysis: Real World Applications , vol.2 , Issue.2 , pp. 145-160
    • Thieme, H.R.1    Zhao, X.-Q.2
  • 16
    • 79952343940 scopus 로고    scopus 로고
    • A nonlocal and time-delayed reaction-diffusion model of dengue transmission
    • W. Wang and X.-Q. Zhao, A nonlocal and time-delayed reaction-diffusion model of dengue transmission, SIAM J. Appl. Math., 71 (2011), 147-168.
    • (2011) SIAM J. Appl. Math. , vol.71 , pp. 147-168
    • Wang, W.1    Zhao, X.-Q.2
  • 17
    • 0003345730 scopus 로고    scopus 로고
    • Theory and applications of partial functional differential equations
    • Springer-Verlag, New York
    • J.Wu, "Theory and Applications of Partial Functional Differential Equations," Applied Math-ematical Sciences, 119, Springer-Verlag, New York, 1996.
    • (1996) Applied Math-ematical Sciences , vol.119
    • Wu, J.1
  • 19
    • 0013174737 scopus 로고    scopus 로고
    • Global asymptotic behavior in some cooperative systems of func-tional differential equations
    • X.-Q. Zhao and Z.-J. Jing, Global asymptotic behavior in some cooperative systems of func-tional differential equations, Canadian Appl. Math. Quarterly, 4 (1996), 421-444.
    • (1996) Canadian Appl. Math. Quarterly , vol.4 , pp. 421-444
    • Zhao, X.-Q.1    Jing, Z.-J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.