References
- http://www.who.int/malaria/wmr2008/
- Martens , WJM . 1998 . Health impacts of climate change and ozone depletion: An eco-epidemiological modelling approach . Environ. Health Perspect. , 106 : 241 – 251 .
- Reiter , P . 2001 . Climate change and mosquito-borne disease . Environ. Health Perspect. , 109 : 141 – 161 .
- Zhou , G , Minakawa , N , Githeko , AK and Yan , G . 2004 . Association between climate variability and malaria epidemics in the east African highlands . Proc. Natl Acad. Sci. USA , 101 : 2375 – 2380 .
- Schlagenhauf , P . 2004 . Malaria: From prehistory to present . Infect. Dis. Clin. N. Amer. , 18 : 189 – 205 .
- Tatem , AJ , Hay , SI and Rogers , DJ . 2006 . Global traffic and disease vector dispersal . Proc. Natl. Acad. Sci. USA , 103 : 6242 – 6247 .
- Smith , DL , Dushoff , J and McKenzie , FE . 2004 . The risk of a mosquito-borne infection in a heterogeneous environment . PLOS Biol. , 2 : 1957 – 1964 .
- Aron , JL and May , RM . 1982 . “ The population dynamics of malaria ” . In The Population Dynamics of Infectious Diseases: The Theory and Applications , Edited by: Anderson , RM . 139 – 179 . London : Chapman and Hall .
- Auger , P , Kouokam , E , Sallet , G , Tchuente , M and Tsanou , Berge . 2008 . The Ross–Macdonald model in a patchy environment . Math. Biosci. , 216 : 123 – 131 .
- Li , J . 2008 . A malaria model with partial immunity in humans . Math. Biosci. Eng. , 5 : 789 – 801 .
- Ruan , S , Xiao , D and Beier , JC . 2008 . On the delayed Ross–Macdonald model for malaria transmission . Bull. Math. Biol. , 70 : 1098 – 1114 .
- Hoshen , MB and Morse , AP . 2004 . A weather-driven model of malaria transmission . Malaria J. , 3 : 32 – 45 .
- Lewis , M , Rendawowicz , J and Van Den Driessche , P . 2006 . Traveling waves and spread rates for a West Nile virus model . Bull. Math. Biol , 68 : 3 – 23 .
- Martens , P and Hall , L . 2002 . Malaria on the move: Human population movement and malaria transmission . Emerg. Infect. Dis. , 6 : 103 – 109 .
- Smith , HL . 1995 . Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems . Mathematical Surveys and Monographs, , 41 American Mathematical Society, Providence, RI
- Wang , W and Zhao , X-Q . 2008 . Threshold dynamics for compartmental epidemic models in periodic environments . J. Dyn. Differ. Equ. , 20 : 699 – 717 .
- Zhao , X-Q . 2003 . Dynamical Systems in Population Biology , New York : Springer-Verlag .
- Liang , X , Yi , Y and Zhao , X-Q . 2006 . Spreading speeds and traveling waves for periodic evolution systems . J. Diff. Eqns. , 231 : 57 – 77 .
- Liang , X and Zhao , X-Q . 2007 . Asymptotic speeds of spread and traveling waves for monotone semiflows with applications . Commun. Pure Appl. Math. , 60 : 1 – 40 .
- Martin , RH and Smith , HL . 1990 . Abstract functional differential equations and reaction–diffusion systems . Trans. Amer. Math. Soc. , 321 : 1 – 44 .
- Martin , RH . 1976 . Nonlinear Operators and Differential Equations in Banach Spaces , New York : Wiley-Interscience .
- Volpert , Aizik I , Volpert , Vitaly A and Volpert , Vladimir A . 1994 . Traveling Wave Solutions of Parabolic Systems . Translations of Mathematical Monographs, , 140 American Mathematical Society, Providence, RI
- Weinberger , HF . 1982 . Long-time behavior of a class of biological models . SIAM J. Math. Anal. , 13 : 353 – 396 .
- Hess , P . 1991 . “ Periodic-Parabolic Boundary Value Problems and Positivity ” . In Pitman Search Notes in Mathematics Series , Vol. 247 , Harlow, , UK : Longman Scientific Technical .
- Zhang , F and Zhao , X-Q . 2007 . A periodic epidemic model in a patchy environment . J. Math. Anal. Appl. , 325 : 496 – 516 .
- Henry , D . 1981 . “ Geometric Theory of Semilinear Parabolic Equations ” . In Lecture Notes in Mathematics , Vol. 840 , Berlin : Springer-Verlag .
- Zhao , X-Q . 1996 . Global attractivity and stability in some monotone discrete dynamical systems . Bull. Aust. Math. Soc. , 53 : 305 – 324 .
- Lou , Y and Zhao , X-Q . A climate-based malaria transmission model with age-structure , SIAM J Appl. Math (under review)
- Gourley , SA , Liu , R and Wu , J . 2007 . Some vector borne diseases with structured host populations: Extinction and spatial spread . SIAM J. Appl. Math. , 67 : 408 – 433 .