|
[1]
|
Centers for Disease Control and Prevention. http://www.cdc.gov/dengue/
|
|
[2]
|
Derouich, M. and Boutayeb, A. (2006) Dengue Fever: Mathematical Modelling and Computer Simulation. Applied Mathematics and Computation, 177, 528-544. [Google Scholar] [CrossRef]
|
|
[3]
|
Esteva, L. and Vargas, C. (2003) Coexistence of Different Serotypes of Dengue Virus. Journal of Mathematical Biology, 46, 31-47. [Google Scholar] [CrossRef] [PubMed]
|
|
[4]
|
Jousset, F.X. (1981) Geographic Aedes aegypti Strains and Dengue-2 Virus: Susceptibility, Ability to Transmit to Vertebrate and Transovarial Transmission. Annales de l’Institut Pasteur/Virologie, 132, 357-370. [Google Scholar] [CrossRef]
|
|
[5]
|
Aldila, D., Gotz, T. and Soewono, E. (2013) An Optimal Control Problem Arising from a Dengue Disease Transmission Model. Mathematical Biosciences, 242, 9-16. [Google Scholar] [CrossRef] [PubMed]
|
|
[6]
|
Kooi, B.W., Aguiar, M. and Stollenwerk, N. (2014) Analysis of an Asymmetric Two-Strain Dengue Model. Mathematical Biosciences, 248, 128-139. [Google Scholar] [CrossRef] [PubMed]
|
|
[7]
|
Coutinhoa, F.A.B., Burattinia, M.N., Lopeza, L.F., et al. (2006) Threshold Conditions for a Non-Autonomous Epidemic System Describing the Population Dynamics of Dengue. Bulletin of Mathematical Biology, 68, 2263-2282. [Google Scholar] [CrossRef] [PubMed]
|
|
[8]
|
Esteva, L. and Vargas, C. (1998) Analysis of a Dengue Disease Transmission Model. Mathematical Biosciences, 150, 131-151. [Google Scholar] [CrossRef]
|
|
[9]
|
Wang, W. and Zhao, X.Q. (2011) A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission. SIAM Journal on Applied Mathematics, 71, 147-168. [Google Scholar] [CrossRef]
|
|
[10]
|
Garba, S.M., Gumel, A.B. and Abu Bakar, M.R. (2008) Backward Bifurcations in Dengue Transmission Dynamics. Mathematical Biosciences, 215, 11-25. [Google Scholar] [CrossRef] [PubMed]
|
|
[11]
|
Mishra, A. and Gakkhar, S. (2014) The Effects of Awareness and Vector Control on Two Strains Dengue Dynamics. Applied Mathematics and Computation, 246, 159-167. [Google Scholar] [CrossRef]
|
|
[12]
|
Yang, H.M. and Ferreira, C.P. (2008) Assessing the Effects of Vector Control on Dengue Transmission. Applied Mathematics and Computation, 198, 401-413. [Google Scholar] [CrossRef]
|
|
[13]
|
Wang, Z. and Zhao, X. (2012) Global Dynamics of a Time-Delayed Dengue Transmission Model. Canadian Applied Mathematics Quarterly, 20, 89-113.
|
|
[14]
|
Ruan, S., Xiao, D. and Beier, J.C. (2008) On the Delayed Ross-Macdonald Model for Malaria Transmission. Bulletin of Mathematical Biology, 70, 1098-1114. [Google Scholar] [CrossRef] [PubMed]
|
|
[15]
|
Bayoh, M.N. and Lindsay, S.W. (2003) Effect of Temperature on the Development of the Aquatic Stages of Anopheles gambiae Sensu Stricto (Diptera: Culicidae). Bulletin of Entomological Research, 93, 375-381.
|
|
[16]
|
Shaman, J., Spiegelman, M., Cane, M., et al. (2006) A Hydrologically Driven Model of Swamp Water Mosquito Population Dynamics. Ecological Modelling, 194, 395-404. [Google Scholar] [CrossRef]
|
|
[17]
|
Cooke, K., Driessche, V.P. and Zou, X. (1999) Interaction of Maturation Delay and Nonlinear Birth in Population and Epidemic Models. Journal of Mathematical Biology, 39, 332-352. [Google Scholar] [CrossRef] [PubMed]
|
|
[18]
|
Velasco-Hernandez, J.X. (1994) A Model for Chagas Disease Involving Transmission by Vectors and Blood Transfusion. Theoretical Population Biology, 46, 1-31. [Google Scholar] [CrossRef] [PubMed]
|
|
[19]
|
Smith, H. (1995) Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems. In: Mathematical Surveys and Monographs, Vol. 41, American Mathematical Society, Providence, 174 p.
|
|
[20]
|
Cooke, K.L. and Van, D.P. (1996) Analysis of an SEIRS Epidemic Model with Two Delays. Journal of Mathematical Biology, 35, 240-260. [Google Scholar] [CrossRef] [PubMed]
|
|
[21]
|
Van, D.P. and Watough, J. (2002) Reproduction Numbers and Sub-Threshold Endemic Equilibria for Compartmental Models of Disease Transmission. Mathematical Biosciences, 180, 29-48.
|
|
[22]
|
Elsgolts, L. and Norkin, S. (1973) An Introduction to the Theory and Application of Differential Equations with Deviating Argument. Academic Press, New York.
|