Geodesic
A Two-dimensional Model for the Transmission of Dengue Fever Disease
Bulletin of the Malaysian Mathematical Society, Tome 24 (2001) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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A transmission model for dengue fever is discussed here. Restricting the dynamics for the constant host and vector populations, the model is reduced to a two-dimensional planar equation. In this model the endemic state is stable if the basic reproductive number of the disease is greater than one. A trapping region containing the heteroclinic orbit connecting the origin (as a saddle point) and the endemic fixed point occurs. By the use of the heteroclinic orbit, we estimate the time needed for an initial condition to reach a certain number of infectives. This estimate is shown to agree with the numerical results computed directly from the dynamics of the populations. 
@article{BMMS_2001_24_1_a5,
     author = {Edy Soewono and Asep K. Supriatna},
     title = {A
                          {Two-dimensional} {Model} for the {Transmission} of {Dengue
}                          {Fever} {Disease}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2001},
     volume = {24},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2001_24_1_a5/}
}
TY  - JOUR
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AU  - Asep K. Supriatna
TI  - A
                          Two-dimensional Model for the Transmission of Dengue
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JO  - Bulletin of the Malaysian Mathematical Society
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VL  - 24
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UR  - http://geodesic.mathdoc.fr/item/BMMS_2001_24_1_a5/
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%0 Journal Article
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%A Asep K. Supriatna
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                          Two-dimensional Model for the Transmission of Dengue
                          Fever Disease
%J Bulletin of the Malaysian Mathematical Society
%D 2001
%V 24
%N 1
%U http://geodesic.mathdoc.fr/item/BMMS_2001_24_1_a5/
%F BMMS_2001_24_1_a5
Edy Soewono; Asep K. Supriatna. A
                          Two-dimensional Model for the Transmission of Dengue
                          Fever Disease. Bulletin of the Malaysian Mathematical Society, Tome 24 (2001) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2001_24_1_a5/