Geodesic
A within-host dengue infection model with immune response and nonlinear incidence rate
Hajar Ansari 1   ; Mahmoud Hesaaraki 1
1 Department of Mathematics Sharif University of Technology P.O. Box 11155-9415, Tehran, Iran
Applicationes Mathematicae, Tome 40 (2013) no. 3, pp. 351-365 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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A model of viral infection of monocytes population by the dengue virus is formulated as a system of four ordinary differential equations. The model takes into account the immune response and nonlinear incidence rate of susceptible and free virus particles. Global stability of the uninfected steady state is investigated. Such a steady state always exists. If it is the only steady state, then it is globally asymptotically stable. If any infected steady state exists, then the uninfected steady state is unstable and one of the infected steady states is locally asymptotically stable. These different cases depend on the values of the basic reproduction ratio and other parameters.
DOI : 10.4064/am40-3-6
Keywords: model viral infection monocytes population dengue virus formulated system ordinary differential equations model takes account immune response nonlinear incidence rate susceptible virus particles global stability uninfected steady state investigated steady state always exists only steady state globally asymptotically stable infected steady state exists uninfected steady state unstable infected steady states locally asymptotically stable these different cases depend values basic reproduction ratio other parameters

Hajar Ansari  1   ; Mahmoud Hesaaraki  1

1 Department of Mathematics Sharif University of Technology P.O. Box 11155-9415, Tehran, Iran 
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Hajar Ansari; Mahmoud Hesaaraki. A within-host dengue infection model with immune response and nonlinear incidence rate. Applicationes Mathematicae, Tome 40 (2013) no. 3, pp. 351-365. doi: 10.4064/am40-3-6

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