A within-host dengue infection model with immune response and nonlinear incidence rate

Hajar Ansari; Mahmoud Hesaaraki

Applicationes Mathematicae (2013)

  • Volume: 40, Issue: 3, page 351-365
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Hajar Ansari, and Mahmoud Hesaaraki. "A within-host dengue infection model with immune response and nonlinear incidence rate." Applicationes Mathematicae 40.3 (2013): 351-365. <http://eudml.org/doc/280005>.

@article{HajarAnsari2013,
abstract = { 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. },
author = {Hajar Ansari, Mahmoud Hesaaraki},
journal = {Applicationes Mathematicae},
keywords = {within-host model; dengue viral infection; basic reproduction ratio; immune response; nonlinear incidence},
language = {eng},
number = {3},
pages = {351-365},
title = {A within-host dengue infection model with immune response and nonlinear incidence rate},
url = {http://eudml.org/doc/280005},
volume = {40},
year = {2013},
}

TY - JOUR
AU - Hajar Ansari
AU - Mahmoud Hesaaraki
TI - A within-host dengue infection model with immune response and nonlinear incidence rate
JO - Applicationes Mathematicae
PY - 2013
VL - 40
IS - 3
SP - 351
EP - 365
AB - 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.
LA - eng
KW - within-host model; dengue viral infection; basic reproduction ratio; immune response; nonlinear incidence
UR - http://eudml.org/doc/280005
ER -

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