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

Volume 40 / 2013

Hajar Ansari, Mahmoud Hesaaraki Applicationes Mathematicae 40 (2013), 351-365 MSC: Primary 34D; Secondary 92B. DOI: 10.4064/am40-3-6

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.

Authors

  • Hajar AnsariDepartment of Mathematics
    Sharif University of Technology
    P.O. Box 11155-9415, Tehran, Iran
    e-mail
  • Mahmoud HesaarakiDepartment of Mathematics
    Sharif University of Technology
    P.O. Box 11155-9415, Tehran, Iran
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image