A With-In Host Dengue Infection Model with Immune Response and Beddington-DeAngelis Incidence Rate

Hajar Ansari, Mahmoud Hesaaraki

Department of Mathematics, Sharif University of Technology, Tehran, Iran.

DOI: 10.4236/am.2012.32028                

Abstract

A model of viral infection of monocytes population by dengue virus is formulated in a system of four ordinary differenttial equations. The model takes into account the immune response and the incidence rate of susceptible and free virus particle as Beddington-DeAngelis functional response. By constructing a block, the global stability of the unin-fected steady state is investigated. This steady state always exists. If this is the only steady state, then it is globally asymptotically stable. If any infected steady state exists, then 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 the other parameters.

Keywords

With-In Host Model; Dengue Viral Infection; Basic Reproduction Ratio; Beddington-DeAngelis Immune Response

Conflicts of Interest

The authors declare no conflicts of interest.

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