Impact of Humoral Immune Response and Absorption Effect on Dynamics of Dengue Virus

  • S.D. Perera Research and Development Center for Mathematical Modeling, Faculty of Science, University of Colombo, Sri Lanka
  • S.S.N. Perera Research and Development Center for Mathematical Modeling, Faculty of Science, University of Colombo, Sri Lanka

Abstract

Dengue infection represents a global threat causing 50-100 million infections per year and placing half of the world’s population at risk. Even though how infection is controlled and cured rather remains a mystery, antibodies are thought to play a major role in clearing the virus. In this paper, we study the dynamics of dengue virus with humoral immune response and absorption effect. The proposed model incorporates a time delay in production of antibodies. The basic reproduction number R0 is computed and a detailed stability analysis is done. It was found that the model has 3 steady states, namely, infection free equilibrium, no immune equilibrium and the endemic equilibrium. Conditions for R0 were developed for the local stability of these 3 equilibrium states. The global stability was studied using appropriate Lyapunov function and LaSalle’s invariance principle. We then established a condition for which the endemic equilibrium point is globally asymptotically stable. Also it was observed that the virus count goes to negligible levels within 7-14 days after the onset of symptoms.

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Published
2017-04-30
How to Cite
Perera, S., & Perera, S. (2017). Impact of Humoral Immune Response and Absorption Effect on Dynamics of Dengue Virus. European Scientific Journal, ESJ, 13(12), 157. https://doi.org/10.19044/esj.2017.v13n12p157