A non-Markovian evolution model of HIV population with bunching behaviour



In this paper we propose a model of HIV population through method of phases with non-Markovian evolution of immigration. The analysis leads to an explicit differential equations for the generating functions of the total population size. The detection process of antibodies (against the antigen of virus) is analysed and an explicit expression for the correlation functions are provided. A measure of bunching is also introduced for some particular choice of parameters.

AMS Mathematics Subject Classification


Key word and phrases

Bunching detection process generating functions immigrations methods of phases moments non-Markov evolution stationarity 


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Copyright information

© Korean Society for Computational and Applied Mathematics 1998

Authors and Affiliations

  1. 1.Department of MathematicsAnna UniversityChennaiIndia

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