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A population model of infected T-4 cells in aids

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Abstract

A population model of infected T-4 cell is modeled as a point process using method of phases with special types of time-dependencies. The duration of these phases are themselves independent and exponentially distributed random variables. The analysis leads to an explicit differential equations for the generating functions of the infected T-4 cells from which the first and second order moments are calculated. Graphs are drawn for the expected number of infected T-4 cells. Finally interpretation of results are given. The detection process is explicitly introduced and its characteristics are obtained. Also for different parametric values the stationarity distribution are tabulated.

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Author information

Correspondence to V. Sridharan.

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Sridharan, V., Jayashree, P.R. A population model of infected T-4 cells in aids. Korean J. Comput. & Appl. Math. 6, 99–110 (1999). https://doi.org/10.1007/BF02941910

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AMS Mathematics Subject Classification

  • 60G55

Key word and phrases

  • Detection process
  • generating functions
  • immigrations
  • infected T-4 cells
  • lysis
  • method of phases
  • moments