M
M. Pitchaimani
Researcher at University of Madras
Publications - 55
Citations - 489
M. Pitchaimani is an academic researcher from University of Madras. The author has contributed to research in topics: Population & Gompertz function. The author has an hindex of 12, co-authored 52 publications receiving 341 citations. Previous affiliations of M. Pitchaimani include Madurai Kamaraj University.
Papers
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Analysis of stability and Hopf bifurcation for HIV-1 dynamics with PI and three intracellular delays
C. Monica,M. Pitchaimani +1 more
TL;DR: In this article, a model for the effects of protease inhibitor on the dynamics of HIV-1 infection model with three delays is proposed and analyzed and some analytical results on the global stability of viral free steady state and infected steady state are obtained.
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Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence
TL;DR: It is exemplified that the proposed stochastic SIRS model reveals a global and positive solution and the sufficient conditions for extinction of the infectious disease are acquired.
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Progressive dynamics of a stochastic epidemic model with logistic growth and saturated treatment
TL;DR: In this article, a stochastic epidemic model with logistic growth and saturated treatment is formulated to probe the effect of white noise on population, and sufficient conditions for extinction of the infectious disease and persistent in the mean of the stochastically autonomous epidemic model are obtained.
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Dynamic threshold probe of stochastic SIR model with saturated incidence rate and saturated treatment function
TL;DR: In this paper, the pervasive environmental variability in a deterministic epidemic model with saturated incidence rate and saturated treatment function is established and investigated, and the proposed stochastic model reveals an exclusive and universal positive solution.
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Global stability analysis of HIV-1 infection model with three time delays
M. Pitchaimani,C. Monica +1 more
TL;DR: In this paper, a mathematical model for the effect of reverse transcriptase inhibitor on the dynamics of HIV-1 infection model with three delays is proposed and analyzed, and the stability of the viral free steady state and the infected steady state of the system is analyzed.