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Random effects in HIV infection model at Eclipse stage

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  • M., Pitchaimani
  • M., Brasanna Devi

Abstract

In Mathematical biological models, the disease transmission rates play a crucial role by admitting different contexts in the course of disease dynamics. In the present work, an endeavor to understand the HIV dynamics with cure at Eclipse stage of infection with specific non-linear incidence rates have been accomplished. Together with the analysis on stability properties of the solutions at equilibrium points, the aggressive nature of the disease over longer period has been instituted by adopting the Lyapunov technique. The effort taken to perceive the vigorousness of the infection has not been limited to theoretical perspectives but supplemented with numerical evidences. The numerical substantiations widened the spectacular view to settle upon and rely on the presented model with randomness over other modeling approaches.

Suggested Citation

  • M., Pitchaimani & M., Brasanna Devi, 2020. "Random effects in HIV infection model at Eclipse stage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    • Handle: RePEc:eee:phsmap:v:554:y:2020:i:c:s0378437120303368
    DOI: 10.1016/j.physa.2020.124681
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    Cited by:

    1. Pitchaimani, M. & Brasanna Devi, M., 2021. "Stochastic probical strategies in a delay virus infection model to combat COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Prakash, Shivendra & Markfort, Corey D., 2022. "A Monte-Carlo based 3-D ballistics model for guiding bat carcass surveys using environmental and turbine operational data," Ecological Modelling, Elsevier, vol. 470(C).
    3. M, Pitchaimani & M, Brasanna Devi, 2021. "Stochastic dynamical probes in a triple delayed SICR model with general incidence rate and immunization strategies," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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