Age-structured Delayed SIPCV Epidemic Model of HPV and Cervical Cancer Cells Dynamics II. Convergence of Numerical Solution

Authors

  • Vitalii V. Akimenko Taras Shevchenko National University of Kyiv, Ukraine
  • Fajar Adi-Kusumo Universitas Gadjah Mada, Yogyakarta, Indonesia

DOI:

https://doi.org/10.55630/j.biomath.2022.03.278

Keywords:

SIPCV epidemic model. Age-structured model. HPV. Numerical epidemiology. Method of characteristics.

Abstract

The numerical method for simulation of age-structured SIPCV epidemic model with age-structured sub-classes of susceptible, infectious, precancerous and cancer cells and unstructured population of human papilloma virus (HPV) dynamics with incubation period is developed. Convergence of the numerical approximations is studied both theoretically and numerically. We prove the stability and second rate of convergence of the approximate solutions to the exact solution of the SIPCV epidemic nonlinear system. The numerical experiments based on the grid refined method confirm and illustrate the second order of accuracy of the obtained numerical method and show the various dynamical regimes of population dynamics. Simulations for model parameters of the system reveal two unstable dynamical regimes of SIPCV population which correspond to the cancer tumor growth and formation of metastases in organism.

Author Biography

Vitalii V. Akimenko, Taras Shevchenko National University of Kyiv, Ukraine

Professor of Institute of Biology and Medicine of Taras Shevchenko National University of Kyiv, Ukraine

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Published

2022-05-11

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Original Articles