| Autor: |
Baranovsky, S. V., Bomba, A. Ya. |
| Předmět: |
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| Zdroj: |
Journal of Mathematical Sciences; Jul2024, Vol. 282 Issue 5, p870-884, 15p |
| Abstrakt: |
We propose a modified general model of mixed infection that takes into account the influence of diffusion perturbations and interactions between antigens on the development of the disease. To find the solution of the original model problem with delay, we develop a special step-by-step procedure for the numerical asymptotic approximation of the solution to the corresponding sequence of singularly perturbed problems without delay. The results of computer simulations illustrate the expected exacerbation of the main chronic disease in the case of additional infection of the body by another (more intense) viral infection. It is shown that the process of diffusion "scattering" of antigens leads to a model decrease in their concentration in the infected area and, hence, to a decrease in the total "acuteness" of the biinfection. It is also shown that the effect of diffusion "scattering" leads to a decrease in the range of model values of the concentration of antigens of chronic disease observed when the rate of damage to the cells of the target organ by antigens of the additional viral infection varies within a specified range. This is important for the efficient prediction of the dynamics of disease in specialized decision-making systems and for the formation of appropriate individual treatment programs in the cases where additional complications are caused by the penetration of additional viral infections into the body. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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