Infectious disease model generalization based on diffuse perturbations under conditions of body's temperature reaction

The infectious disease mathematical model is generalized based on the influence of diffuse perturbations on the development of the disease under conditions of the body's temperature reaction. The singularly perturbed model problem was reduced with delay to a sequence of problems without delay, for which the corresponding asymptotic expansions of solutions are obtained. The presented results of computer modeling in various situational states illustrate the expected decrease in the growth rate of the number of viral particles as a result of the action of the body's protective temperature reaction. The results of numerical experiments demonstrate the influence of the diffuse effect of scattering of forcing factors on the dynamics of a viral disease under conditions of the body's temperature reaction are presented too. It is noted that the decrease of the model amount of antigens in the epicenter of infection to a non-critical level caused by diffuse scattering over a relatively short time period makes them further destroyed by immune agents presented in the body, or requires the introduction of an injection solution with a smaller amount of donor antibodies.

Automated summary

This study generalizes the infectious disease mathematical model based on the influence of diffuse perturbations under the body's temperature reaction. It presents asymptotic expansions of solutions for a sequence of problems without delay and demonstrates the expected decrease in the growth rate of viral particles as a result of the body's protective temperature reaction. The study also highlights the influence of diffuse scattering of forcing factors on the dynamics of viral disease.