A two-dimensional discrete delay-differential system model of viremia
Publication Title
Mathematical Biosciences and Engineering
Document Type
Article
Publication Date
8-4-2022
Keywords
california; sjo; eureka; delay-differential equations; viral infection dynamics; transcendental polynomial
Abstract
A deterministic model is proposed to describe the interaction between an immune system and an invading virus whose target cells circulate in the blood. The model is a system of two ordinary first order quadratic delay-differential equations with stipulated initial conditions, whose coefficients are eventually constant, so that the system becomes autonomous. The long-term behavior of the solution is investigated with some success. In particular, we find two simple functions of the parameters of the model, whose signs often, but not always, determine whether the virus persists above a nonzero threshold in the circulation or heads toward extinction.
Specialty/Research Institute
Infectious Diseases
Specialty/Research Institute
Family Medicine
