Work

Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling

Year: 2025

Type: article

Abstract: ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever. In this paper, we find the exact solutions of the corresponding linearized system model by constructing the Cauchy and Green's matrices. Furthermore, we extend our investigation towards estimating the solutions of a closely related nonlinear system. Given that the coefficients of the model are only known approximately, we address the problem of the stability of a system with uncertain coefficients. Furthermore, we estimate the influence of errors in the coefficient determination on solution behavior.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10900

Authors: A. Domoshnitsky, I. Volinsky, S. Biton, V. Steindorf

Institutions: Ariel University, Basque Center for Applied Mathematics

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: hybrid

Estimated APC paid: $5,000

OpenAlex ID: W4408965566

FWCI: 1.653

Cites: 44

Cited by: 2

Related to: 10