Work

Computation and analysis on dynamics of a virus-infection-immune model with diffusion and time-delay effects

Year: 2025

Type: article

Abstract: This paper considers a simian immunodeficiency virus-infection-immune model with diffusion and time-delay effects. The stability of equilibria and Hopf bifurcation analysis are carried out, the formulas determining the direction, stability and periodic of Hopf bifurcation are given and the numerical examples are presented to complement the theoretical results. It is found that there are critical values of parameters describing the survival probability of infected cells and time-delay respectively which mainly determine the dynamics of the model. The conclusions show that the survival probability of infected cells, the combination of diffusion and time-delay play important roles on the stability of equilibria, and the change of time-delay will affect the existence of Hopf bifurcation. Biologically, the results imply that either the viruses persist with the host cell in a certain period of time or the viruses disappear gradually and can not infect the host cells anymore.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-025-04040-5

Authors: Xue Chen, Yunfeng Jia

Institutions: Shaanxi Normal University, Changji University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: hybrid

Estimated APC paid: $1,890