Work

Global Dynamics of a Reaction-diffusion Seivqr Epidemic Model in Almost Periodic Environments

Year: 2025

Type: article

Abstract: We have formulated an almost periodic reaction-diffusion SEIVQR epidemic model that incorporates quarantine, vaccination, and a latent period. In contrast to prior methods that analyze stability by using Lyapunov functions, we establish the global threshold dynamics of this model by using the upper Lyapunov exponent $\lambda^*$. Our results demonstrate that the disease-free almost periodic equilibrium is globally asymptotically stable if $\lambda^*<0$, whereas the disease uniformly persists if $\lambda^*>0$. To further validate our conclusions, we conducted numerical simulations of the model.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240121

Authors: Yifan Xing, Hong-Xu Li

Institutions: Chengdu University of Technology, National Natural Science Foundation of China, Sichuan University

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: diamond

Funder: National Natural Science Foundation of China

Award: G3678819042