Dynamical analysis for a stochastic Ebola virus epidemic model with age-structured effect

Yawei Liu; Cui Zou

doi:10.1117/12.3036775

13 July 2024 Dynamical analysis for a stochastic Ebola virus epidemic model with age-structured effect

Yawei Liu, Cui Zou

Proceedings Volume 13208, Third International Conference on Biomedical and Intelligent Systems (IC-BIS 2024); 132081M (2024) https://doi.org/10.1117/12.3036775
Event: 3rd International Conference on Biomedical and Intelligent Systems (IC-BIS 2024), 2024, Nanchang, China

Abstract

For reasons that the cadavers infected with Ebola are contagious and infectivity varies with age, we establish an Ebola virus epidemic model with stochastic perturbation and age structure. First, by constructing a appropriate Lyapunov functions and then applying Ito's formula, the existence and uniqueness of global positive solution of this stochastic model are derived. Moreover, studied the existence of a sole stationary distribution that leads to the threshold R^s₀ , it reflects whether the disease is spreading. If s 0 R  1 , the disease disappears, and when R^s₀ 1, the disease will be prevalent for a long time. In addition, we give some sufficient conditions for disease extinction. At last, numerical simulation verifies the feasibility for the model.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Yawei Liu and Cui Zou "Dynamical analysis for a stochastic Ebola virus epidemic model with age-structured effect", Proc. SPIE 13208, Third International Conference on Biomedical and Intelligent Systems (IC-BIS 2024), 132081M (13 July 2024); https://doi.org/10.1117/12.3036775

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