Dynamic behaviors of a stochastic virus infection model with Beddington-DeAngelis incidence function, eclipse-stage
Yuncong Liu1, Yan Wang1, Daqing Jiang1
1College of Science, China University of Petroleum (East China), Qingdao, Shandong 266580, China.
Abstract:
In this paper, we present a virus infection model that incorporates eclipse-stage and Beddington-DeAngelis function, along with perturbation in infection rate using logarithmic Ornstein-Uhlenbeck process. Rigorous analysis demonstrates that the stochastic model has a unique global solution. Through construction of appropriate Lyapunov functions and a compact set, combined with the strong law of numbers and Fatou's lemma, we obtain the existence of the stationary distribution under a critical condition, which indicates the long-term persistence of T-cells and virions. Moreover, a precise probability density function is derived around the quasi-equilibrium of the model, and spectral radius analysis is employed to identify critical condition for elimination of the virus. Finally, numerical simulations are presented to validate theoretical results, and the impact of some key parameters such as the speed of reversion, volatility intensity and mean infection rate are investigated.
More Related Videos
12:21A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness
Published on: September 28, 2022
05:49Author Spotlight: Studying Host-Virus Interactions with Pseudotyped Viruses
Published on: November 21, 2023
Related Concept Videos
Steps in Outbreak Investigation
Infection
The chain begins with pathogens: bacteria, viruses, fungi, prions, or parasites such as protozoa helminths. These can be present on the skin as transient or resident flora, or they can be acquired from the environment. Identifying and treating the type of infection and...
Retrovirus Life Cycles
Viral Recombination
Stages of Infection
Mutation, Gene Flow, and Genetic Drift
