A Kind of Time-Delayed COVID-19 Dynamical Model with Vaccination
نویسندگان
چکیده
In the paper, we study a kind of time-delayed novel coronavirus pneumonia dynamical model with vaccination. This considers that people are vaccinated, and human immune system has series processes, which need certain time. We first obtain disease-free equilibrium basic reproduction number R0, unique endemic when R0 > 1. Then discuss stability different delays τ. For τ = 0, using Lyapunov function approach, obtained equilibrium, respectively. any delay ≠ Routh-Hurwitz Criteria, is locally asymptotically stable. also find critical value τ0 at condition Hopf bifurcation equilibrium. Finally, suitable choices parameters, some numerical simulations presented in order to verify effectiveness theoretical results.
منابع مشابه
The Dynamical Analysis of a Delayed Prey-Predator Model with a Refuge-Stage Structure Prey Population
A mathematical model describing the dynamics of a delayed stage structure prey - predator system with prey refuge is considered. The existence, uniqueness and bounded- ness of the solution are discussed. All the feasibl e equilibrium points are determined. The stability analysis of them are investigated. By employ ing the time delay as the bifurcation parame...
متن کاملCovid-19 Vaccination and Reactivation of Varicella Zoster Virus
Introduction: After COVID-19 pandemic in 2020 that mostly affects upper respiratory tract, the scientists investigated an effective vaccine against the virus. As the vaccination of general population started some patients were visited with varicella zoster virus activation following the COVID vaccine.
متن کاملA Delayed Epidemic Model with Pulse Vaccination
A delayed SEIRS epidemic model with pulse vaccination and nonlinear incidence rate is proposed. We analyze the dynamical behaviors of this model and point out that there exists an infectionfree periodic solution which is globally attractive if R1 < 1, R2 > 1, and the disease is permanent. Our results indicate that a short period of pulse or a large pulse vaccination rate is the sufficient condi...
متن کاملExplanation of the experiences of reluctance towards vaccination against COVID-19: A qualitative study
Background and Aims: The COVID-19 disease has become a global problem and its prevention through vaccination has led to a reduction in the damage and human casualties at the time of its occurrence. Recognition of the factors that affect the acceptance of vaccination, identification of the barriers, and facilitation of decision-making in the field of vaccination are important aspects of designin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied mathematics
سال: 2022
ISSN: ['2152-7393', '2152-7385']
DOI: https://doi.org/10.4236/am.2022.134025