Analysis of an SEIR Epidemic Model with a General Feedback Vaccination Law
نویسندگان
چکیده
This paper discusses and formulates a continuoustime SEIR -type epidemic model of pseudo-mass action type with finitely distributed delays under a very general, and in general time-varying, vaccination control rule which eventually generates feedback actions on the susceptible, infectious and recovered subpopulations. A lot of particular vaccination laws can be got from the proposed general one. The equilibrium points are characterized and their local stability properties discussed depending on the limits of the vaccination control gains provided that they converge asymptotically. KeywordsEpidemic models; distributed delays; SEIR model; feedback vaccination controls; equilibrium points.
منابع مشابه
An observer-based vaccination control law for an SEIR epidemic model based on feedback linearization techniques for nonlinear systems
This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by an SEIR (susceptible plus infected plus infectious plus removed populations) epidemic model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes the contacts among susceptible and in...
متن کاملFeedback linearization-based vaccination control strategies for true-mass action type SEIR epidemic models
Abstract. This paper presents a feedback linearization-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes more difficult contacts among susceptible and infected. The control objective is novel ...
متن کاملObserver-Based Vaccination Strategy for a True Mass Action SEIR Epidemic Model with Potential Estimation of All the Populations
This paper presents a simple continuous-time linear vaccination-based control strategy for a SEIR susceptible plus infected plus infectious plus removed populations propagation disease model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes more difficult contacts among the susceptible and infected. The control objectiv...
متن کاملAn SEIR Epidemic Model with Profitless Latent Period Time Delay and Pulse Vaccination
In this paper, we formulate a robust SEIR epidemic disease model with a profitless delay and nonlinear incidence, and analyze the dynamics behaviors of the model under pulse vaccination. By use of the discrete dynamical system determined by the stroboscopic map, we obtain an ’infection-free’ periodic solution, further, show that the ’infection-free’ periodic solution is globally attractive when...
متن کاملDisease Control of Delay SEIR Model with Nonlinear Incidence Rate and Vertical Transmission
The aim of this paper is to develop two delayed SEIR epidemic models with nonlinear incidence rate, continuous treatment, and impulsive vaccination for a class of epidemic with latent period and vertical transition. For continuous treatment, we obtain a basic reproductive number ℜ0 and prove the global stability by using the Lyapunov functional method. We obtain two thresholds ℜ* and ℜ∗ for imp...
متن کامل