Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate
In this paper, based on SIR and SEIR epidemic models with a general nonlinear incidence
rate, we incorporate time delays into the ordinary differential equation models. In particular …
rate, we incorporate time delays into the ordinary differential equation models. In particular …
Vaccination control of an epidemic model with time delay and its application to COVID-19
S Zhai, G Luo, T Huang, X Wang, J Tao, P Zhou - Nonlinear Dynamics, 2021 - Springer
This paper studies an SEIR-type epidemic model with time delay and vaccination control.
The vaccination control is applied when the basic reproduction number R 0> 1. The …
The vaccination control is applied when the basic reproduction number R 0> 1. The …
[HTML][HTML] Global analysis of an infection age model with a class of nonlinear incidence rates
B Soufiane, TM Touaoula - Journal of Mathematical Analysis and …, 2016 - Elsevier
SIR infection age models with a very general class of nonlinear incidence rates f (S, J) are
investigated. We give a necessary and sufficient condition for global asymptotic stability of …
investigated. We give a necessary and sufficient condition for global asymptotic stability of …
Deterministic seirs epidemic model for modeling vital dynamics, vaccinations, and temporary immunity
MB Trawicki - Mathematics, 2017 - mdpi.com
In this paper, the author proposes a new SEIRS model that generalizes several classical
deterministic epidemic models (eg, SIR and SIS and SEIR and SEIRS) involving the …
deterministic epidemic models (eg, SIR and SIS and SEIR and SEIRS) involving the …
[HTML][HTML] Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
R Sun - Computers & Mathematics with Applications, 2010 - Elsevier
In this paper, we introduce a basic reproduction number for a multigroup epidemic model
with nonlinear incidence. Then, we establish that global dynamics are completely …
with nonlinear incidence. Then, we establish that global dynamics are completely …
Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates
In this paper, we introduce a basic reproduction number for a multigroup SEIR model with
nonlinear incidence of infection and nonlinear removal functions between compartments …
nonlinear incidence of infection and nonlinear removal functions between compartments …
Hybrid impulsive and switching Hopfield neural networks with state-dependent impulses
We discuss the global stability of switching Hopfield neural networks (HNN) with state-
dependent impulses using B-equivalence method. Under certain conditions, we show that …
dependent impulses using B-equivalence method. Under certain conditions, we show that …
On an SEIADR epidemic model with vaccination, treatment and dead-infectious corpses removal controls
This paper studies the non-negativity and stability properties of the solutions of a newly
proposed SEIADR model with six subpopulations, namely, susceptible–exposed …
proposed SEIADR model with six subpopulations, namely, susceptible–exposed …
[HTML][HTML] Periodic solution of a chemostat model with variable yield and impulsive state feedback control
Z Li, L Chen, Z Liu - Applied Mathematical Modelling, 2012 - Elsevier
In this paper, a chemostat model with variable yield and impulsive state feedback control is
considered. We obtain sufficient conditions of the globally asymptotical stability of the system …
considered. We obtain sufficient conditions of the globally asymptotical stability of the system …
Modelling diseases with relapse and nonlinear incidence of infection: a multi-group epidemic model
J Wang, J Pang, X Liu - Journal of biological dynamics, 2014 - Taylor & Francis
In this paper, we introduce a basic reproduction number for a multi-group SIR model with
general relapse distribution and nonlinear incidence rate. We find that basic reproduction …
general relapse distribution and nonlinear incidence rate. We find that basic reproduction …