Global stability for the SEIR model in epidemiology
MY Li, JS Muldowney - Mathematical biosciences, 1995 - Elsevier
The SEIR model with nonlinear incidence rates in epidemiology is studied. Global stability of
the endemic equilibrium is proved using a general criterion for the orbital stability of periodic …
the endemic equilibrium is proved using a general criterion for the orbital stability of periodic …
Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes
S Khajanchi, S Bera, TK Roy - Mathematics and Computers in Simulation, 2021 - Elsevier
A mathematical model for the CD8+ T-cell response to Human T cell leukemia/lymphoma
virus type I (HTLV-I) infection is investigated in this paper. The proposed model, which …
virus type I (HTLV-I) infection is investigated in this paper. The proposed model, which …
Effect of hunting cooperation and fear in a predator-prey model
Dynamics of predator-prey systems under the influence of cooperative hunting among
predators and the fear thus imposed on the prey population is of great importance from …
predators and the fear thus imposed on the prey population is of great importance from …
Global dynamics of an SEIR epidemic model with vertical transmission
We study a population model for an infectious disease that spreads in the host population
through both horizontal and vertical transmission. The total host population is assumed to …
through both horizontal and vertical transmission. The total host population is assumed to …
Global results for an epidemic model with vaccination that exhibits backward bifurcation
Vaccination of both newborns and susceptibles is included in a transmission model for a
disease that confers immunity. The interplay of the vaccination strategy together with the …
disease that confers immunity. The interplay of the vaccination strategy together with the …
Substability and substabilization: Control of subfully actuated systems
GR Duan - IEEE Transactions on Cybernetics, 2023 - ieeexplore.ieee.org
The region of attraction of the Lyapunov asymptotic stability at the origin is defined to be a
ball centered at the origin, which is clearly simply connected and also bounded in the local …
ball centered at the origin, which is clearly simply connected and also bounded in the local …
Lyapunov functional and global asymptotic stability for an infection-age model
We study an infection-age model of disease transmission, where both the infectiousness
and the removal rate may depend on the infection age. In order to study persistence, the …
and the removal rate may depend on the infection age. In order to study persistence, the …
Mathematical analysis of the global dynamics of a model for HIV infection of CD4+ T cells
A mathematical model that describes HIV infection of CD4+ T cells is analyzed. Global
dynamics of the model is rigorously established. We prove that, if the basic reproduction …
dynamics of the model is rigorously established. We prove that, if the basic reproduction …
[HTML][HTML] Stability analysis and optimal control of covid-19 with convex incidence rate in Khyber Pakhtunkhawa (Pakistan)
The dynamic of covid-19 epidemic model with a convex incidence rate is studied in this
article. First, we formulate the model without control and study all the basic properties and …
article. First, we formulate the model without control and study all the basic properties and …
[HTML][HTML] Global stability of SAIRS epidemic models
We study an SAIRS-type epidemic model with vaccination, where the role of asymptomatic
and symptomatic infectious individuals is explicitly considered in the transmission patterns of …
and symptomatic infectious individuals is explicitly considered in the transmission patterns of …