Stability analysis and simulation of an anti-HBV therapy mathematical model with time-delay immune response

2011 ◽  
Author(s):  
Yongmei Su ◽  
Lequan Min
Keyword(s):  
Mathematical Model ◽  
Immune Response ◽  
Stability Analysis ◽  
Time Delay

Mathematical model of the primary CD8 T cell immune response: stability analysis of a nonlinear age-structured system

2011 ◽  
Vol 65 (2) ◽  
pp. 263-291 ◽  
Author(s):  
Emmanuelle Terry ◽  
Jacqueline Marvel ◽  
Christophe Arpin ◽  
Olivier Gandrillon ◽  
Fabien Crauste
Keyword(s):  
Mathematical Model ◽  
Immune Response ◽  
Stability Analysis ◽  
T Cell ◽  
Cd8 T Cell ◽  
Cell Immune Response ◽  
Structured System ◽  
Age Structured

scholarly journals THE ANALYSIS OF CHEMICAL KINETICS EQUATIONS WITH TIME DELAY

2000 ◽  
Vol 5 (1) ◽  
pp. 175-180
Author(s):  
D. Švitra ◽  
R. Retkute
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Time Delay ◽  
Chemical Kinetics ◽  
Isolated Population ◽  
The Stability

The stability analysis of one mathematical model of isolated population is given. The delays have been incorporated into equations.

scholarly journals Volterra–Lyapunov Stability Analysis of the Solutions of Babesiosis Disease Model

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1272
Author(s):  
Fengsheng Chien ◽  
Stanford Shateyi
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Global Stability ◽  
Numerical Simulations ◽  
Lyapunov Stability ◽  
Disease Model ◽  
Transmission Dynamics ◽  
Global Stability Analysis ◽  
Lyapunov Stability Analysis ◽  
Disease Free

This paper studies the global stability analysis of a mathematical model on Babesiosis transmission dynamics on bovines and ticks populations as proposed by Dang et al. First, the global stability analysis of disease-free equilibrium (DFE) is presented. Furthermore, using the properties of Volterra–Lyapunov matrices, we show that it is possible to prove the global stability of the endemic equilibrium. The property of symmetry in the structure of Volterra–Lyapunov matrices plays an important role in achieving this goal. Furthermore, numerical simulations are used to verify the result presented.

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