Global Stability Analysis and Calculation of Liquid−Liquid Equilibrium in Multicomponent Mixtures†

1996 ◽  
Vol 35 (4) ◽  
pp. 1395-1408 ◽  
Author(s):  
Stanislaw K. Wasylkiewicz ◽  
Lakshmi N. Sridhar ◽  
Michael F. Doherty ◽  
Michael F. Malone
Keyword(s):  
Stability Analysis ◽  
Global Stability ◽  
Multicomponent Mixtures ◽  
Liquid Equilibrium ◽  
Global Stability Analysis

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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