scholarly journals Local and Global Stability Analysis of a Mathematical Model of Measles Incorporating Maternally-Derived-Immunity

2020 ◽  
Author(s):  
S A Somma ◽  
N I Akinwande ◽  
P Gana
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Global Stability ◽  
Local And Global Stability ◽  
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.

Global dynamics of hepatitis C viral infection with logistic proliferation

2016 ◽  
Vol 09 (04) ◽  
pp. 1650056
Author(s):  
Sandip Banerjee ◽  
Ram Keval ◽  
Sunita Gakkhar
Keyword(s):  
Mathematical Model ◽  
Hepatitis C Virus ◽  
Stability Analysis ◽  
Hepatitis C ◽  
Viral Infection ◽  
Global Stability ◽  
Geometric Approach ◽  
Global Dynamics ◽  
Viral Dynamics ◽  
Global Stability Analysis

A modified mathematical model of hepatitis C viral dynamics has been presented in this paper, which is described by four coupled ordinary differential equations. The aim of this paper is to perform global stability analysis using geometric approach to stability, based on the higher-order generalization of Bendixson’s criterion. The result is also supported numerically. An important epidemiological issue of eradicating hepatitis C virus has been addressed through the global stability analysis.

scholarly journals Investigation of the Global Mode in Swirling Combustor Flows: Experimental Observations and Local and Global Stability Analysis

2015 ◽  
Vol 14 ◽  
pp. 553-562 ◽  
Author(s):  
S. Terhaar ◽  
P. Paredes ◽  
K. Oberleithner ◽  
V. Theofilis ◽  
C.O. Paschereit
Keyword(s):  
Stability Analysis ◽  
Global Stability ◽  
Global Mode ◽  
Local And Global Stability ◽  
Global Stability Analysis
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