scholarly journals Simulation of Local Stability Analysis of An Epidemic Model with Constant Removal Rate of the Infective Between 2017-2019

2019 ◽  
Keyword(s):  
Stability Analysis ◽  
Epidemic Model ◽  
Local Stability ◽  
Removal Rate ◽  
Local Stability Analysis

scholarly journals Local Stability Analysis of an SVIR Epidemic Model

CAUCHY ◽  
2017 ◽  
Vol 5 (1) ◽  
pp. 20
Author(s):  
Joko Harianto
Keyword(s):  
Stability Analysis ◽  
Basic Reproduction Number ◽  
Epidemic Model ◽  
Local Stability ◽  
Reproduction Number ◽  
Endemic Equilibrium ◽  
System Disease ◽  
Local Stability Analysis ◽  
Disease Free ◽  
The Basic Reproduction Number

In this paper, we present an SVIR epidemic model with deadly deseases. Initially the basic formulation of the model is presented. Two equilibrium point exists for the system; disease free and endemic equilibrium. The local stability of the disease free and endemic equilibrium exists when the basic reproduction number less or greater than unity, respectively. If the value of R0 less than one then the desease free equilibrium is locally stable, and if its exceeds, the endemic equilibrium is locally stable. The numerical results are presented for illustration.

scholarly journals Local stability analysis for tuberculosis epidemic model with different infection stages and treatments

2021 ◽  
Vol 1943 (1) ◽  
pp. 012120
Author(s):  
N A Lestari ◽  
Sutimin ◽  
S Khabibah ◽  
R H S Utomo ◽  
R Herdiana ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Epidemic Model ◽  
Local Stability ◽  
Local Stability Analysis

Dynamic Analysis of Mechanical Systems With Time-Varying Topologies: Part 1 — Dynamic Model and Stability Analysis

1990 ◽  
Author(s):  
Yu Wang
Keyword(s):  
Stability Analysis ◽  
Dynamic Model ◽  
Local Stability ◽  
Global Analysis ◽  
Equations Of Motion ◽  
Mechanical Systems ◽  
Time Varying ◽  
Discrete Equations ◽  
Local Stability Analysis ◽  
Multiple Collisions

Abstract A model is developed for analyzing mechanical systems with a pair of bodies with topological changes in their kinematic constraints. It is built upon the concept of Poincaré map rather than following the traditional methods of differential equations. The model provides a set of well-defined and naturally-discrete equations of motion and is capable of giving physical insights of dynamic characteristics of deadbeat convergence of multiple collisions and periodic or chaotic responses. The development of dynamic model and a local stability analysis are presented in Part 1, and the global analysis and numerical simulation are discussed in Part 2.

Sign in / Sign up

Export Citation Format

Share Document