Global Stability Results for Epidemic Models with Latent Period

1990 ◽  
Vol 7 (2) ◽  
pp. 69-75 ◽  
Author(s):  
F. RINALDI
Keyword(s):  
Global Stability ◽  
Latent Period ◽  
Epidemic Models ◽  
Stability Results

scholarly journals Global stability for multi-group SIR and SEIR epidemic models with age-dependent susceptibility

2017 ◽  
Vol 22 (7) ◽  
pp. 2795-2812 ◽  
Author(s):  
Jinliang Wang ◽  
◽  
Xianning Liu ◽  
Toshikazu Kuniya ◽  
Jingmei Pang ◽  
...  
Keyword(s):  
Global Stability ◽  
Epidemic Models ◽  
Age Dependent

scholarly journals Global stability properties of a class of renewal epidemic models

2019 ◽  
Vol 78 (6) ◽  
pp. 1713-1725
Author(s):  
Michael T. Meehan ◽  
Daniel G. Cocks ◽  
Johannes Müller ◽  
Emma S. McBryde
Keyword(s):  
Global Stability ◽  
Epidemic Models ◽  
Stability Properties

scholarly journals On Some Sufficiency-Type Global Stability Results for Time-Varying Dynamic Systems with State-Dependent Parameterizations

2019 ◽  
Vol 2019 ◽  
pp. 1-15
Author(s):  
M. De la Sen
Keyword(s):  
Global Stability ◽  
Dynamic Systems ◽  
Taylor Series Expansion ◽  
Time Varying ◽  
State Dependent ◽  
The Matrix ◽  
The Stability ◽  
Interval Type ◽  
Truncation Order ◽  
Stability Results

This paper formulates sufficiency-type global stability and asymptotic stability results for, in general, nonlinear time-varying dynamic systems with state-trajectory solution-dependent parameterizations. The stability proofs are based on obtaining sufficiency-type conditions which guarantee that either the norms of the solution trajectory or alternative interval-type integrals of the matrix of dynamics of the higher-order than linear terms do not grow faster than their available supremum on the preceding time intervals. Some extensions are also given based on the use of a truncated Taylor series expansion of chosen truncation order with multiargument integral remainder for the dynamics of the differential system.

An algebraic approach to proving the global stability of a class of epidemic models

2012 ◽  
Vol 13 (5) ◽  
pp. 2006-2016 ◽  
Author(s):  
Jianquan Li ◽  
Yanni Xiao ◽  
Fengqin Zhang ◽  
Yali Yang
Keyword(s):  
Global Stability ◽  
Algebraic Approach ◽  
Epidemic Models
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