A Case Study of Genome Evolution: From Continuous to Discrete Time Model

2004 ◽  
pp. 1-24 ◽  
Author(s):  
Jerzy Tiuryn ◽  
Ryszard Rudnicki ◽  
Damian Wójtowicz
Keyword(s):  
Genome Evolution ◽  
Discrete Time ◽  
Time Model ◽  
Discrete Time Model

scholarly journals A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal

Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 314
Author(s):  
Sandra Vaz ◽  
Delfim F. M. Torres
Keyword(s):  
Mathematical Model ◽  
Discrete Time ◽  
Continuous Time ◽  
Local Stability ◽  
Real Data ◽  
Time Model ◽  
Discrete Time Model ◽  
Theoretical Results ◽  
Disease Free

Recently, a continuous-time compartmental mathematical model for the spread of the Coronavirus disease 2019 (COVID-19) was presented with Portugal as case study, from 2 March to 4 May 2020, and the local stability of the Disease Free Equilibrium (DFE) was analysed. Here, we propose an analogous discrete-time model and, using a suitable Lyapunov function, we prove the global stability of the DFE point. Using COVID-19 real data, we show, through numerical simulations, the consistence of the obtained theoretical results.

Non-homogeneous infinitely many sites discrete-time model with exact coalescent

2009 ◽  
Vol 33 (6) ◽  
pp. 713-732
Author(s):  
Adam Bobrowski ◽  
Marek Kimmel ◽  
Małgorzata Kubalińska
Keyword(s):  
Discrete Time ◽  
Time Model ◽  
Discrete Time Model
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