scholarly journals Tropical compound matrix identities

2018 ◽  
Vol 551 ◽  
pp. 162-206 ◽  
Author(s):  
Marianne Akian ◽  
Stéphane Gaubert ◽  
Adi Niv
Keyword(s):  
Compound Matrix ◽  
Matrix Identities

scholarly journals Derivatives of compound matrix valued functions

2016 ◽  
Vol 433 (2) ◽  
pp. 1459-1485 ◽  
Author(s):  
Brendan P.W. Ames ◽  
Hristo S. Sendov
Keyword(s):  
Compound Matrix ◽  
Derivatives Of

Light-Addressable Capsules as Caged Compound Matrix for Controlled Triggering of Cytosolic Reactions

2012 ◽  
Vol 52 (2) ◽  
pp. 695-699 ◽  
Author(s):  
Markus Ochs ◽  
Susana Carregal-Romero ◽  
Joanna Rejman ◽  
Kevin Braeckmans ◽  
Stefaan C. De Smedt ◽  
...  
Keyword(s):  
Compound Matrix

scholarly journals Matrix identities involving multiplication and transposition

2012 ◽  
pp. 937-969 ◽  
Author(s):  
Karl Auinger ◽  
Igor Dolinka ◽  
Mikhail Volkov
Keyword(s):  
Matrix Identities

Dynamics Analysis of an SEIQS Model with a Nonlinear Incidence Rate

2012 ◽  
Vol 157-158 ◽  
pp. 1220-1223
Author(s):  
Ning Cui ◽  
Jun Hong Li ◽  
Jiao Qu ◽  
Hong Dan Xue
Keyword(s):  
Lyapunov Function ◽  
Incidence Rate ◽  
Matrix Theory ◽  
Invariant Set ◽  
Dynamics Analysis ◽  
Nonlinear Incidence Rate ◽  
Nonlinear Incidence ◽  
Asymptotical Stable ◽  
Compound Matrix ◽  
Disease Free

This paper considers an SEIQS model with nonlinear incidence rate. By means of Lyapunov function and LaSalle’s invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium. It is then obtained the sufficent conditions for the global stability of the endemic equilibrium by the compound matrix theory. In addition, we also study the phenomena of limit cycle of the systems with the numerical simulations.

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