Results 11 to 20 of about 282 (64)

The Dynamics of an HIV/AIDS Model with Screened Disease Carriers

Computational and Mathematical Methods in Medicine, Volume 10, Issue 4, Page 287-305, 2009., 2009
The presence of carriers usually complicates the dynamics and prevention of a disease. They are not recognized as disease cases themselves unless they are screened and they usually spread the infection without them being aware. We argue that this has been one of the major causes of the spread of human immunodeficiency virus (HIV).
S. D. Hove-Musekwa, F. Nyabadza
wiley   +1 more source

Modelling Immune Response and Drug Therapy in Human Malaria Infection

Computational and Mathematical Methods in Medicine, Volume 9, Issue 2, Page 143-163, 2008., 2008
A new intra‐host model of malaria that describes the dynamics of the blood stages of the parasite and its interaction with red blood cells and immune effectors is proposed. Local and global stability of the disease free equilibrium are investigated. Conditions for existence and uniqueness of the endemic equilibrium are derived.
C. Chiyaka, W. Garira, S. Dube
wiley   +1 more source

On the uniform exponential stability of linear skew‐product semiflows

Journal of Function Spaces, Volume 4, Issue 2, Page 145-161, 2006., 2006
The problem of uniform exponential stability of linear skew‐product semiflows on locally compact metric space with Banach fibers, is discussed. It is established a connection between the uniform exponential stability of linear skewproduct semiflows and some admissibility‐type condition.
Ciprian Preda, Björn Birnir
wiley   +1 more source

Stability analysis of periodically switched linear systems using Floquet theory

Mathematical Problems in Engineering, Volume 2004, Issue 1, Page 1-10, 2004., 2004
Stability of a switched system that consists of a set of linear time invariant subsystems and a periodic switching rule is investigated. Based on the Floquet theory, necessary and sufficient conditions are given for exponential stability. It is shown that there exists a slow switching rule that achieves exponential stability if at least one of these ...
Cevat Gökçek
wiley   +1 more source

On a criterion of Yakubovich type for the absolute stability of nonautonomous control processes

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 16, Page 1027-1041, 2003., 2003
We generalize a criterion of Yakubovich for the absolute stability of control processes with periodic coefficients to the case when the coefficients are bounded and uniformly continuous functions.
R. Fabbri, S. T. Impram, R. Johnson
wiley   +1 more source

Matrix measure and application to stability of matrices and interval dynamical systems

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 75-85, 2003., 2003
Using some properties of the matrix measure, we obtain a general condition for the stability of a convex hull of matrices that will be applied to study the stability of interval dynamical systems. Some classical results from stability theory are reproduced and extended.
Ziad Zahreddine
wiley   +1 more source

Dynamics of a class of uncertain nonlinear systems under flow‐invariance constraints

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 5, Page 263-294, 2003., 2003
For a class of uncertain nonlinear systems (UNSs), the flow-invariance of a time‐dependent rectangular set (TDRS) defines individual constraints for each component of the state‐space trajectories. It is shown that the existence of the flow‐invariance property is equivalent to the existence of positive solutions for some differential inequalities with ...
Octavian Pastravanu, Mihail Voicu
wiley   +1 more source

[Retracted] On the interlacing property and the Routh‐Hurwitz criterion

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 12, Page 727-737, 2003., 2003
Unlike the Nyquist criterion, root locus, and many other stability criteria, the well‐known Routh‐Hurwitz criterion is usually introduced as a mechanical algorithm and no attempt is made whatsoever to explain why or how such an algorithm works. It is widely believed that simple derivations of this important criterion are highly requested by the ...
Ziad Zahreddine
wiley   +1 more source

On the Lyapunov equation in Banach spaces and applications to control problems

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 155-166, 2002., 2002
By extending the Lyapunov equation A*Q + QA = −P to an arbitrary infinite‐dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null‐controllability is established.
Vu Ngoc Phat, Tran Tin Kiet
wiley   +1 more source

Study of exponential stability of coupled wave systems via distributed stabilizer

International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 8, Page 479-491, 2001., 2001
Stabilization of the system of wave equations coupled in parallel with coupling distributed springs and viscous dampers are under investigation due to different boundary conditions and wave propagation speeds. Numerical computations are attempted to confirm the theoretical results.
Mahmoud Najafi
wiley   +1 more source