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The cancer stem cell hypothesis has evolved to one of the most important paradigms in
biomedical research. During recent years evidence has been accumulating for the existence
of stem cell-like populations in different cancers, especially in leukemias. In the
current work we propose a mathematical model of cancer stem cell dynamics in leukemias. We
apply the model to compare cellular properties of leukemic stem cells to those of their
benign counterparts....
Contact behavior plays an important role in influenza transmission. In the progression of
influenza spread, human population reduces mobility to decrease infection risks. In this
paper, a mathematical model is proposed to include adaptive mobility. It is shown that the
mobility response does not affect the basic reproduction number that characterizes the
invasion threshold, but reduces dramatically infection peaks, or removes the peaks.
Numerical...
Tuberculosis (TB) is the leading cause of death among individuals infected with the
hepatitis B virus (HBV). The study of the joint dynamics of HBV and TB present formidable
mathematical challenges due to the fact that the models of transmission are quite
distinct. We formulate and analyze a deterministic mathematical model which incorporates
of the co-dynamics of hepatitis B and tuberculosis. Two sub-models, namely: HBV-only and
TB-only sub-models...
The problems related to periodic solutions of cellular neural networks (CNNs) involving operator and proportional delays are considered. We shall present Topology degree theory and differential inequality technique for obtaining the existence of periodic solution to the considered neural networks. Furthermore, Laypunov functional method is used for studying global asymptotic stability of periodic solutions to the above system.
In this paper, we discuss some generalized stability of solutions to a class of nonlinear impulsive evolution equations in the certain piecewise essentially bounded functions space. Firstly, stabilization of solutions to nonlinear impulsive evolution equations are studied by means of fixed point methods at an appropriate decay rate. Secondly, stable manifolds for the associated singular perturbation problems with impulses are compared with each other. Finally, an example on initial boundary value...
A three dimensional predator-prey-resource model is proposed and analyzed to study the dynamics of the system with resource-dependent yields of the organisms. Our analysis leads to different thresholds in terms of the model parameters acting as conditions under which the organisms associated with the system cannot thrive even in the absence of predation. Local stability of the system is obtained in the absence of one or more of the predators and in the presence of all the predators. Under appropriate...
An adaptive sliding mode fault-tolerant controller based on fault observer is proposed for the space robots with joint actuator gain faults. Firstly, the dynamic model of the underactuated space robot is deduced combining conservation law of linear momentum with Lagrange method. Then, the dynamic model of the manipulator joints is obtained by using the mathematical operation of the block matrices, hence the measurement of the angular acceleration of the base attitude can be omitted. Subsequently,...
We investigate the Lyapunov stability implying asymptotic behavior of a nonlinear ODE system describing stress paths for a particular hypoplastic constitutive model of the Kolymbas type under proportional, arbitrarily large monotonic coaxial deformations. The attractive stress path is found analytically, and the asymptotic convergence to the attractor depending on the direction of proportional strain paths and material parameters of the model is proved rigorously with the help of a Lyapunov function....
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