Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Issue Date
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Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique
(20101231)The spin of a single electron in an electrically defined quantum dot in a twodimensional electron gas can be manipulated by moving the quantum dot adiabatically in a closed loop in the twodimensional plane under the ... 
Coarsegraining RNA nanostructures for molecular dynamics simulations
(20101231)A series of coarsegrained models have been developed for study of the molecular dynamics of RNA nanostructures. The models in the series have one to three beads per nucleotide and include different amounts of detailed ... 
Spinorbit interaction in threedimensionally bounded semiconductor nanostructures
(20101231)The structural inversion asymmetryinduced spinorbit interaction of conduction band electrons in zincblende and wurtzite semiconductor structures is analysed allowing for a threedimensional (3D) character of the external ... 
Breast cancer dormancy can be maintained by small numbers of micrometastases
(20101231)Late relapse of breast cancer can occur more than 25 years after primary diagnosis. During the intervening years between initial treatment and relapse, occult cancers are maintained in an apparent state of dormancy that ... 
Numerical analysis of complex systems evolution with phase transformations at different spatial scales
(20101231)This paper shows the existence of a critical dimension for finite length nanowires exhibiting shape memory effects. We give a brief survey of phase transformations, their classifications, and provide the basis of mathematical ... 
Complex systems in finance: Monte Carlo evaluation of first passage time density functions
(20101231)Many examples of complex systems are provided by applications in finance and economics areas. Some of intrinsic features of such systems lie with the fact that their parts are interacting in a nontrivial dynamic manner ... 
Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
(20101231)In this paper, a logistic equation with multiple piecewise constant arguments is investigated in detail. We generalize the approach in two papers, [K. Uesugi, Y. Muroya, E. Ishiwata, On the global attractivity for a logistic ... 
Band structures of laterally coupled quantum dots, accounting for electromechanical effects
(20101231)In a series of recent papers we demonstrated that coupled electromechanical effects can lead to pronounced contributions in band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as quantum ... 
Microstructures of constrained shape memory alloy nanowires under thermal effects
(20101231)In this paper, martensitic transformations in constrained FePd nanowires are studied using a mesoscopic model analyzed in detail numerically in our earlier papers. The dynamics of squaretorectangular transformation is ... 
Higherorder nonlinear electromechanical effects in wurtzite GaN/AlN quantum dots
(20101231)As we demonstrated earlier, conventional mathematical models based on linear approximations may be inadequate in the analysis of properties of lowdimensional nanostructures and band structure calculations. In this work, ... 
Numerical equilibrium analysis for structured consumer resource models
(20101231)In this paper, we present methods for a numerical equilibrium and stability analysis for models of a size structured population competing for an unstructured resource. We concentrate on cases where two model parameters are ... 
Influence of electromechanical effects and wetting layers on band structures of AlN/GaN quantum dots and spin control
(20101231)In a series of recent papers we demonstrated that coupled electromechanical effects can lead to pronounced contributions in band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as quantum ... 
Geometry and temperature dependent thermal conductivity of diamond nanowires: A nonequilibrium molecular dynamics study
(20101231)Using nonequilibrium molecular dynamics methods, the analysis of geometry and temperature dependent thermal conductivities of diamond nanowires is carried out. It is found that at the same temperature conditions, thermal ... 
Band structures of cylindrical AlN/GaN quantum dots with fully coupled piezoelectric models
(20101231)We study the coupled electromechanical effects in the band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as AlN/GaN quantum dots. Some effects in these systems are essentially nonlinear. ... 
Permanence and global stability of a class of discrete epidemic models
(20111231)In this paper we investigate the permanence of a system and give a sufficient condition for the endemic equilibrium to be globally asymptotically stable, which are the remaining problems in our previous paper (G. Izzo, Y. ... 
Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays
(20111231)In this paper, for SIRS epidemic models with a class of nonlinear incidence rates and distributed delays of the forms βS(t)∫0hk(τ)G(I(tτ) )dτ, we establish the global asymptotic stability of the diseasefree equilibrium ... 
Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays
(20111231)In this paper, we establish the global asymptotic stability of equilibria for an SIR model of infectious diseases with distributed time delays governed by a wide class of nonlinear incidence rates. We obtain the global ... 
Quiescence: A mechanism for escaping the effects of drug on cell populations
(20111231)We point out that a simple and generic strategy in order to lower the risk for extinction consists in developing a dormant stage in which the organism is unable to multiply but may die. The dormant organism is protected ... 
Traveling waves for models of phase transitions of solids driven by configurational forces
(20111231)This article is concerned with the existence of traveling wave solutions, including standing waves, to some models based on configurational forces, describing respectively the diffusionless phase transitions of solid ... 
Global dynamics of a viral infection model with a latent period and BeddingtonDeAngelis response
(20111231)In this paper, we study the global dynamics of a viral infection model with a latent period. The model has a nonlinear function which denotes the incidence rate of the virus infection in vivo. The basic reproduction number ...