Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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Molecular dynamics study on diamond nanowires mechanical properties: Strain rate, temperature and size dependent effects
(Diamond and Related Materials, 20111231)Using molecular dynamics simulations, strain rate, temperature and size dependent mechanical properties of < 001 > orientation diamond nanowires are investigated. It is found that, for the same crosssectional areas, ... 
Molecular dynamics study on ZnO nanowires mechanical properties: Strain rate, temperature and size dependent effects
(Journal of Computational and Theoretical Nanoscience, 20121231)Using molecular dynamics simulations, strain rate, temperature, size and orientation dependent mechanical properties of zinc oxide (ZnO) nanowire are carried out with tensile loading. It is found that, for the same ... 
Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays
(Nonlinear Analysis: Real World Applications, 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 ... 
MultiGGS groups have the congruence subgroup property
(Proceedings of the Edinburgh Mathematical Society, 20181108)We generalize the result about the congruence subgroup property for GGSgroups to the family of multiGGSgroups; that is, all multiGGSgroups except the one defined by the constant vector have the congruence subgroup ... 
Multistage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods
(Journal of Computational Physics, 20180717)Modified Hamiltonian Monte Carlo (MHMC) methods combine the ideas behind two popular sampling approaches: Hamiltonian Monte Carlo (HMC) and importance sampling. As in the HMC case, the bulk of the computational cost of ... 
Multipletimestepping generalized hybrid Monte Carlo methods
(Journal of Computational Physics, 20141231)Performance of the generalized shadow hybrid Monte Carlo (GSHMC) method [1], which proved to be superior in sampling efficiency over its predecessors [24], molecular dynamics and hybrid Monte Carlo, can be further improved ... 
Multiscale simulations of the antimicrobial peptide maculatin 1.1: Water permeation through disordered aggregates
(Journal of Physical Chemistry B, 20121231)The antimicrobial peptide maculatin 1.1 (M1.1) is an amphipathic αhelix that permeabilizes lipid bilayers. In coarsegrained molecular dynamics (CG MD) simulations, M1.1 has previously been shown to form membranespanning ... 
No Time at the End of the Tunnel
(Communications Physics – Nature, 20180821)Modern attosecond experiments seek to provide an insight into a long standing question: “how much time does a tunnelling particle spend in the barrier?” Traditionally, quantum theory relates this duration to the delay ... 
NonMarkovian models of the growth of a polymer chain
(Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20151231)Using simple exactly solvable models, we show that eventdependent time delays may lead to significant nonPoisson effects in the statistics of polymer chain growth. The results are confirmed by stochastic simulation of ... 
Nonlinear dynamics of shape memory alloy oscillators in tuning structural vibration frequencies
(Mechatronics, 20121231)Shape memory alloy (SMA) is one of the novel advanced functional materials that has an increasing range of current and potential applications, including smart materials and structures, biomedical and nanotechnologies. ... 
Numerical analysis of complex systems evolution with phase transformations at different spatial scales
(CivilComp Proceedings, 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 ... 
Numerical Bifurcation Analysis of Physiologically Structured Populations: ConsumerResource, Cannibalistic and Trophic Models
(Bulletin of Mathematical Biology, 20160622)With the aim of applying numerical methods, we develop a formalism for physiologically structured population models in a new generality that includes con sumer resource, cannibalism and trophic models. The dynamics at the ... 
Numerical equilibrium analysis for structured consumer resource models
(Bulletin of Mathematical Biology, 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 ... 
Numerical Regge pole analysis of resonance structures in elastic, inelastic and reactive statetostate integral cross sections
(Computer Physics Communications, 20141231)We present a detailed description of a FORTRAN code for evaluation of the resonance contribution a Regge trajectory makes to the integral statetostate cross section (ICS) within a specified range of energies. The ... 
Numerical simulation of a susceptibleexposedinfectious spacecontinuous model for the spread of rabies in raccoons across a realistic landscape
(Journal of Biological Dynamics, 20131231)We introduce a numerical model for the spread of a lethal infectious disease in wildlife. The reference model is a SusceptibleExposedInfectious system where the spatial component of the dynamics is modelled by a diffusion ... 
Numerical simulation of extreme wave runup during storm events in Tramandaí Beach, Rio Grande do Sul, Brazil
(Coastal Engineering, 20151231)We present a high resolution analysis of the interaction of irregular waves with natural and urban structures leading to extreme wave runup. Horizontal runup data, instantaneous flooding maps, and wave propagation beyond ... 
On a generalization of the global attractivity for a periodically forced Pielou's equation
(Journal of Difference Equations and Applications, 20121231)In this paper, we study the global attractivity for a class of periodic difference equation with delay which has a generalized form of Pielou's difference equation. The global dynamics of the equation is characterized by ... 
On the Analysis of TrajectoryBased Search Algorithms: When is it Beneficial to Reject Improvements?
(Algorithmica, 2018)We investigate popular trajectorybased algorithms inspired by biology and physics to answer a question of general significance: when is it beneficial to reject improvements? A distinguishing factor of SSWM (Strong Selection ... 
On the global stability of a delayed epidemic model with transportrelated infection
(Nonlinear Analysis: Real World Applications, 20111231)We study the global dynamics of a time delayed epidemic model proposed by Liu et al. (2008) [J. Liu, J. Wu, Y. Zhou, Modeling disease spread via transportrelated infection by a delay differential equation, Rocky Mountain ... 
On the global stability of an SIRS epidemic model with distributed delays
(Discrete and Continuous Dynamical Systems Series A, 20111231)In this paper, we establish the global asymptotic stability of an endemic equilibrium for an SIRS epidemic model with distributed time delays. It is shown that the global stability holds for any rate of immunity loss, if ...