Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Title
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Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates
(20121231)In this paper, by applying a variation of the backward Euler method, we propose a discretetime SIR epidemic model whose discretization scheme preserves the global asymptotic stability of equilibria for a class of corresponding ... 
Global dynamics of twocompartment models for cell production systems with regulatory mechanisms
(20131231)We present a global stability analysis of twocompartment models of a hierarchical cell production system with a nonlinear regulatory feedback loop. The models describe cell differentiation processes with the stem cell ... 
Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
(20121231)In this paper, we propose a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population, which is derived from the continuous case by using the wellknown backward Euler method ... 
Global stability for a discrete SIS epidemic model with immigration of infectives
(20121231)In this paper, we propose a discretetime SIS epidemic model which is derived from continuoustime SIS epidemic models with immigration of infectives by the backward Euler method. For the discretized model, by applying new ... 
Global stability of a delayed SIRS epidemic model with a nonmonotonic incidence rate
(20111231)In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and the specific nonmonotone incidence rate, namely, For the basic reproduction number R0>1, applying monotone iterative ... 
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 ... 
Global stability of sirs epidemic models with a class of nonlinear incidence rates and distributed delays
(20121231)In this article, we establish the global asymptotic stability of a diseasefree equilibrium and an endemic equilibrium of an SIRS epidemic model with a class of nonlinear incidence rates and distributed delays. By using ... 
GrigorchukGuptaSidki groups as a source for Beauvile surfaces
(20200414)If $G$ is a GrigorchukGuptaSidki group defined over a $p$adic tree, where p is an odd prime, we study the existence of Beauville surfaces associated to the quotients of $G$ by its level stabilizers $st_G(n)$. We prove ... 
Hartman effect and weak measurements that are not really weak
(20111231)We show that in wave packet tunneling, localization of the transmitted particle amounts to a quantum measurement of the delay it experiences in the barrier. With no external degree of freedom involved, the envelope of the ... 
Hidden electronic rule in the "clusterplusglueAtom" model
(20161001)Electrons and their interactions are intrinsic factors to affect the structure and properties of materials. Based on the “clusterclusterplusglueatom” model, an electron counting rule for complex metallic alloys (CMAs) ... 
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, ... 
How does radiofrequency ablation efficacy depend on the stiffness of the cardiac tissue? Insights from a computational model
(2019)Objective. Radiofrequency catheter ablation (RFCA) is an effective treatment for the elimination of cardiac arrhythmias, however it is not exempt from complications that can risk the patients’ life. The efficacy of the ... 
Impact of competitive processes on controlled radical polymerization
(20141231)The kinetics of radical polymerization have been systematically studied for nearly a century and in general are well understood. However, in light of recent developments in controlled radical polymerization many kinetic ... 
The Impact of Serotype CrossProtection on Vaccine Trials: DENVax as a Case Study
(202011)There is a growing public health need for effective preventive interventions against dengue, and a safe, effective and affordable dengue vaccine against the four serotypes would be a significant achievement for disease ... 
Incorporating landscape heterogeneities in the spread of an epidemics in wildlife
(20141231)One of the main difficulties in the modeling and numerical simulation of the spread of an infectious disease in wildlife resides in properly taking into account the heterogeneities of the landscape. Forests, plains and ... 
Inflection, Canards and Folded Singularities in Excitable Systems: Application to a 3D FitzHugh–Nagumo Model
(20200907)Specific kinds of physical and biological systems exhibit complex MixedMode Oscillations mediated by foldedsingularity canards in the context of slowfast models. The present manuscript revisits these systems, specifically ... 
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 ... 
Information Flow between RestingState Networks
(20151231)The resting brain dynamics selforganize into a finite number of correlated patterns known as restingstate networks (RSNs). It is well known that techniques such as independent component analysis can separate the brain ... 
Interference mechanism of seemingly superluminal tunneling
(20131231)Apparently "superluminal" transmission, e.g., in quantum tunneling and its variants, occurs via a subtle interference mechanism which allows reconstruction of the entire spatial shape of a wave packet from its front tail. ... 
An introduction to mathematical and numerical modeling in heart electrophysiology
(2016)The electrical activation of the heart is the biological process that regulates the contraction of the cardiac muscle, allowing it to pump blood to the whole body. In physiological conditions, the pacemaker cells of the ...