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Open AccessDirectly imaging excited state-resolved transient structures of water induced by valence and inner-shell ionisation
Real-time imaging of transient structure of the electronic excited state is fundamentally critical to understand and control ultrafast molecular dynamics. The ejection of electrons from the inner-shell and val...
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Article
Dynamics of a Predator–Prey Model with Memory-Based Diffusion
In this paper, we propose and analyze a diffusive predator–prey model with memory-based diffusion, which is described by a delayed predator-taxis term. We first obtain the existence and uniform boundedness of ...
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Article
Open AccessH2 formation via non-Born-Oppenheimer hydrogen migration in photoionized ethane
Neutral H2 formation via intramolecular hydrogen migration in hydrocarbon molecules plays a vital role in many chemical and biological processes. Here, employing cold target recoil ion momentum spectroscopy (COLT...
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Article
Open AccessProbing electron localization during molecular dissociation by femtosecond strong-field ion momentum spectroscopy
The study of molecular valence electron dynamics and their coupling with nuclear motion is one of the frontiers of ultrafast physics and ultrafast chemistry. With time-resolved strong-field ion momentum spectr...
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Article
Different timescales during ultrafast stilbene isomerization in the gas and liquid phases revealed using time-resolved photoelectron spectroscopy
Directly contrasting ultrafast excited-state dynamics in the gas and liquid phases is crucial to understanding the influence of complex environments. Previous studies have often relied on different spectroscop...
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Article
Open AccessTriple ionization and fragmentation of benzene trimers following ultrafast intermolecular Coulombic decay
Intermolecular interactions involving aromatic rings are ubiquitous in biochemistry and they govern the properties of many organic materials. Nevertheless, our understanding of the structures and dynamics of a...
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Article
Dynamics of A Single Population Model with Memory Effect and Spatial Heterogeneity
In this paper, a single reaction-diffusion population model with memory effect and the heterogeneity of the environment, equipped with the Neumann boundary, is considered. The global existence of a spatial non...
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Article
A Fisher–KPP Model with a Nonlocal Weighted Free Boundary: Analysis of How Habitat Boundaries Expand, Balance or Shrink
In this paper, we propose a novel free boundary problem to model the movement of single species with a range boundary. The spatial movement and birth/death processes of the species found within the range bound...
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Article
Open AccessPatterns of yeast diversity distribution and its drivers in rhizosphere soil of Hami melon orchards in different regions of **njiang
The unique climatic conditions of the **njiang region nurture rich melon and fruit resources, the melon and fruit sugar sources provide sufficient nutrients for the survival of yeast, and the diverse habitats ...
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Article
Spatial genetic patterns of the medicinal and edible shrub Lycium ruthenicum (Solanaceae) in arid **njiang, China
Climatic fluctuations and aridification have combined with the environmental heterogeneity between north and south **njiang to shape the spatial genetic structure and demographic history of desert species in X...
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Article
Diffusive Spatial Movement with Memory
Animal movements and their underlying mechanisms are an extremely important research area in biology and have been extensively studied for centuries. However, spatial memory and cognition, which is the most si...
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Article
Modelling intra-host competition between malaria parasites strains
An intra-host epidemiological model is formulated for the co-infection of drug-sensitive and drug-resistant malaria parasites to examine the impact of aggressive treatment on the effect of competitive release ...
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Open AccessModeling the effects of vaccination on rotavirus infection
In this article, a mathematical model of a rotavirus infection incorporating vaccination has been developed and comprehensively analyzed. The basic reproduction number,
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Open AccessSensitivity and uncertainty analysis of a simplified Kirschner-Panetta model for immunotherapy of tumor-immune interaction
In this study, we have simplified the Kirschner-Panetta model on the interaction of tumor cells and effector cells by considering linear growth term as opposed to logistic growth term used by Kirschner and Pan...
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Article
The outcomes of interventional treatment for Budd-Chiari syndrome: systematic review and meta-analysis
The purpose of this study was to conduct a systematic review with meta-analysis quantitatively assesses the outcomes of interventional treatment for Budd-Chiari syndrome (BCS). We evaluated the published studi...
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Article
Spatiotemporal mutualistic model of mistletoes and birds
A mathematical model which incorporates the spatial dispersal and interaction dynamics of mistletoes and birds is derived and studied to gain insights of the spatial heterogeneity in abundance of mistletoes. F...
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Article
Global Hopf Bifurcation Analysis of a Nicholson’s Blowflies Equation of Neutral Type
We investigate Hopf bifurcations in a delayed Nicholson’s blowflies equation of neutral type, derived from the Gurtin–MacCamy model. A key parameter that determines the direction of the Hopf bifurcation and th...
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Article
Delayed action insecticides and their role in mosquito and malaria control
There is considerable interest in the management of insecticide resistance in mosquitoes. One possible approach to slowing down the evolution of resistance is to use late-life-acting (LLA) insecticides that se...
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Article
Normal forms for NFDEs with parameters and application to the lossless transmission line
A method for the computation of normal forms for neutral functional differential equations (NFDEs) with parameters is developed by considering an extension of phase space, based on the method of computing nor...