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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...
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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
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
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
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
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
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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Chapter and Conference Paper
Analysis Method of College Student Physical Education Quality Based on Big Data Analysis
The importance of physical education as an important part of higher education is self-evident and has great value for improving the physical fitness of college students. According to the requirements of the ne...
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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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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
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
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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Chapter
Applications of Uniform Degree in Forestry and Ecology
Forestry and ecology are inseparable subjects. The investigation of patterns arising from these two areas gives rise to theory of uniformity, and the theory of uniformity is applicable to these two areas in re...
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Chapter and Conference Paper
Application of Big Data in the Innovation of Physical Education Teaching Mode
Since the last century, China's economy has achieved rapid development. It is in this context that the operation mode of big data emerges as the times require. In our higher education, the physical education c...
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Chapter
Simulations on k-Step Chaometry
We use uniform degree to describe the periodic and uniform distributions, the two extremes of chaos. Their uniform degrees are 0 and $$\frac{1...
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Chapter
An Interpretation of Chaos by Uniform Degree
The uniform degree L defined in the previous chapter is in accordance with the intuition on uniformity. The k-step average uniform degree is an estimation of the expected average uniform degree, and k-step chaome...
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Book
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Chapter
Uniform Degree
The distribution of a finite number of points in a polygon is referred to as a pattern in this book. Aggregation and uniformity are two typical opposite features of a pattern. Based on the uniform degree defin...
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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
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...