Results 51 to 60 of about 2,473,621 (173)
Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
wiley +1 more source
Global attractor and stabilization for a coupled PDE-ODE system [PDF]
arXiv, 2011 We study the asymptotic behavior of solutions of one coupled PDE-ODE system arising in mathematical biology as a model for the development of a forest ecosystem. In the case where the ODE-component of the system is monotone, we establish the existence of a smooth global attractor of finite Hausdorff and fractal dimension.
arxiv
Strichartz estimates and Blowup stability for energy critical nonlinear wave equations [PDF]
arXiv, 2022 We prove Strichartz estimates in similarity coordinates for the radial wave equation with a self similar potential in dimensions $d\geq 3$. As an application of these, we establish the asymptotic stability of the ODE blowup profile of the energy critical radial nonlinear wave equation for $3\leq d\leq 6$.
arxiv
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever ...
A. Domoshnitsky +3 more
wiley +1 more source
Disease Transmission on Random Graphs Using Edge‐Based Percolation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Edge‐based percolation methods can be used to analyze disease transmission on complex social networks. This allows us to include complex social heterogeneity in our models while maintaining tractability. Here, we begin by reviewing the seminal works on this field in previous studies by Newman et al. (2002, 2003) and Miller et al. (2012).
Sicheng Zhao, Felicia Maria G. Magpantay
wiley +1 more source
Quenching, global existence and blowup phenomena in heat transfer [PDF]
arXiv, 2020 Basing on the relations between a system of ODE and a system of parabolic equations, we establish some general theories in heat transfer about quenching, global existence and blowup phenomena, obtain the conditions(even watershed) on f(u,v), g(u,v), a(x) and b(x) which let the solution be global existence, quench or blow up, and estimate the bounds for
arxiv
Naval Research Logistics (NRL), EarlyView.ABSTRACT The COVID‐19 pandemic has reverberated across global industries, including the international container shipping industry, where freight rates have become highly volatile. However, shipping lines appeared to thrive, particularly during the pandemic's initial 2 years.
Shiyuan Zheng, Changmin Jiang
wiley +1 more source
Encoding sinusoidal functions in hybrid automata formalism [PDF]
arXiv, 2020 Hybrid systems can express a plethora of physical phenomena and systems as they can combine continuous and discrete dynamics. There exist several tools that enable the reachability analysis of hybrid systems modeled as hybrid automata. However, these tools exhibit certain limitations in the type of mathematical operations that they natively support ...
arxiv
Model‐Driven Engineering for Digital Twins: Opportunities and Challenges
Systems Engineering, EarlyView.ABSTRACT Digital twins are increasingly used across a wide range of industries. Modeling is a key to digital twin development—both when considering the models which a digital twin maintains of its real‐world complement (“models in digital twin”) and when considering models of the digital twin as a complex (software) system itself.
Judith Michael +29 more
wiley +1 more source
The effectiveness of indirect plant defence is dependent on plant competition
Journal of Ecology, EarlyView.We investigated whether plant competition influences the effects of parasitoids on plant fitness. Using a full‐factorial open‐field experiment, we tested three levels of herbivory and plant competition. Our results show that parasitoids enhance plant fitness, but only in high plant density, when competing plants are attacked by unparasitized herbivores,
Maximilien A. C. Cuny +5 more
wiley +1 more source