Results 21 to 30 of about 2,928 (263)
On global boundedness of the Chen system
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Zhang, Fuchen +4 more
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Global and local boundedness of Polish groups [PDF]
We present a comprehensive theory of boundedness properties for Polish groups developed with a main focus on Roelcke precompactness (precompactness of the lower uniformity) and Property (OB) (boundedness of all isometric actions on separable metric spaces). In particular, these properties are characterised by the orbit structure of isometric actions on
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On the Recursive Sequence xn+1=A+xnp/xn−1p
This paper studies the boundedness, global attractivity, and periodicity of the positive solutions of the difference equation xn+1=A+xnp/xn−1p, n∈ℕ0, with p,A∈(0,∞).
Stevo Stevic
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Global boundedness of a class of multilinear Fourier integral operators
We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local ...
Salvador Rodríguez-López +2 more
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Global well-posedness and Turing–Hopf bifurcation of prey-taxis systems with hunting cooperation
This paper is concerned with a predator–prey system with hunting cooperation and prey-taxis under homogeneous Neumann boundary conditions. We establish the existence of globally bounded solutions in two dimensions.
Weirun Tao, Zhi-An Wang
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On the uniform boundedness of the solutions of systems of reaction-diffusion equations
We consider a system of reaction-diffusion equations for which the uniform boundedness of the solutions can not be derived by existing methods. The system may represent, in particular, an epidemic model describing the spread of an infection disease ...
L. Melkemi, Ahmed Mokrane, A. Youkana
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This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley +1 more source
Stochastic Logistic Systems with Jumps
This paper is concerned with a stochastic nonautonomous logistic model with jumps. In the model, the martingale and jump noise are taken into account. This model is new and more feasible and applicable.
Ruihua Wu, Ke Wang
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Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
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Uniform boundedness and extinction results of solutions to a predator–prey system
Global existence, positivity, uniform boundedness and extinction results of solutions to a system of reaction-diffusion equations on unbounded domain modeling two species on a predator–prey relationship is considered.
Mokhtar Kirane +2 more
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