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Existence of Steady States. Positive and Nontrivial Steady States
Let us consider in C n the nonlinear equation...
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Endotactic and strongly endotactic networks with infinitely many positive steady states
The dynamics exhibited by reaction networks is often a manifestation of their steady states. We show that there exists endotactic and strongly...
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Positive steady states of a class of power law systems with independent decompositions
Power law systems have been studied extensively due to their wide-ranging applications, particularly in chemistry. In this work, we focus on power...
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A network-based parametrization of positive steady states of power-law kinetic systems
Steady states are typically used to describe the long-term behaviors of chemical reaction networks (CRNs). In 2019, Johnston et al. developed a...
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Existence and Instability of Some Nontrivial Positive Steady States for the SKT Model with Double Cross Diffusion
This paper is concerned with the nonconstant positive steady states of the Shigesada-Kawasaki-Teramoto model for two competing species with double...
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Number of steady states of quantum evolutions
We prove sharp universal upper bounds on the number of linearly independent steady and asymptotic states of discrete- and continuous-time Markovian...
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A model on transition between steady states of sub-Keplerian accretion discs: implication for spectral states and hot corona above the disc
We present here a simple hydrodynamic model based on a sequence of steady states of the inner sub-Keplerian accretion disc to understand its...
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Nonconstant Steady States of a Rumor Propagation Model
This paper reports some qualitative results of a diffusive rumor propagation model with homogeneous no-flux boundary conditions. Firstly, the...
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Nonconstant Steady States in a Predator–Prey System with Density-Dependent Motility
We investigate the existence, structure and stability of the nonconstant steady states for a predator–prey system with density-dependent motility...
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Steady States of a Diffusive Population-Toxicant Model with Negative Toxicant-Taxis
This paper is dedicated to studying the steady state problem of a population-toxicant model with negative toxicant-taxis, subject to homogeneous...
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Positive Classical Solutions of Dirichlet Problem for the Steady Relativistic Heat Equation
In this paper, for a bounded C 2 domain, we prove the existence and uniqueness of positive classical solutions to the Dirichlet problem for the steady...
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Assumptions on decision making and environment can yield multiple steady states in microbial community models
BackgroundMicrobial community simulations using genome scale metabolic networks (GSMs) are relevant for many application areas, such as the analysis...
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Emergent second law for non-equilibrium steady states
The Gibbs distribution universally characterizes states of thermal equilibrium. In order to extend the Gibbs distribution to non-equilibrium steady...
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Do Countries Converge to Their Steady States at Different Rates?
Recent literature revisits cross-country convergence patterns over the last six decades. Whilst the debate has been about unconditional or...
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Steady states of a diffusive Lotka–Volterra system with fear effects
In this paper, we focus on the dynamical properties of a diffusive Lotka–Volterra system with fear effects subjected to the Neuman boundary condition...
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Steady states of a diffusive predator-prey model with prey-taxis and fear effect
In this paper, a diffusive predator-prey system with a prey-taxis response subject to Neumann boundary conditions is considered. The stability, the...
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The Multiplicity of Steady States in a Two-Step Catalytic Reaction Linear with Respect to the Intermediates
AbstractThe multiplicity of steady states (MSS) in a chemical reaction is a critical phenomenon at which the steady-state kinetic curve of the...
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Steady States of Residual and Deltaic Sands
A programme of consolidated undrained triaxial shear tests is conducted on two residual and deltaic sands of similar size and different shape. Dry...
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Keller–Segel System: A Survey on Radial Steady States
In this chapter, we survey recent results on the construction and analysis of radial steady-state solutions to the Keller–Segel system.
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Steady states of holographic interfaces
We find stationary thin-brane geometries that are dual to far-from-equilibrium steady states of two-dimensional holographic interfaces. The flow of...