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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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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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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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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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Spatio-Temporal Steady-State Analysis in a Prey-Predator Model with Saturated Hunting Cooperation and Chemotaxis
In this paper, we propose a diffusive prey-predator model with saturated hunting cooperation and predator-taxis. We first establish the global...
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Nonstaggered Central Scheme Under Steady-State Discretization for Solving the Ripa Model
The paper proposed the moving-water equilibrium nonstaggered central scheme for the Ripa model via the flux globalization. The traditional quadrature...
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The Stability of Nontrivial Positive Steady States for the SKT Model with Large Cross Diffusion
This paper is concerned with the existence and stability of steady state solutions for the SKT biological competition model with cross-diffusion.
By...
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Quorum-sensing induced transitions between bistable steady-states for a cell-bulk ODE-PDE model with lux intracellular kinetics
Intercellular signaling and communication are used by bacteria to regulate a variety of behaviors. In a type of cell-cell communication known as...
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Max-plus steady states in discrete event dynamic systems with inexact data
Max-plus algebra is defined as the set of all real numbers with two binary operations (maximum and addition). This combination of the operations...
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On Linearly Unstable Steady States of an MHD Model of an Incompressible Polymeric Fluid in the Case of Absolute Conductivity
AbstractWe study linear stability of steady states for a certain generalization (namely, nonisothermal flows under the influence of magnetic field)...
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Global Stability to Steady Supersonic Rayleigh Flows in One-Dimensional Duct
Heat exchange plays an important role in hydrodynamical systems, which is an interesting topic in theory and application. In this paper, the authors...
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Distinguishing Between Long-Transient and Asymptotic States in a Biological Aggregation Model
Aggregations are emergent features common to many biological systems. Mathematical models to understand their emergence are consequently widespread,...
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Desingularization of 3D steady Euler equations with helical symmetry
In this paper, we study desingularization of steady solutions of 3D incompressible Euler equation with helical symmetry in a general helical domain....
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Analysis on Steady States of a Competition System with Nonlinear Diffusion Terms
Competition is a fundamental force sha** population size and structure as a result of limited availability of resources. In biomathematics, the...
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Equilibria and Steady States
Mathematical models of dynamical systems often take the general formDifferential equationsystems of first-order where the...
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Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect
A general time-delay reaction–diffusion–advection system with the Dirichlet boundary condition and spatial heterogeneity is investigated in this...
