Results 71 to 80 of about 126 (121)

Global Boundary Stabilization of the Korteweg-de Vries-Burgers Equation

open access: yes, 1998
The problem of global exponential stabilization by boundary feedback for the Korteweg-de Vries-Burgers equation on the domain [0; 1] is considered. We derive a control law of the form u(0) = u x (1) = u xx (1) \Gamma k[u(1) 3 + u(1)] = 0, where k is a ...
Wei-jiu Liu
core  

A degenerate cognitive model for a single species under toxicity

open access: yesEuropean Journal of Applied Mathematics
This paper studies a class of degenerate parabolic partial differential equation models that describe the dynamics of single-species populations with cognitive functions in toxic environments.
Xinyu Bo   +3 more
doaj   +1 more source

Cognitive diffusion of susceptibles driven by new infection cases in SIS epidemic models: frequency-dependent incidence

open access: yesEuropean Journal of Applied Mathematics
In this study, we develop epidemic reaction-diffusion models by incorporating the dependency of the diffusion rate of susceptible individuals on new infection cases, employing both Fickian and Fokker–Planck-type diffusion laws. As the first part of a two-
Guodong Liu, Hao Wang, Xiaoyan Zhang
doaj   +1 more source

Pattern formation with jump discontinuity in a predator–prey model with Holling-II functional response

open access: yesEuropean Journal of Applied Mathematics
This paper is focused on the existence and uniqueness of nonconstant steady states in a reaction–diffusion–ODE system, which models the predator–prey interaction with Holling-II functional response.
Gaihui Guo   +3 more
doaj   +1 more source

A geometric approach to pinned pulses in a class of non-autonomous reaction–diffusion equations

open access: yesEuropean Journal of Applied Mathematics
This paper develops a geometric and analytical framework for studying the existence and stability of pinned pulse solutions in a class of non-autonomous reaction–diffusion equations.
Yuanxian Chen, Jianhe Shen
doaj   +1 more source

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