Results 31 to 40 of about 136 (127)

Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model

Alexandria Engineering Journal, 2022
In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan, S.A.H. Bukhari, M.B. Almatrafi   +2 more
doaj   +1 more source

Algebraically decaying pulses in a Ginzburg-Landau system with a neutrally stable mode. [PDF]

, 2006
. In this paper, we study the existence and stability of pulse solutions in a system with interacting instability mechanisms, which is described by a Ginzburg-Landau equation for an A-mode, coupled to a diffusion equation for a B-mode.
Doelman, Arjen, Hek, G.M., Hek, G. (Geertje), Hek, Geertje, Valkhoff, N., Valkhoff, N.J.M., Doelman, A. (Arjen), Doelman, A.   +7 more
core   +2 more sources

Strong Stability of a Delayed Viscoelastic Timoshenko System With Fractional Time Delay and Two Fractional Boundary Controls

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The strong stability of the Timoshenko beam in viscoelastic systems with a fractional time delay and fractional boundary controls is a complex yet fascinating area of study. This work aims to investigate a mathematical model wherein nontrivial methods are used to solve for both quantitative and qualitative properties.
M. Bouariba Sadoun, A. Benaissa Cherif, R. Bentifour, S. M. Mirgani, M. B. Jeelani, K. Zennir, Mohamed A. Eltaher   +6 more
wiley   +1 more source

Critical Exponents of Semilinear Equations via the Feynman-Kac Formula [PDF]

, 2007
2000 Mathematics Subject Classification: 60H30, 35K55, 35K57 ...
T. Kolkovska, Ekaterina, Alfredo Lopez-Mimbela, Jose   +1 more
core  

Dynamical behaviour of an intraguild predator–prey model with prey refuge and hunting cooperation

Journal of Biological Dynamics, 2023
An intraguild predator–prey model including prey refuge and hunting cooperation is investigated in this paper. First, for the corresponding ordinary differential equation model, the existence and stability of all equilibria are given, and the existence ...
Xin-You Meng, Yan Feng
doaj   +1 more source

A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION

Forum of Mathematics, Sigma, 2020
We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving continuity of the solution ...
JOSÉ A. CARRILLO, KATRIN GRUNERT, HELGE HOLDEN   +2 more
doaj   +1 more source

Boundedness and stabilization in a three-species chemotaxis-competition system with singular sensitivity

Advances in Nonlinear Analysis
This paper deals with the following fully parabolic chemotaxis system with singular sensitivity and Lotka–Volterra competition kineticsut=Δu−χ1∇⋅uz∇z+μ1u(1−u−a12v−a13ω),x∈Ω,t>0,vt=Δv−χ2∇⋅vz∇z+μ2v(1−a21u−v−a23ω),x∈Ω,t>0,ωt=Δω−χ3∇⋅ωz∇z+μ3ω(1−a31u−a32v−ω),x∈
Zhu Zhangsheng
doaj   +1 more source

Implication of age-structure on the dynamics of Lotka Volterra equations

, 2019
2010 MSC : (35B35) 35B40 65M08 (65M25) 92D40 92D50 (92D25)International audienceIn this article, we study the behavior of a nonlinear age-structured predator-prey model that is a generalization of Lotka-Volterra equations.
Perasso, Antoine, Antoine Perasso, Richard, Quentin, Quentin Richard   +3 more
core   +1 more source

Stability and exponential decay for two-dimensional Boussinesq equations with partial viscosity and thermal diffusion

Advances in Nonlinear Analysis
In this work, we study the two-dimensional anisotropic Boussinesq equations, incorporating only horizontal dissipation in the tangential velocity and horizontal thermal diffusion. When the spatial domain is T×R $\mathbb{T}{\times}\mathbb{R}$ , this paper
Yu Tianyuan
doaj   +1 more source

GLOBAL NEARLY-PLANE-SYMMETRIC SOLUTIONS TO THE MEMBRANE EQUATION

Forum of Mathematics, Pi, 2020
We prove that any simple planar travelling wave solution to the membrane equation in spatial dimension $d\geqslant 3$ with bounded spatial extent is globally nonlinearly stable under sufficiently small compactly supported perturbations, where the ...
LEONARDO ABBRESCIA, WILLIE WAI YEUNG WONG   +1 more
doaj   +1 more source