Results 21 to 30 of about 95 (93)

The jump phenomenon associated with the dynamics of the duffing equation

open access: yesPhysics Open, 2020
The mathematical nature of the jump phenomenon associated with the damped, harmonically forced Duffing equation is investigated, as regards the amplitude of the harmonic response of the system.
M.P. Markakis
doaj   +1 more source

Global structure of positive and sign-changing periodic solutions for the equations with Minkowski-curvature operator

open access: yesAdvanced Nonlinear Studies
We show the existence of unbounded connected components of 2π-periodic positive solutions for the equations with one-dimensional Minkowski-curvature operator −u′1−u′2′=λa(x)f(u,u′),x∈R, $-{\left(\frac{{u}^{\prime }}{\sqrt{1-{u}^{\prime 2}}}\right ...
Ma Ruyun, Zhao Zhongzi, Su Xiaoxiao
doaj   +1 more source

Dynamical Behavior of a Tumor‐Immune Model With Vitamin Intervention

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The interaction between the immune system and tumor cells is influenced by various biological and environmental factors. In this study, we develop a novel mathematical model to investigate how an effective vitamin‐related intervention may modulate the immune response.
Akila Nasri   +2 more
wiley   +1 more source

Bifurcation and Global Stability of a SEIRS Model With a Modified Nonlinear Incidence Rate

open access: yesJournal of Applied Mathematics, Volume 2024, Issue 1, 2024.
In this work, a SEIRS (susceptible–exposed–infected–recovered–susceptible) model with modified nonlinear incidence rate is considered. The incidence rate illustrates how the number of infected individuals initially increases at the onset of a disease, subsequently decreases due to the psychological effect, and ultimately reaches saturation due to the ...
Shilan Amin   +4 more
wiley   +1 more source

MULTIPLE SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR EQUATIONS WITH CRITICAL POINTS∗ [PDF]

open access: yes, 2005
. We consider first two the second order autonomous differential equations with critical points, which allow for detecting an exact number of solutions to the Dirichlet boundary value problem.
Ogorodnikova, Svetlana   +1 more
core  

Classification of the Solutions of Semilinear Elliptic Problems in a Ball

open access: yes, 2000
In this paper we fully describe the set of the positive and nodal (regular and singular) radial solutions of the superlinear elliptic P.D.E. \Gamma\Deltau = u + juj p\Gamma1 u in B 1 ; u = 0 on @B 1 ; p ? 1 ; (1) without restriction on the range of 2
Dolbeault, Jean   +9 more
core   +1 more source

Global periodic solutions in a plankton-fish interaction model with toxication delay

open access: yesNonlinear Engineering, 2018
In this paper, a plankton-fish interaction model is proposed and analyzed with the help of delay differential equations. Firstly, the elementary dynamical properties of the system in the absence of time delay is discussed.
Sharma Amit
doaj   +1 more source

A model of competing species that exhibits zip bifurcation

open access: yesRevista Integración, 2017
The purpose of this paper is to present a concrete model of competing population species that exhibits a phenomenon called zip bifurcation. The Zip Bifurcation was introduced by Farkas in 1984 for a three dimensional ODE prey-predator system describing a
Luis F. Echeverri   +2 more
doaj   +1 more source

Bifurcation analysis of a nonlinear diffusion model: Effect of evaluation period for the diffusion of a technology

open access: yesArab Journal of Mathematical Sciences, 2019
A nonlinear modified form of Bass model involving the interactions of non-adopter and adopter populations has been proposed to describe the process of diffusion of a new technology in the presence of evaluation period (time delay).
Rakesh Kumar   +2 more
doaj   +1 more source

Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems

open access: yesOpen Mathematics
Consider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
doaj   +1 more source

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