Results 21 to 30 of about 599 (78)
Fast-slow dynamical approximation of forced impact systems near periodic solutions
Boundary Value Problems, 2013 We approximate impact systems in arbitrary finite dimensions with fast-slow dynamics represented by regular ODE on one side of the impact manifold and singular ODE on the other.
F. Battelli, Michal Feckan
semanticscholar +2 more sources
Impact of fear in a prey-predator system with herd behaviour
Computational and Mathematical Biophysics, 2021 Fear of predation plays an important role in the growth of a prey species in a prey-predator system. In this work, a two-species model is formulated where the prey species move in a herd to protect themselves and so it acts as a defense strategy.
Saha Sangeeta, Samanta Guruprasad
doaj +1 more source
Uniqueness in the Freedericksz transition with weak anchoring [PDF]
, 2009 In this paper we consider a boundary value problem for a quasilinear pendulum equation with nonlinear boundary conditions that arises in a classical liquid crystals setup, the Freedericksz transition, which is the simplest opto-electronic switch, the ...
Barbero +20 more
core +1 more source
Unilateral global bifurcation for p-Laplacian with singular weight
Journal of Inequalities and Applications, 2013 In this paper, we establish a Dancer-type unilateral global bifurcation theorem for the one-dimensional p-Laplacian with a singular weight which may not be in L1.
X. Liao, Guowei Dai
semanticscholar +2 more sources
Bifurcation diagrams of one-dimensional Kirchhoff-type equations
Advances in Nonlinear Analysis, 2022 We study the one-dimensional Kirchhoff-type equation −(b+a‖u′‖2)u″(x)=λu(x)p,x∈I≔(−1,1),u(x)>0,x∈I,u(±1)=0,-\left(b+a\Vert u^{\prime} {\Vert }^{2}){u}^{^{\prime\prime} }\left(x)=\lambda u{\left(x)}^{p},\hspace{1em}x\in I:= \left(-1,1),\hspace{1em}u\left ...
Shibata Tetsutaro
doaj +1 more source
Open Mathematics, 2019 In this paper, we show the existence of an S-shaped connected component in the set of radial positive solutions of boundary value ...
Xu Man, Ma Ruyun
doaj +1 more source
On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 56, Page 2971-2987, 2004., 2004 A four‐dimensional SEIR epidemic model is considered. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced three‐dimensional epidemic model. The boundedness, dissipativity, persistence, global stability, and Hopf‐Andronov‐Poincaré bifurcation for the four‐dimensional epidemic model are ...
M. M. A. El-Sheikh, S. A. A. El-Marouf
wiley +1 more source
Preface. Bifurcations and Pattern Formation in Biological Applications [PDF]
, 2016 In the preface we present a short overview of articles included in the issue "Bifurcations and pattern formation in biological applications" of the journal Mathematical Modelling of Natural ...
A. Morozov +27 more
core +2 more sources
Hopf bifurcations in a three-species food chain system with multiple delays
Open Mathematics, 2017 This paper is concerned with a three-species Lotka-Volterra food chain system with multiple delays. By linearizing the system at the positive equilibrium and analyzing the associated characteristic equation, the stability of the positive equilibrium and ...
Xie Xiaoliang, Zhang Wen
doaj +1 more source
Bifurcation analysis of HIV infection model with cell-to-cell transmission and non-cytolytic cure
Computational and Mathematical Biophysics, 2023 A mathematical model is proposed and discussed to study the effect of cell-to-cell transmission, the non-cytolytic process, and the effect of logistic growth on the dynamics of HIV in vivo.
Prakash Surya +2 more
doaj +1 more source