Results 51 to 60 of about 592 (89)

NON-AUTONOMOUS BIFURCATION IN IMPULSIVE SYSTEMS

open access: yes, 2013
This is the first paper which considers non-autonomous bifurcations in impulsive differential equations. Impulsive generalizations of the non-autonomous pitchfork and transcritical bifurcation are discussed.
M. Akhmet, A. Kashkynbayev
semanticscholar   +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

A diffusive plant-sulphide model: spatio-temporal dynamics contrast between discrete and distributed delay

open access: yesEuropean Journal of Applied Mathematics
This paper studies the spatio-temporal dynamics of a diffusive plant-sulphide model with toxicity delay. More specifically, the effects of discrete delay and distributed delay on the dynamics are explored, respectively.
Yonghui Xia, Jianglong Xiao, Jianshe Yu
doaj   +1 more source

Dynamics near manifolds of equilibria of codimension one and bifurcation without parameters

open access: yes, 2010
We investigate the breakdown of normal hyperbolicity of a manifold of equilibria of a flow. In contrast to classical bifurcation theory we assume the absence of any flow-invariant foliation at the singularity transverse to the manifold of equilibria.
Liebscher, Stefan
core   +1 more source

Mathematical modelling of COVID-19 dynamics using SVEAIQHR model

open access: yesComputational and Mathematical Biophysics
In this study, we formulate an eight-compartment mathematical model with vaccination as one of the compartments to analyze the dynamics of COVID-19 transmission.
Venkatesh Ambalarajan   +4 more
doaj   +1 more source

Bifurcations of a modified Leslie–Gower predator–prey model with fear, Allee effect and hunting cooperation strategy

open access: yesJournal of Biological Dynamics
The fear preoften leads to changes in the physiological characteristics of the prey. Different stages of prey exhibit different physiological behaviours, such as susceptibility to predator risk, which often leads to Allee effect.
Weili Kong, Yuanfu Shao
doaj   +1 more source

Hunting cooperation in a prey–predator model with maturation delay

open access: yesJournal of Biological Dynamics
We investigate the dynamics of a prey–predator model with cooperative hunting among specialist predators and maturation delay in predator growth. First, we consider a model without delay and explore the effect of hunting time on the coexistence of ...
Yoichi Enatsu   +2 more
doaj   +1 more source

Sustainable harvesting strategy in an ecological competition model with interference

open access: yesJournal of Biological Dynamics
This paper examines a three-species ecological competition model with two predators and one prey, incorporating food-limited growth and both linear and quadratic harvesting strategies.
Peng Feng
doaj   +1 more source

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