Results 11 to 20 of about 377 (37)

Bifurcation in a G0 Model of Hematological Stem Cells With Delay

open access: yesAbstract and Applied Analysis
JEL Classification: 34C25, 34K18 ...
Ma Suqi, S. J. Hogan
doaj   +2 more sources

Modelling, Analysis and Calculation of Cerebral Hemodynamics

open access: yesComputational and Mathematical Methods in Medicine, Volume 8, Issue 3, Page 205-223, 2007., 2007
Mathematical models of cerebral hemodynamics, applicable to humans and rats have been developed and analysed with the purpose of reaching a deeper insight to which degree experimental results on rats can be extrapolated to humans and to clinical management of patients. These models include regulation mechanisms involving the small cerebral arteries and
Silvia Daun, Thorsten Tjardes
wiley   +1 more source

A delayed mathematical model for testosterone secretion with feedback control mechanism

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 3, Page 105-115, 2004., 2004
A mathematical model describing the biochemical interactions of the luteinizing hormone (LH), luteinizing hormone‐releasing hormone (LHRH), and testosterone (T) is presented. The model structure consists of a negative feedback mechanism with transportation and secretion delays of different hormones. A comparison of stability and bifurcation analysis in
Banibrata Mukhopadhyay   +1 more
wiley   +1 more source

A nonlinear two‐species oscillatory system: bifurcation and stability analysis

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 31, Page 1981-1991, 2003., 2003
The present paper dealing with the nonlinear bifurcation analysis of two‐species oscillatory system consists of three parts. The first part deals with Hopf‐bifurcation and limit cycle analysis of the homogeneous system. The second consists of travelling wave train solution and its linear stability analysis of the system in presence of diffusion.
Malay Bandyopadhyay   +2 more
wiley   +1 more source

Diffusive instability in a prey‐predator system with time‐dependent diffusivity

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 66, Page 4195-4203, 2003., 2003
An ecological model for prey‐predator planktonic species has been considered, in which the growth of prey has been assumed to follow a Holling type II function. The model consists of two reaction‐diffusion equations and we extend it to time‐varying diffusivity for plankton population.
Rakhi Bhattacharyya   +2 more
wiley   +1 more source

Parametrically excited nonlinear systems: a comparison of two methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 12, Page 739-761, 2002., 2002
Subharmonic resonance of two‐degree‐of‐freedom systems with cubic nonlinearities to multifrequency parametric excitations in the presence of three‐to‐one internal resonance is investigated. Two approximate methods (the multiple scales and the generalized synchronization) are used to construct a first‐order nonlinear ordinary differential equations ...
A. F. El-Bassiouny
wiley   +1 more source

Shift of bifurcation point due to noise induced parameter

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 435-439, 2000., 2000
The object of the paper is to see the effect of small stochastic parametric perturbation on a nonlinear interacting system exhibiting Hopf bifurcation. The method is based on the technique of Markov diffusion approximation.
Sandip Banerjee   +2 more
wiley   +1 more source

Periodic solutions of second order Hamiltonian systems bifurcating from infinity [PDF]

open access: yes, 2006
The goal of this article is to study closed connected sets of periodic solutions, of autonomous second order Hamiltonian systems, emanating from infinity. The main idea is to apply the degree for SO(2)-equivariant gradient operators defined by the second
Adams   +26 more
core   +3 more sources

Computation of periodic solution bifurcations in ODEs using bordered systems [PDF]

open access: yes, 2002
We consider numerical methods for the computation and continuation of the three generic secondary periodic solution bifurcations in autonomous ODEs, namely the fold, the period-doubling (or flip) bifurcation, and the torus (or Neimark–Sacker) bifurcation.
Doedel, E. J.   +2 more
core   +2 more sources

Periodic bifurcation from families of periodic solutions for semilinear differential equations with Lipschitzian perturbations in Banach spaces

open access: yes, 2007
Let A:D(A)\to E be an infinitesimal generator either of an analytic compact semigroup or of a contractive C_0-semigroup of linear operators acting in a Banach space E.
Kamenskii, Mikhail   +2 more
core   +1 more source

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