Zobrazeno 1 - 10
of 2 043
pro vyhledávání: '"Biological applications of bifurcation theory"'
Publikováno v:
Ain Shams Engineering Journal, Vol 9, Iss 4, Pp 1263-1277 (2018)
In the present article, a modified Leslie-Gower predator-prey model with double Allee effect, affecting the prey population, is proposed and analyzed. We have considered both strong and weak Allee effects separately. The equilibrium points of the sys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a57b4984c92f5caaba7bef2ff5683cad
http://www.sciencedirect.com/science/article/pii/S2090447916301095
http://www.sciencedirect.com/science/article/pii/S2090447916301095
Autor:
Chiaki Matsuda, Hiroyuki Torikai
Publikováno v:
IEEE Transactions on Circuits and Systems II: Express Briefs. 65:1738-1742
A piece-wise constant (PWC) neuron model is an electronic circuit neuron model, which has a PWC vector field. In this brief, a novel generalized PWC neuron model is presented in order to reproduce fundamental bifurcation mechanisms of bursting observ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::090b0274c2aef56a9aa7275c29ab8cf2
https://doi.org/10.1109/tcsii.2017.2760509
https://doi.org/10.1109/tcsii.2017.2760509
Publikováno v:
Physica B: Condensed Matter. 549:87-90
We introduce a normal form for the equation which describes nonlinear oscillations of spin-torque nano-oscillators (STNO). The general form of the equation might be reduced to the equation for STNO with uniformly magnetized free layer or to the equat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f21aecff6cc36934eb42b395a34399de
https://doi.org/10.1016/j.physb.2017.10.021
https://doi.org/10.1016/j.physb.2017.10.021
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 57:1-13
This paper is comprehensively concerned with the dynamics of a class of high-dimension fractional ring-structured neural networks with multiple time delays. Based on the associated characteristic equation, the sum of time delays is regarded as the bi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d144ae6e472a0c2fbadc8968454af23
https://doi.org/10.1016/j.cnsns.2017.09.005
https://doi.org/10.1016/j.cnsns.2017.09.005
Autor:
Di Wu, Wenbin Yang
Publikováno v:
Nonlinear Analysis: Real World Applications. 39:396-410
This paper is concerned with the inflammatory process model resulting in the development of atherosclerosis subject to no-flux boundary conditions. The dissipation and persistence of the system are obtained. The steady-state bifurcations are also stu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b06158b20bc01a78272be78b0d7aef9a
https://doi.org/10.1016/j.nonrwa.2017.07.011
https://doi.org/10.1016/j.nonrwa.2017.07.011
Publikováno v:
Neurocomputing. 275:677-686
In this paper, we propose a novel fractional-order two-gene regulatory network model with delays, which can describe the memory and hereditary properties of genetic regulatory networks more suitably. It is the first time that the dynamics of the stab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e709e1b2ef26af9888eb3825efcf2e8
https://doi.org/10.1016/j.neucom.2017.09.018
https://doi.org/10.1016/j.neucom.2017.09.018
Publikováno v:
Chaos, Solitons & Fractals. 106:193-200
In this paper, we study the bifurcation and stability of a ratio-dependent predator-prey model with nonconstant predator harvesting rate. The analysis is carried out both analytically and numerically. We determine stability and dynamical behaviours o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64f42022e50ae7ba9470e6783d746765
https://doi.org/10.1016/j.chaos.2017.10.023
https://doi.org/10.1016/j.chaos.2017.10.023
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 53:202-212
In this paper, a discrete rational fration population model with the Dirichlet boundary conditions will be considered. According to the discrete maximum principle and the sub- and supper-solution method, the necessary and sufficient conditions of uni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34bc9134a55315bf33aafde0f113364c
https://doi.org/10.1016/j.cnsns.2017.04.025
https://doi.org/10.1016/j.cnsns.2017.04.025
Autor:
Qamar Din
Publikováno v:
Journal of Mathematical Chemistry. 56:904-931
In this paper, the qualitative behavior of two discrete-time glycolysis models is discussed. The discrete-time models are obtained by implementing forward Euler’s scheme and nonstandard finite difference method. The parametric conditions for local
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc13dc1052226175576a455bacddfeb2
https://doi.org/10.1007/s10910-017-0839-4
https://doi.org/10.1007/s10910-017-0839-4
Publikováno v:
Journal of the Franklin Institute. 354:7643-7667
Bifurcation and control of fractional-order systems are still an outstanding problem. In this paper, a novel delayed fractional-order model of small-world networks is introduced and several topics related to the dynamics and control of such a network
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c5a727dcec800e0be6a2ad014c7e4a2
https://doi.org/10.1016/j.jfranklin.2017.09.009
https://doi.org/10.1016/j.jfranklin.2017.09.009