Results 31 to 40 of about 1,852 (142)

Bifurcation analysis in a Holling-Tanner predator-prey model with strong Allee effect

Mathematical Biosciences and Engineering, 2023
In this paper, we analyze the bifurcation of a Holling-Tanner predator-prey model with strong Allee effect. We confirm that the degenerate equilibrium of system can be a cusp of codimension 2 or 3.
Yingzi Liu, Zhong Li, Mengxin He
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Modeling the dynamics of glacial cycles [PDF]

, 2017
This article is concerned with the dynamics of glacial cycles observed in the geological record of the Pleistocene Epoch. It focuses on a conceptual model proposed by Maasch and Saltzman [J. Geophys. Res.,95, D2 (1990), pp.
A Khibnik, B Saltzman, B Saltzman, D Paillard, D Paillard, D Paillard, DZ Sun, EJ Doedel, EJ Doedel, G Dangelmayr, H Engler, H Poincaré, H Treut Le, HA Dijkstra, HW Broer, J Carr, J Guckenheimer, J Imbrie, J Laskar, J Marshall, JD Hayes, JR Petit, KA Maasch, KH Cook, M Crucifix, M Ghil, M Milankovič, M Raymo, NJ Shackleton, P Ashwin, P Clark, P Huybers, P Huybers, P Huybers, R Cushman, RI Bogdanov, S Rutherford, V Arnold, V Melnikov, Y Ashkenazy, YA Kuznetsov, YA Kuznetsov   +41 more
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Bifurcation analysis of a sheep brucellosis model with testing and saturated culling rate

Mathematical Biosciences and Engineering, 2023
Testing-culling is a very effective measure for the prevention and control of animal diseases. In this paper, based on sheep brucellosis control policies and animal testing characteristics and considering the limitation of culling resources, a dynamic ...
Yongbing Nie, Xiangdong Sun, Hongping Hu, Qiang Hou   +3 more
doaj   +1 more source

Bifurcation analysis of a semiconductor laser with filtered optical feedback [PDF]

, 2006
We study the dynamics and bifurcations of a semiconductor laser with delayed filtered optical feedback, where a part of the output of the laser reenters after spectral filtering. This type of coherent optical feedback is more challenging than the case of
Erzgraber, H, Krauskopf, B, Lenstra, D
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Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting

Abstract and Applied Analysis, 2013
The bifurcation properties of a predator prey system with refuge and constant harvesting are investigated. The number of the equilibria and the properties of the system will change due to refuge and harvesting, which leads to the occurrence of several ...
Xia Liu, Yepeng Xing
doaj   +1 more source

Bifurcation analysis of a wild and sterile mosquito model

Mathematical Biosciences and Engineering, 2019
The bifurcation of an ordinary differential equation model describing interaction of the wild and the released sterile mosquitoes is analyzed.
Xiaoli Wang, Junping Shi, Guohong Zhang
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Bogdanov–Takens Bifurcation in a Shape Memory Alloy Oscillator with Delayed Feedback

Complexity, 2020
This work is focused on a shape memory alloy oscillator with delayed feedback. The main attention is to investigate the Bogdanov–Takens (B-T) bifurcation by choosing feedback parameters A1,2 and time delay τ.
Jinbin Wang, Lifeng Ma
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A proof of Perko's conjectures for the Bogdanov-Takens system

, 2013
The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove the Perko's conjectures about some analytic properties of the saddle-loop
Gasull, Armengol, Giacomini, Hector, Perez-Gonzalez, Set, Torregrosa, Joan   +3 more
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Effects of a localized beam on the dynamics of excitable cavity solitons [PDF]

, 2008
We study the dynamical behavior of dissipative solitons in an optical cavity filled with a Kerr medium when a localized beam is applied on top of the homogeneous pumping.
Blagorodnova, N., Bue, B. D., Cenko, S. B., Cook, D. O., De Cia, A., Fransson, C., Fremling, C. U., Gal-Yam, A., Gatkine, P., Kasliwal, M. M., Kulkarni, S. R., Leloudas, G., Lunnan, R., Masci, F. J., Nugent, P. E., Nyholm, A., Perley, D. A., Quimby, R. M., Rubin, A., Suzuki, N., Vreeswijk, P. M., Woosley, S. E., Wozniak, P., Yan, Lin   +23 more
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Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting

Nonlinear Analysis
This paper investigates the effect of fear effect and constant-type harvesting on the dynamic of a Leslie–Gower predator–prey model. Initially, an analysis is carried out to identify all potential equilibria and evaluate their stability.
Chenyang Huangfu, Zhong Li
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