Results 31 to 40 of about 1,883 (165)

Qualitative analysis of a model for co-culture of bacteria and amoebae

open access: yesMathematical Biosciences and Engineering, 2012
In this article we analyze a mathematical model presented in[11]. The model consists of two scalar ordinarydifferential equations, which describe the interaction betweenbacteria and amoebae.
Laura Fumanelli   +3 more
doaj   +1 more source

A Viral Infection Model with a Nonlinear Infection Rate

open access: yesBoundary Value Problems, 2009
A viral infection model with a nonlinear infection rate is constructed based on empirical evidences. Qualitative analysis shows that there is a degenerate singular infection equilibrium.
Yumei Yu   +3 more
doaj   +2 more sources

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

open access: yesMathematical 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
doaj   +1 more source

Modeling the dynamics of glacial cycles [PDF]

open access: yes, 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   +41 more
core   +2 more sources

Bifurcation analysis of a sheep brucellosis model with testing and saturated culling rate

open access: yesMathematical 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   +3 more
doaj   +1 more source

Bogdanov-Takens bifurcation of a polynomialdifferential system in biochemical reaction

open access: yesComputers & Mathematics with Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tang, Yilei, Zhang, Weinian
openaire   +1 more source

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

open access: yes, 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
core   +2 more sources

Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting

open access: yesAbstract 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

open access: yesMathematical 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
doaj   +1 more source

A proof of Perko's conjectures for the Bogdanov-Takens system

open access: yes, 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   +3 more
core   +3 more sources

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