Results 31 to 40 of about 337 (161)

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

Slow–fast Bogdanov–Takens bifurcations

open access: yesJournal of Differential Equations, 2011
The paper deals with smooth families of slow-fast systems that represent a very general class of singular perturbation problems near a turning point. The authors introduce the notion of slow-fast Bogdanov-Takens bifurcation and provide a complete study of the perturbations from planar vector fields having a line of zeros, representing the singular ...
De Maesschalck, P., Dumortier, F.
openaire   +2 more sources

Bogdanov-Takens bifurcation in predator-prey systems

open access: yesDiscrete and Continuous Dynamical Systems - S, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zeng, Bing, Deng, Shengfu, Yu, Pei
openaire   +2 more sources

Feeding habits of the Middle Triassic pseudosuchian Batrachotomus kupferzellensis from Germany and palaeoecological implications for archosaurs

open access: yesPalaeontology, Volume 65, Issue 3, May/June 2022., 2022
Abstract Bite traces on fossil bones are key to deciphering feeding ecology and trophic interactions of vertebrate past ecosystems. However, similarities between traces produced by different carnivorous taxa with similar dentitions, and misidentifications due to equifinality, hinder confident identifications of the bite makers.
Eudald Mujal   +5 more
wiley   +1 more source

Bifurcation of an SIRS Model with a Modified Nonlinear Incidence Rate

open access: yesMathematics, 2023
An SIRS epidemic model with a modified nonlinear incidence rate is studied, which describes that the infectivity is strong at first as the emergence of a new disease or the reemergence of an old disease, but then the psychological effect will weaken the ...
Yingying Zhang, Chentong Li
doaj   +1 more source

Bifurcation analysis in a diffusive phytoplankton–zooplankton model with harvesting

open access: yesBoundary Value Problems, 2021
A diffusive phytoplankton–zooplankton model with nonlinear harvesting is considered in this paper. Firstly, using the harvesting as the parameter, we get the existence and stability of the positive steady state, and also investigate the existence of ...
Yong Wang
doaj   +1 more source

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

Dynamics of a Leslie-Gower predator-prey system with cross-diffusion

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2020
A Leslie–Gower predator–prey system with cross-diffusion subject to Neumann boundary conditions is considered. The global existence and boundedness of solutions are shown.
Rong Zou, Shangjiang Guo
doaj   +1 more source

Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting

open access: yesNonlinear 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
doaj   +1 more source

Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
In the paper, a predator-prey system with Beddington-DeAngelis functional response and constant rate harvesting is considered. Various dynamical behaviors of the system including saddle-node points and a cusp of codimension 2 are investigated by using ...
Jaeun Lee, Hunki Baek
doaj   +1 more source

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