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Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In the present paper, the SIR model with nonlinear recovery and Monod type equation as incidence rates is proposed and analyzed. The expression for basic reproduction number is obtained which plays a main role in the stability of disease‐free and endemic equilibria.
Ihsan Ullah Khan +4 more
wiley +1 more source
Bifurcação de bogdanov-takens em um modelo de sistema elétrico de potência [PDF]
, 2023 In this work is studied the Bogdanov-Takens bifurcation in an electric power system model consisting of a static compensator and two synchronous generators feeding an electric load compound of a static parcel and a dynamic parcel.
BRAGA, Denis de Carvalho
core
Towards global models near homoclinic tangencies of dissipative diffeomorphisms [PDF]
, 1998 A representative model of a return map near homoclinic bifurcation is studied. This model is the so-called fattened Arnold map, a diffeomorphism of the annulus. The dynamics is extremely rich, involving periodicity, quasiperiodicity and chaos. The method
Broer, H; id_orcid +6 more
core +1 more source
Bifurcation analysis in a diffusive phytoplankton–zooplankton model with harvesting
Boundary 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
A proof of Perko's conjectures for the Bogdanov-Takens system [PDF]
, 2013 International audienceThe 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.
Gasull, Armengol +3 more
core +4 more sources
Chaos in the Takens-Bogdanov bifurcation with O(2) symmetry [PDF]
, 2017 The Takens–Bogdanov bifurcation is a codimension two bifurcation that provides a key to the presence of complex dynamics in many systems of physical interest. When the system is translation invariant in one spatial dimension with no left-right preference
A. M. Rucklidge +3 more
core +1 more source
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
Dynamics of a Leslie-Gower predator-prey system with cross-diffusion
Electronic 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
Oscillations in three-reaction quadratic mass-action systems. [PDF]
Stud Appl MathAbstract It is known that rank‐two bimolecular mass‐action systems do not admit limit cycles. With a view to understanding which small mass‐action systems admit oscillation, in this paper we study rank‐two networks with bimolecular source complexes but allow target complexes with higher molecularities.
Banaji M, Boros B, Hofbauer J.
europepmc +2 more sources
Analytic invariants associated with a parabolic fixed point in C2 [PDF]
, 2008 It is well known that in a small neighbourhood of a parabolic fixed point a real-analytic diffeomorphism of (R2,0) embeds in a smooth autonomous flow.
Naudot, V., Gelfreich, Vassili
core +1 more source