Results 21 to 30 of about 9,746 (134)
Equilibria and Bogdanov‐Takens Bifurcation Analysis in the Bazykin’s Predator‐Prey System
Discrete Dynamics in Nature and Society, Volume 2022, Issue 1, 2022., 2022 In the paper, we proposed a Bazykin’s predator‐prey system to explore the equilibrium point and Bogdanov‐Takens bifurcation problems. Firstly, we derived some key parameter threshold conditions to ensure that the Bazykin’s predator‐prey system had a multiple focus of multiplicity one, weak focus of order 2, cusps of codimension 2 and a degenerate ...
Shuangte Wang, Hengguo Yu, Chunrui Zhang
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The aim of this paper is to study the existence of (Q, T)‐affine‐periodic solutions for affine‐periodic systems on time scales of the type xΔ(t) = A(t)x(t) + f(t) and xΔt=Atxt+gt,xt,t∈T, assuming that corresponding homogeneous equation of this system admits exponential dichotomy.
Ruichao Guo +3 more
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Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021 In this paper, complex dynamical behaviors of a predator‐prey system with the Beddington–DeAngelis functional response and the Allee‐like effect on predator were studied by qualitative analysis and numerical simulations. Theoretical derivations have given some sufficient and threshold conditions to guarantee the occurrence of transcritical, saddle‐node,
Shuangte Wang, Hengguo Yu, Rodica Luca
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On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups [PDF]
Acta Arithmetica, 2021 In 1848 Ch.~Hermite asked if there exists some way to write cubic irrationalities periodically. A little later in order to approach the problem C.G.J.~Jacobi and O.~Perron generalized the classical continued fraction algorithm to the three-dimensional ...
O. Karpenkov
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The inverse Frobenius-Perron problem: A survey of solutions to the original problem formulation
AIMS Mathematics, 2021 The inverse Frobenius-Perron problem (IFPP) is a collective term for a family of problems that requires the construction of an ergodic dynamical system model with prescribed statistical characteristics.
A. McDonald, M. A. Wyk, Guanrong Chen
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A non-conservative Harris ergodic theorem [PDF]
, 2021 We consider non-conservative positive semigroups and obtain necessary and sufficient conditions for uniform exponential contraction in weighted total variation norm.
Bansaye, Vincent +3 more
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Discrete Dynamical Systems: A Brief Survey [PDF]
, 2018 Dynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems - integers, real numbers, complex numbers.
Fernandes, S. +4 more
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Recurrence and pressure for group extensions
, 2013 We investigate the thermodynamic formalism for recurrent potentials on group extensions of countable Markov shifts. Our main result characterises recurrent potentials depending only on the base space, in terms of the existence of a conservative product ...
Aaronson +12 more
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Symptoms of complexity in a tourism system [PDF]
, 2007 Tourism destinations behave as dynamic evolving complex systems, encompassing numerous factors and activities which are interdependent and whose relationships might be highly nonlinear.
Baggio, Rodolfo
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Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019 A formal description of typical compartmental epidemic models obtained is presented by splitting the state into an infective substate, or infective compartment, and a noninfective substate, or noninfective compartment. A general formal study to obtain the reproduction number and discuss the positivity and stability properties of equilibrium points is ...
M. De la Sen +4 more
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