Turnitin
降AI改写
早检测系统
早降重系统
Turnitin-UK版
万方检测-期刊版
维普编辑部版
Grammarly检测
Paperpass检测
checkpass检测
PaperYY检测
[ספר][B] Periodic differential equations in the plane: a topological perspective
R Ortega - 2019 - books.google.com
Periodic differential equations appear in many contexts such as in the theory of nonlinear
oscillators, in celestial mechanics, or in population dynamics with seasonal effects. The most …
oscillators, in celestial mechanics, or in population dynamics with seasonal effects. The most …
Global dynamics of a periodically forced SI disease model of Lotka–Volterra type
Y Song, L Niu - Physica D: Nonlinear Phenomena, 2024 - Elsevier
In this paper, we investigate the dynamics of an SI disease model of Lotka–Volterra type in
the presence of a periodically fluctuating environment. We give a global analysis of the …
the presence of a periodically fluctuating environment. We give a global analysis of the …
Global stability of higher dimensional monotone maps
We develop a notion of monotonicity for maps defined on Euclidean spaces R+ k, of arbitrary
dimension k. This is a geometric approach that extends the classical notion of planar …
dimension k. This is a geometric approach that extends the classical notion of planar …
Global dynamics of three-dimensional Lotka-Volterra competition models with seasonal succession: I. Classification of dynamics
The current series of two papers focus on a 3-dimensional Lotka-Volterra competition model
of differential equations with seasonal succession, which exhibits that populations …
of differential equations with seasonal succession, which exhibits that populations …
[HTML][HTML] Čech cohomology of attractors of discrete dynamical systems
FRR del Portal, JJ Sánchez-Gabites - Journal of Differential Equations, 2014 - Elsevier
Let f: R n→ R n be a homeomorphism and K an asymptotically stable attractor for f. The aim
of this paper is to study when the inclusion of K in its basin of attraction A (K) induces …
of this paper is to study when the inclusion of K in its basin of attraction A (K) induces …
Simple dynamics in non-monotone Kolmogorov systems
L Niu, A Ruiz-Herrera - Proceedings of the Royal Society of …, 2023 - cambridge.org
In this paper we analyse the global dynamical behaviour of some classical models in the
plane. Informally speaking we prove that the folkloric criteria based on the relative positions …
plane. Informally speaking we prove that the folkloric criteria based on the relative positions …
Geometric method for global stability of discrete population models
Z Hou - Discrete and Continuous Dynamical Systems (B …, 2020 - repository.londonmet.ac.uk
A class of autonomous discrete dynamical systems as population models for competing
species are considered when each nullcline surface is a hyperplane. Criteria are …
species are considered when each nullcline surface is a hyperplane. Criteria are …
A strategy to locate fixed points and global perturbations of ODE's: mixing topology with metric conditions
G Graff, A Ruiz-Herrera - Journal of Dynamics and Differential Equations, 2014 - Springer
In this paper we discuss a topological treatment for the planar system 0.1 z'= f (t, z)+ g (t, z)
z′= f (t, z)+ g (t, z) where f: R * R^ 2 ⟶ R^ 2 f: R× R 2⟶ R 2 and g: R * R^ 2 ⟶ R^ 2 g: R× R …
z′= f (t, z)+ g (t, z) where f: R * R^ 2 ⟶ R^ 2 f: R× R 2⟶ R 2 and g: R * R^ 2 ⟶ R^ 2 g: R× R …
[PDF][PDF] Global stability of a tridiagonal competition model with seasonal succession
X **e, M Chen - Mathematical Biosciences and Engineering, 2023 - aimspress.com
In this paper, we investigate a tridiagonal three-species competition model with seasonal
succession. The Floquet multipliers of all nonnegative periodic solutions of such a time …
succession. The Floquet multipliers of all nonnegative periodic solutions of such a time …
Understanding bacterial cheating: biological and practical implications
F Drubi, A Ruiz-Herrera - SIAM Journal on Applied Dynamical Systems, 2019 - SIAM
We study the population dynamics of two strains of bacteria that compete for a limited
nutrient and that are exposed to periodic doses of an antibiotic. One strain is resistant to the …
nutrient and that are exposed to periodic doses of an antibiotic. One strain is resistant to the …