Basins of fixed points for composition of the Lotka-Volterra mappings and their classification

DOI10.1134/S1995080223020142zbMath1525.37042OpenAlexW4377230562MaRDI QIDQ6040390

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Publication date: 25 May 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223020142

zbMATH Keywords

attractorsimplextrajectoryrepellerbasins of attractorLotka-Volterra mapping

Mathematics Subject Classification ID

Epidemiology (92D30) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems in biology (37N25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75)

Cites Work

• One-dimensional bifurcations in some infinite-dimensional dynamical systems and ideal turbulence
• SEIR epidemiological model with varying infectivity and infinite delay
• Dynamical models of tuberculosis and their applications
• Dynamical properties of quadratic homeomorphisms of a finite-dimensional simplex
• QUADRATIC STOCHASTIC OPERATORS, LYAPUNOV FUNCTIONS, AND TOURNAMENTS
• On a necessary condition for the ergodicity of quadratic operators defined on the two-dimensional simplex
• An Introduction to Chaotic Dynamical Systems
• Discrete dynamical models on Wolbachia infection frequency in mosquito populations with biased release ratios
• Unnamed Item

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