Titlebook: Difference Equations, Discrete Dynamical Systems and Applications; IDCEA 2022, Gif-sur- Sorin Olaru,Jim Cushing,René Lozi Conference procee

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The Interplay Between Dispersal and?Allee Effects in?a?Two-Patch Discrete-Time Modelrgo an Allee effect. We assume that newborns do not disperse while other individuals in the population do. We first analyze the model without dispersal and demonstrate that, under certain conditions, the model exhibits two positive equilibria with both the extinction and larger positive equilibrium

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Krause Mean Processes Generated by?Off-Diagonally Uniformly Positive Nonautonomous Stochastic Hyper-Since then, consensus has emerged as a prevalent phenomenon in multi-agent systems and has been extensively studied in a diverse range of fields, including biology, physics, control engineering, and social science. The Krause mean process is a generalized model of opinion dynamics among many agents

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Discrete Dynamical Systems in?Economics: Two Seminal Models and?Their Developmentsing to multistability, i.e. the coexistence of several stable equilibria, with the related problem of the delimitation of basins of attraction, which requires a global dynamical analysis based on the method of critical curves. Moreover, in the particular case of identical players, some recent result

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The Interplay Between Dispersal and?Allee Effects in?a?Two-Patch Discrete-Time Modelwo attractors may be introduced into a patch that otherwise has continuous behavior. While the existence and stability of these equilibria is established theoretically for small dispersal proportions, it is shown through numerical simulation that this phenomena may also occur for large dispersal pro

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https://doi.org/10.1007/978-3-8351-9049-8ing to multistability, i.e. the coexistence of several stable equilibria, with the related problem of the delimitation of basins of attraction, which requires a global dynamical analysis based on the method of critical curves. Moreover, in the particular case of identical players, some recent result

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