Titlebook: Current Trends in Dynamical Systems in Biology and Natural Sciences; Maira Aguiar,Carlos Braumann,Ezio Venturino Book 2020 Springer Nature

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PC-Based Sensitivity Analysis of the Basic Reproduction Number of Population and Epidemic Models,al modelling the specification of the input parameters can be crucial since, due to some limitations in experimental data available, they can be uncertain and often represented as random quantities in a suitable probabilistic framework. In this context the Polynomial Chaos Expansions (PCEs), coupled

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Modelling Ecological Systems from a Niche Theory to Lotka-Volterra Equations,he explicit solution for the equilibrium probability distribution is a multinomial negative distribution and we discuss the relation between the detailed balance condition and relative species abundance distribution in the framework of Hubbell’s neutral theory. Moreover the theoretical distribution

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Accurate Recognition of Spatial Patterns Arising in Spatio-Temporal Dynamics of Invasive Species,ttern when it is required to distinguish between continuous and discontinuous (patchy) spatial structures. Furthermore, sensitivity of the pattern classification above to the definition of a monitoring protocol is discussed in the paper. Two basic properties of the monitoring protocol (i.e. the thre

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The Interplay Between Voluntary Vaccination and Reduction of Risky Behavior: A General Behavior-Impgical theory of the effects of behavioral responses within SIR models for endemic infections. In particular, the model allows to complete the picture about the complicate interplay between different behavioral responses acting on different epidemiological parameters in triggering sustained oscillati

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PC-Based Sensitivity Analysis of the Basic Reproduction Number of Population and Epidemic Models,. is defined as the spectral radius of the infinite-diminensional next generation operator. The efficiency and versatility of the numerical approach are confirmed by the experimental analysis of two examples of increasing complexity.

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