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Lyapunov Stability as a Metric for Meaning in Biological Systems
The physical and relational structure of the biologic continuum (both internal and external to the organism) creates the information signature that...
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A preference for link operator functions can drive Boolean biological networks towards critical dynamics
Boolean modelling is a powerful framework to understand the operating principles of biological networks. The regulatory logic between biological...
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A hybrid dynamical system approach to predicting the resilience of community dynamics with seasonal migrations under climate change
Migratory species have the potential to strongly mediate stability of resident communities. However, the seasonal nature of their interactions has...
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Hierarchy of Ecological Homeostasis as a Principle of Systemology
Abstract —The broad concept of “homeostasis” in relation not only to organisms, but also to populations, ecosystems, and socio–ecological and economic...
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Chiropterans (Chiroptera) in Lake–River Systems of Northern European Russia
AbstractIn 2016–2020, we studied the species composition and distribution of chiropterans in the Republic of Karelia and Arkhangelsk oblast, as well...
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From Lotka–Volterra to Arditi–Ginzburg: 90 Years of Evolving Trophic Functions
AbstractThe trophic function, often called a “functional response,” determines qualitative properties in models of predator–prey dynamics. Many of...
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Contrast Sensitivity and Ocular Microtremor: A Model Study of Gravity Effects on Visual Perception
AbstractAn assessment was made of visual contrast sensitivity and tremor micromovements of the eyes under conditions of “dry” immersion (DI), which...
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Computational Approaches and Tools as Applied to the Study of Rhythms and Chaos in Biology
The temporal dynamics in biological systems displays a wide range of behaviors, from periodic oscillations, as in rhythms, bursts, long-range...
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Systems and Networks
Just as we are often interested in events that are composed of many elementary (simple) events, in biology the objects under scrutiny are vastly...
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On Matrix Stability and Ecological Models
The aim of this chapter is to survey a variety of concepts and results from matrix stability that are relevant to applications in mathematical...
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On a population model with density dependence and Allee effect
We study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton–Holt-type map and...
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Coexistence, dispersal and spatial structure in metacommunities: a stochastic model approach
We propose a stochastic model for interacting species in a metacommunity in order to study the factors affecting the intensity of the...
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Why Do Big Data and Machine Learning Entail the Fractional Dynamics?
Chapter 2 explores the fundamental question of why big data and machine learning inherently involve...
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Evaluation model of ecological economic benefits based on discrete mathematical algorithm
In this this paper, an evaluation index system was constructed to standardize the evaluation index of ecological economic benefit considering the...
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Qualitative Analysis for Continuous Time Model
This chapter provides the important least knowledge about the fundamental mathematical theories to understand or find the dynamical nature of...
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Modeling for Prey-Predator Relation
This chapter is about the prey-predator dynamics model that is very popular topics in ecology and mathematical biology. In this book, we shall see...
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Stationary distribution and density function analysis of SVIS epidemic model with saturated incidence and vaccination under stochastic environments
In this article, we study the dynamical properties of susceptible-vaccinated-infected-susceptible (SVIS) epidemic system with saturated incidence...
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Dictys: dynamic gene regulatory network dissects developmental continuum with single-cell multiomics
Gene regulatory networks (GRNs) are key determinants of cell function and identity and are dynamically rewired during development and disease....
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Qualitative Analysis for Discrete Time Model
In this section, some mathematical equipments are introduced for the qualitative analysis on the one dimensional discrete time model, which are...
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Psychophysiological Indicators of Postural Control. Contribution of the Russian Scientific School. Part I
Abstract —This article aimed to systematically review the published results of studies of psychophysiological mechanisms of posture maintenance and...