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Usually gradual and continuous changes in entities will lead to appear events. But usually it is supposed that an event is occurred at once. In this research an integrated framework called continuous occurrence theory (COT) is presented to…

Artificial Intelligence · Computer Science 2016-11-14 Abdorrahman Haeri

The compartmentalization of distinct templates in protocells and the exchange of templates between them (migration) are key elements of a modern scenario for prebiotic evolution. Here we use the diffusion approximation of population…

Populations and Evolution · Quantitative Biology 2014-03-27 Jose F. Fontanari , Maurizio Serva

In complex ecological communities, species may self-organize into clusters or clumps where highly similar species can coexist. The emergence of such species clusters can be captured by the interplay between neutral and niche theories. Based…

Statistical Mechanics · Physics 2026-04-16 Shing Yan Li , Mehran Kardar , Zhijie Feng , Washington Taylor

Explaining biodiversity in nature is a fundamental problem in ecology. An outstanding challenge is embodied in the so-called Competitive Exclusion Principle: two species competing for one limiting resource cannot coexist at constant…

Populations and Evolution · Quantitative Biology 2020-04-13 Xin Wang , Yang-Yu Liu

Explaining coexistence in species-rich communities of primary producers remains a challenge for ecologists because of their likely competition for shared resources. Following Hutchinson's seminal suggestion, many theoreticians have tried to…

Populations and Evolution · Quantitative Biology 2019-04-25 Coralie Picoche , Frederic Barraquand

Population genetics theory has laid the foundations for genomics analyses including the recent burst in genome scans for selection and statistical inference of past demographic events in many prokaryote, animal and plant species.…

Populations and Evolution · Quantitative Biology 2014-01-22 Aurelien Tellier , Christophe Lemaire

In this paper I describe a cellular automaton model of a multi-species ecosystem, suitable for the study of emergent properties of macroevolution. Unlike majority of ecological models, the number of coexisting species is not fixed. Starting…

Populations and Evolution · Quantitative Biology 2009-09-23 Wojciech Borkowski

Predicting competitive outcomes typically requires fitting dynamical models to data, from which interaction strengths and coexistence indicators such as invasion criteria can be produced. Methods that allow to propagate parameter…

Populations and Evolution · Quantitative Biology 2025-04-10 Matthieu Paquet , Frédéric Barraquand

Explaining biodiversity is a fundamental issue in ecology. A long-standing puzzle lies in the paradox of the plankton: many species of plankton feeding on a limited variety of resources coexist, apparently flouting the competitive exclusion…

Populations and Evolution · Quantitative Biology 2025-06-18 Ju Kang , Shijie Zhang , Yiyuan Niu , Fan Zhong , Xin Wang

If two species exhibit different nonlinear responses to a single shared resource, and if each species modifies the resource dynamics such that this favors its competitor, they may stably coexist. This coexistence mechanism, known as…

Populations and Evolution · Quantitative Biology 2015-06-16 Florian Hartig , Tamara Münkemüller , Karin Johst , Ulf Dieckmann

Neutral theories have played a crucial and revolutionary role in fields such as population genetics and biogeography. These theories are critical by definition, in the sense that the overall growth rate of each single allele/species/type…

Statistical Mechanics · Physics 2015-06-23 Claudio Borile , Daniel Molina-Garcia , Amos Maritan , Miguel A. Muñoz

We propose a minimal model of the dynamics of diversity -- replicator equations with extinction, invasion and mutation. We numerically study the behavior of this simple model and show that it displays completely different behavior from the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kei Tokita , Ayumu Yasutomi

Coexistence of individuals with different species or phenotypes is often found in nature in spite of competition between them. Stable coexistence of multiple types of individuals have implications for maintenance of ecological biodiversity…

Disordered Systems and Neural Networks · Physics 2007-05-23 Naoki Masuda , Norio Konno

A hybrid percolation transition (HPT) exhibits both discontinuity of the order parameter and critical behavior at the transition point. Such dynamic transitions can occur in two ways: by cluster pruning with suppression of loop formation of…

Statistical Mechanics · Physics 2024-12-09 Hoyun Choi , Y. S. Cho , Raissa D'Souza , János Kertész , B. Kahng

In recent years, the growing availability of biomedical datasets featuring numerous longitudinal covariates has motivated the development of several multi-step methods for the dynamic prediction of survival outcomes. These methods employ…

Methodology · Statistics 2026-01-14 Mirko Signorelli , Sophie Retif

As a step toward a complete theoretical integration of 3D compressible hydrodynamic simulations into stellar evolution, convection at the surface and sub-surface layers of the Sun is re-examined, from a restricted point of view, in the…

Solar and Stellar Astrophysics · Physics 2014-11-20 W. David Arnett , Casey Meakin , Patrick A. Young

The role of species interactions in controlling the interplay between the stability of an ecosystem and its biodiversity is still not well understood. The ability of ecological communities to recover after a small perturbation of the…

Populations and Evolution · Quantitative Biology 2016-06-15 Jacopo Grilli , Matteo Adorisio , Samir Suweis , György Barabás , Jayanth R. Banavar , Stefano Allesina , Amos Maritan

This article partakes of the PEGASE project the goal of which is a better understanding of the mechanisms explaining the behaviour of species living in a network of forest patches linked by ecological corridors (hedges for instance).…

Probability · Mathematics 2021-09-15 Gauthier Delvoye , Olivier Goubet , Frédéric Paccaut

We introduce a mathematical model of symbiosis between different species by taking into account the influence of each species on the carrying capacities of the others. The modeled entities can pertain to biological and ecological societies…

Biological Physics · Physics 2012-06-06 V. I. Yukalov , E. P. Yukalova , D. Sornette

Ecological systems comprise an astonishing diversity of species that cooperate or compete with each other forming complex mutual dependencies. The minimum requirements to maintain a large species diversity on long time scales are in general…

Populations and Evolution · Quantitative Biology 2012-09-10 Joachim Mathiesen , Namiko Mitarai , Kim Sneppen , Ala Trusina