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Ecological resilience refers to the ability of a system to retain its state when subject to state variables perturbations or parameter changes. While understanding and quantifying resilience is crucial to anticipate the possible regime…

动力系统 · 数学 2019-05-10 Artur César Fassoni , Denis de Carvalho Braga

In this paper, we consider a nonlinear interaction system between the barotropic mode and the first baroclinic mode of the tropical atmosphere with moisture; that was derived in [Frierson, D.M.W.; Majda, A.J.; Pauluis, O.M.: Dynamics of…

偏微分方程分析 · 数学 2016-08-24 Jinkai Li , Edriss S. Titi

Joint species distribution models are popular in ecology for modeling covariate effects on species occurrence, while characterizing cross-species dependence. Data consist of multivariate binary indicators of the occurrences of different…

统计方法学 · 统计学 2025-07-08 Federica Stolf , David B. Dunson

Pattern formation mechanisms of a reaction-diffusion-advection system, with one diffusivity, differential advection, and (Robin) boundary conditions of Danckwerts type, are being studied. Pattern selection requires mapping the domains of…

斑图形成与孤子 · 物理学 2009-11-23 Arik Yochelis , Moshe Sheintuch

We discuss the construction of robust preconditioners for finite element approximations of Biot's consolidation model in poroelasticity. More precisely, we study finite element methods based on generalizations of the Hellinger-Reissner…

数值分析 · 数学 2017-03-24 Trygve Baerland , Jeonghun J. Lee , Kent-Andre Mardal , Ragnar Winther

Regular vine copulas can describe a wider array of dependency patterns than the multivariate Gaussian copula or the multivariate Student's t copula. This paper presents two contributions related to model selection of regular vine copulas.…

统计理论 · 数学 2015-12-04 Lutz Gruber , Claudia Czado

Motivated by structured parasite populations in aquaculture we consider a class of size-structured population models, where individuals may be recruited into the population with distributed states at birth. The mathematical model which…

偏微分方程分析 · 数学 2019-03-25 Jozsef Z. Farkas , Darren Green , Peter Hinow

We present novel analytical results about ecosystem species diversity that stem from a proposed coarse grained neutral model based on birth-death processes. The relevance of the problem lies in the urgency for understanding and synthesizing…

种群与进化 · 定量生物学 2015-06-05 Samir Suweis , Andrea Rinaldo , Amos Maritan

Living organisms rely on molecular networks, such as gene circuits and signaling pathways, for information processing and robust decision-making in crowded, noisy environments. Recent advances show that interacting biomolecules…

Near the beginning of the century, Wright and Fisher devised an elegant, mathematically tractable model of gene reproduction and replacement that laid the foundation for contemporary population genetics. The Wright-Fisher model and its…

概率论 · 数学 2013-12-23 Todd L. Parsons

Pristine coastal shallow systems are usually dominated by extensive meadows of seagrass species, which are assumed to take advantage of nutrient supply from sediment. An increasing nutrient input is thought to favour phytoplankton,…

种群与进化 · 定量生物学 2009-11-04 J. M. Zaldivar , F. S. Bacelar , S. Dueri , D. Marinov , P. Viaroli , E. Hernandez-Garcia , .

Bacteria often develop distinct phenotypes to adapt to environmental stress. In particular, they can produce biofilms, dense communities of bacteria that live in a complex extracellular matrix. Bacterial biofilms provide a safe haven from…

We propose a model of multispecies populations surviving on distributed resources. System dynamics are investigated under changes in abiotic factors such as the climate, as parameterized through environmental temperature. In particular, we…

种群与进化 · 定量生物学 2017-10-25 I. Sudakov , S. A. Vakulenko , D. Kirievskaya , K. M. Golden

We model and study the patterns created through the interaction of collectively moving self-propelled particles (SPPs) and elastically tethered obstacles. Simulations of an individual-based model reveal at least three distinct large-scale…

The theory of evolving natural configurations is an effective technique to model dissipative processes. In this paper, we use this theory to revisit nonlinear constitutive models of viscoelastic solids. Particularly, a Maxwell and a…

软凝聚态物质 · 物理学 2025-08-08 Tarun Singh , Sandipan Paul

Developmental constraints have been postulated to limit the space of feasible phenotypes and thus shape animal evolution. These constraints have been suggested to be the strongest during either early or mid-embryogenesis, which corresponds…

种群与进化 · 定量生物学 2013-03-14 Barbara Piasecka , Pawel Lichocki , Sebastien Moretti , Sven Bergmann , Marc Robinson-Rechavi

In the present article we consider the Schelling model, an agent-based model describing a segregation dynamics when we have a cohabitation of two social groups. As for several social models, the behaviour of the Schelling model was analyzed…

概率论 · 数学 2024-01-10 Florent Barret , Niccolo Torri

The problem of evolutionary complexification of life is considered one of the fundamental aspects in contemporary evolutionary theory. Parasitism is ubiquitous, inevitable, and arises as soon as the first replicators appear, even during the…

分子网络 · 定量生物学 2024-01-01 Alexander Spirov

Spatial patterning and synchronization are pervasive features of plankton communities, yet the mechanisms that allow such patterns to persist coherently under environmental noise remain unresolved. In vertically structured aquatic…

斑图形成与孤子 · 物理学 2026-03-26 Ju Kang , Yiyuan Niu , Yuanzhi Li , Quan-Xing Liu , Chengjin Chu

Since its introduction in 1952, Turing's (pre-)pattern theory ("the chemical basis of morphogenesis") has been widely applied to a number of areas in developmental biology. The related pattern formation models normally comprise a system of…

细胞行为 · 定量生物学 2020-10-28 Fiona R Macfarlane , Mark AJ Chaplain , Tommaso Lorenzi