Results 41 to 50 of about 3,319 (144)

Dirac mass dynamics in multidimensional nonlocal parabolic equations [PDF]

, 2011
Nonlocal Lotka-Volterra models have the property that solutions concentrate as Dirac masses in the limit of small diffusion. Is it possible to describe the dynamics of the limiting concentration points and of the weights of the Dirac masses?
Lorz, Alexander, Mirrahimi, Sepideh, Perthame, Benoît   +2 more
core   +5 more sources

Seasonal variations in planktonic food web structure affect stability by shifting the distribution of energy fluxes

Oikos, Volume 2026, Issue 4, April 2026.
Seasonality in temperate ecosystems shapes species phenology, influencing interactions and food web structure. Variations in species richness and biomass affect trophic interaction strength, a crucial factor for community stability, which can be assessed through energy fluxes – an essential indicator of ecosystem function.
Simon Bazin, Isabelle Domaizon, Cécilia Barouillet, Victor Frossard, Arnaud Sentis   +4 more
wiley   +1 more source

On the generalized Hamiltonian structure of 3D dynamical systems

, 2002
The Poisson structures for 3D systems possessing one constant of motion can always be constructed from the solution of a linear PDE. When two constants of the motion are available the problem reduces to a quadrature and the structure functions include an
Arnold, Bountis, Cairó, F Haas, Giacomini, Goedert, Grammaticos, Gümral, Haas, Haas, Hojman, Holm, J Goedert, Kuś, Lorenz, Lucey, Nutku, Nutku, Olver, Perlick, Pikovski, Puta, Razavy, Rikitake   +23 more
core   +2 more sources

Mathematical Modelling and Intuition in Microbiology: A Perspective

Environmental Microbiology, Volume 28, Issue 4, April 2026.
Mathematical modelling in microbiology converts verbal reasoning into internally consistent hypotheses that can provide testable predictions, infer hidden parameters, and generate transferable intuition. By selecting an appropriate level of description, researchers can connect data to explanatory principles.
Jamie A. Lopez, Amir Erez
wiley   +1 more source

Why Money Trickles Up - Wealth & Income Distributions [PDF]

, 2011
This paper combines ideas from classical economics and modern finance with the general Lotka-Volterra models of Levy & Solomon to provide straightforward explanations of wealth and income distributions.
Willis, Geoff
core   +1 more source

Coexistence of Photosynthetic Marine Microorganisms, Viruses and Grazers: Towards Integration in Ocean Ecosystem Models

Environmental Microbiology, Volume 28, Issue 4, April 2026.
Our study explores coexistence regimes of a virus and a zooplankton with a single phytoplankton for different model structures (left panel). The inclusion of an infected class and a resistant class is sufficient to generate coexistence regimes (middle panel). Using algebraic solutions, we optimise our model emphasising the importance of including viral
Paul Frémont, Stephen J. Beckett, David Demory, Eric Carr, Christopher L. Follett, Debbie Lindell, David Talmy, Stephanie Dutkiewicz, Joshua S. Weitz   +8 more
wiley   +1 more source

Environmental vs demographic variability in stochastic predator-prey models

, 2013
In contrast to the neutral population cycles of the deterministic mean-field Lotka--Volterra rate equations, including spatial structure and stochastic noise in models for predator-prey interactions yields complex spatio-temporal structures associated ...
Dobramysl, Ulrich, Tauber, Uwe C.
core   +1 more source

Generalized graphical mixed models connect ecological theory with widely used statistical models

Methods in Ecology and Evolution, Volume 17, Issue 4, Page 1290-1302, April 2026.
Abstract Ecological dynamics are often analysed across multiple sites, times, and variables. Ecologists typically represent interactions across space, time, and variables using generalized linear mixed models (GLMMs), generalized additive models (GAM), and structural equation models (SEM).
James T. Thorson
wiley   +1 more source

Community Assembly Reveals How Environmental Controls Over Rodent Competition Drive Deer Mouse Density and Hantavirus Infection

Ecology Letters, Volume 29, Issue 4, April 2026.
We examined how community assembly processes shape Sin Nombre hantavirus (SNV) dynamics in rodent communities across the southwestern United States. Environmental factors structured community composition, which regulated deer mouse abundance and SNV infection, rather than diversity alone.
Angela D. Luis, Dean E. Pearson
wiley   +1 more source

Local derivations and Rota-Baxter operators of quantum Lotka-Volterra algebras on M_2(C)

Gulf Journal of Mathematics
In this paper, we thoroughly investigate the local and 2-local derivations of a flow of quantumgenetic Lotka-Volterra algebras on M2(C) (FQGLV-A). The analysis is mainly geared towards understanding how specific parameter values influence the properties of these derivations.
Izzat Qaralleh, Farrukh Mukhamedov
openaire   +1 more source