Results 31 to 40 of about 3,319 (144)
Overexploitation can counteract top‐down control and the paradox of enrichment in simple food chains
Oikos, Volume 2026, Issue 5, May 2026.Because of its high abundance or its high feeding intensity, a consumer can overexploit its resource by consuming it on a shorter timescale than resource regeneration. While this short‐term overexploitation is widespread in nature, its general implications for biotic control patterns and ecosystem stability are not clear.
Josquin Guerber +2 more
wiley +1 more source
Wealth, income, earnings and the statistical mechanics of flow systems [PDF]
, 2011 This paper looks at empirical data from economics regarding wealth, earnings and income, alongside a flow model for an economy based on the general Lotka-Volterra models of Levy & Solomon.
Willis, Geoff
core
Ecology Letters, Volume 29, Issue 5, May 2026.The processes driving community assembly are broadly categorised into deterministic and stochastic ones. With a multi‐replicated experimental design, we quantified the extent to which stochasticity at initial stages of community assembly could drive divergence into alternative ecological trajectories.
Ibuki Hayashi +2 more
wiley +1 more source
Discrete & Continuous Dynamical Systems - B, 2008 This well-written paper deals with discrete-time Lotka-Volterra models obtained by applying nonstandard finite difference (NSFD) schemes to the continuous-time counterpart of the model. The NSFD schemes are noncanonical symplectic numerical methods proposed previously by the author [J. Difference Equ. Appl.
openaire +2 more sources
"Quantum phase transitions" in classical nonequilibrium processes
, 2000 Diffusion limited reaction of the Lotka-Volterra type is analyzed taking into account the discrete nature of the reactants. In the continuum approximation, the dynamics is dominated by an elliptic fixed-point.
Cardy +11 more
core +3 more sources
Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation
Natural Resource Modeling, Volume 39, Issue 2, May 2026.ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu +2 more
wiley +1 more source
Journal of Applied Analysis & ComputationSummary: This study investigates the application of the Caputo derivative with a variable fractional order to time-dependent models of Ordinary Differential Equations (ODEs), aiming to enhance the simulation accuracy of dynamic systems characterized by complex, nonlinear temporal behaviors.
Naik, Parvaiz Ahmad +5 more
openaire +2 more sources
A general framework for invasion cycles in ecology
Ecology, Volume 107, Issue 4, April 2026.Abstract Theory predicts that indirect interactions in ecological networks sustain species diversity through oscillatory dynamics. However, a framework linking interaction structure to the presence, type, and complexity of these cycles is lacking. Here, we develop an analytical toolbox combining invasion graphs with a mathematical decomposition of ...
Violeta Calleja‐Solanas +5 more
wiley +1 more source
Fields of rational constants of cyclic factorizable derivations
Electronic Journal of Differential Equations, 2015 We describe all rational constants of a large family of four-variable cyclic factorizable derivations. Thus, we determine all rational first integrals of their corresponding systems of differential equations.
Janusz Zielinski
doaj
, 2020 We study a variant of the cyclic Lotka-Volterra model with three-agent interactions. Inspired by a multiplayer variation of the Rock-Paper-Scissors game, the model describes an ideal ecosystem in which cyclic competition among three species develops ...
Ferriani, Stefano +2 more
core +1 more source