Skip to search formSkip to main contentSkip to account menu

Lotka–Volterra equations

Known as: Lotka-Volterra, Lotka–Volterra equation, Volterra equations 
The Lotka–Volterra equations, also known as the predator–prey equations, are a pair of first-order, non-linear, differential equations frequently… 
Wikipedia (opens in a new tab)

Related topics

Related topics

10 relations
Arditi–Ginzburg equationsCompetitive Lotka–Volterra equationsDynamical systemFunctional response

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Lotka–Volterra systems with stochastic resetting
We study the dynamics of predator–prey systems where prey are confined to a single region of space and where predators move… 
Highly Cited
2009
Highly Cited
2009
An Entire Solution to the Lotka-Volterra Competition-Diffusion Equations
We deal with a system of Lotka–Volterra competition-diffusion equations on $\mathbb{R}$, which is a competing two species model… 
Highly Cited
2002
Highly Cited
2002
CONTRIBUTION OF SMALL HABITAT FRAGMENTS TO CONSERVATION OF INSECT COMMUNITIES OF GRASSLAND–CROPLAND LANDSCAPES
Habitat destruction and fragmentation of remaining habitat are major threats to global biodiversity. In this paper, we drew upon… 
Review
2001
Review
2001
Optimal diet theory: when does it work, and when and why does it fail?
Over the last three decades, many studies have attempted to explain forager diets by using optimal diet theory (ODT). Despite… 
Highly Cited
2001
Highly Cited
2001
Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
A predator-prey system with nonmonotonic functional response is considered. Global qualitative and bifurcation analyses are… 
Highly Cited
1997
Highly Cited
1997
A new Volterra predistorter based on the indirect learning architecture
Nonlinear compensation techniques are becoming increasingly important. We present a new Volterra-based predistorter, which… 
Highly Cited
1995
Highly Cited
1995
Lotka-Volterra equation and replicator dynamics: new issues in classification
Replicator dynamics serves for modelling many biological processes, e.g. evolution of animal behaviour, but also selection in… 
Highly Cited
1993
Highly Cited
1993
On the nonautonomous Volterra-Lotka competition equations
A nonautonomous competitive Lotka-Volterra system of two equations is considered. It is shown that if the coefficients are… 
Highly Cited
1978
Highly Cited
1978
On feeding on more than one trophic level
IN trying to understand the structure of ecological communities, ecologists usually pay particular attention to the interactions… 
Highly Cited
1975
Highly Cited
1975
Stability of Grazing Systems: An Application of Predator-Prey Graphs
In a now classical paper, Rosenzweig & MacArthur (1963) have shown how the general stability properties of simple predator-prey… 
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy (opens in a new tab), Terms of Service (opens in a new tab), and Dataset License (opens in a new tab)