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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… 
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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
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
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
1979
Highly Cited
1979
Predation, competition, and zooplankton community structure: An experimental study1,2
An experimental investigation of the zooplankton community of a small Minnesota pond was conducted for 2 years to determine the… 
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… 
Highly Cited
1975
Highly Cited
1975
Tadpoles, Predation and Pond Habitats in the Tropics
Tadpoles involved in predator-prey interactions were studied in tropical wet forest in Costa Rica under laboratory and field… 
Highly Cited
1969
Highly Cited
1969
The Competitive Structure of Communities: An Experimental Approach with Protozoa
An empirical test of the existence of higher order interactions was carried out using four ciliate protozoans, Paramecium… 
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