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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… Expand
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Highly Cited
2011
Highly Cited
2011
Abstract This paper considers competitive Lotka–Volterra population dynamics with jumps. The contributions of this paper are as… Expand
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Highly Cited
2009
Highly Cited
2009
In this paper, we investigate a Lotka-Volterra system under regime switching dx(t)=diag(x"1(t),...,x"n(t))[(b(r(t))+A(r(t))x(t… Expand
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Highly Cited
2009
Highly Cited
2009
We deal with a system of Lotka–Volterra competition-diffusion equations on $\mathbb{R}$, which is a competing two species model… Expand
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Highly Cited
2009
Highly Cited
2009
In this paper, we consider a non-autonomous stochastic Lotka-Volterra competitive system $ dx_i (t) = x_i(t)$[($b_i(t)$-$\sum_{j… Expand
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Highly Cited
2007
Highly Cited
2007
We consider parabolic partial differential equations of Lotka-Volterra type, with a non-local nonlinear term. This models, at the… Expand
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Highly Cited
2007
Highly Cited
2007
We study the general properties of stochastic two-species models for predator-prey competition and coexistence with Lotka… Expand
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Highly Cited
2006
Highly Cited
2006
Ecological changes in the phenology and distribution of plants and animals are occurring in all well-studied marine, freshwater… Expand
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Highly Cited
2004
Highly Cited
2004
Replicator dynamics serves for modelling many biological processes, e.g. evolution of animal behaviour, but also selection in… Expand
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Highly Cited
2002
Highly Cited
2002
In the 1920s, the Italian mathematician Vito Volterra [8] proposed a differential equation model to describe the population… Expand
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Highly Cited
1996
Highly Cited
1996
No wonder you activities are, reading will be always needed. It is not only to fulfil the duties that you need to finish in… Expand
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