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Stability and complexity in model ecosystems.

Robert M. May
- Vol. 6, pp 1-235
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The article was published on 1973-01-01 and is currently open access. It has received 5524 citations till now.

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Effect of a protection zone in the diffusive Leslie predator-prey model

TL;DR: In this paper, the authors considered the diffusive Leslie predator-prey model with large intrinsic predator growth rate, and investigated the change of behavior of the model when a simple protection zone Ω 0 for the prey is introduced.
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A community matrix analysis of heliconia insect communities

TL;DR: Field manipulations were designed to determine interspecific interaction coefficients (α's) for insect species living in the water-holding bracts of Heliconia wagneriana and H. imbricata, indicating the symbiotic nature of these communities.
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Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics

TL;DR: In this paper, the traveling-wave solutions of two classes of equations, namely reaction-diffusion and reaction-telegraph, were obtained by the modified method of simplest equation for the cases when the simplest equation is the equation of Bernoulli or Riccati.
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The impact of nonlinear functional responses on the long-term evolution of food web structure.

TL;DR: It is found that large and complex webs with several trophic layers arise only if the population dynamics is such that it allows predators to focus on their best prey species.