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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.read more
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Periodic Solutions of Periodic Delay Lotka–Volterra Equations and Systems☆
Yongkun Li,Yang Kuang +1 more
TL;DR: In this article, sufficient and realistic conditions are obtained for the existence of positive periodic solutions for both periodic Lotka-Volterra equations and systems with distributed or state-dependent delays.
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Nonlocality of Reaction-Diffusion Equations Induced by Delay: Biological Modeling and Nonlinear Dynamics
TL;DR: In this paper, a short survey on the biological modeling, dynamics analysis, and numerical simulation of nonlocal spatial effects, induced by time delays, in diffusion models for a single species confined to either a finite or an infinite domain is presented.
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The structure of a tropical host-parasitoid community
TL;DR: Connectance and quantitative parasitoid webs are described for a community of leaf-mining insects and their parasitoids in regrowth tropical dry forest in Costa Rica, where leaf-miners were highly host-specific.
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On a diffusive prey-predator model which exhibits patchiness
Masayasu Mimura,James D. Murray +1 more
TL;DR: It is shown that when the diffusion of the prey is small compared with that of the predator the non-linearity which is called a hump effect in the prey interaction, is a key mechanism for the system to exhibit, asymptotically in time, stable heterogeneity in a bounded domain with zero flux boundary conditions.
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Selection, tinkering, and emergence in complex networks
TL;DR: Here different characteristic features of complex nets, as well as their behavior under different sources of perturbation, are considered.