Spatial pattern formation of prey-predator populations
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Publication:755445
DOI10.1007/BF00280584zbMath0417.92017WikidataQ113908972 ScholiaQ113908972MaRDI QIDQ755445
Kohkichi Kawasaki, Ei Teramoto
Publication date: 1979
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Lyapunov functionheterogeneous environmentecological systemlinearly connected compartementsnon-uniform spatial distribution pattern of prey-predator populationsVolterra type interaction
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Population dynamics (general) (92D25) Ecology (92D40)
Related Items (5)
Competition for space in a heterogeneous environment ⋮ Asymptotic behavior of a nonhomogeneous predator-prey system with one diffusing and one sedentary species ⋮ Asymptotic behaviour of solutions of the diffusive Lotka-Volterra equations ⋮ Transit delays and dispersive populations in patchy habitats ⋮ The effects of habitat fragmentation on persistence of source-sink metapopulations in systems with predators and prey or apparent competitors
Cites Work
- Stability by Liapunov's direct method. With applications
- Stability of multispecies communities in randomly varying environment
- Global stability in Lotka-Volterra systems with diffusion
- On a certain semilinear parabolic system related to the Lotka-Volterra ecological model
- Direct and indirect effects of invasions of predators on a multiple- species community
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