A nonautonomous predator-prey system arising from coagulation theory
A recent investigation of Budác et al. on the selfsimilar behaviour of solutions to a model of coagulation with maximum size [Oxford Center for Nonlinear PdE, Report no. OxPDE-10/01, June 2010] led us to consider a related nonautonomous Lotka-Volterra predator-prey system in which the vector field o...
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2011
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| Texto completo: | http://hdl.handle.net/10400.2/1911 |
| País: | Portugal |
| Oai: | oai:repositorioaberto.uab.pt:10400.2/1911 |
| Resumo: | A recent investigation of Budác et al. on the selfsimilar behaviour of solutions to a model of coagulation with maximum size [Oxford Center for Nonlinear PdE, Report no. OxPDE-10/01, June 2010] led us to consider a related nonautonomous Lotka-Volterra predator-prey system in which the vector field of the predator equation converges to zero as t\rightarrow +\infty. The solutions of the system show a behaviour distinct from those of either autonomous or periodic analogs. A partial numerical and analytical study of these systems is initiated. An ecological interpretation of this type of systems is proposed. |
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