A nonautonomous predator-prey system arising from coagulation theory

Costa, Fernando Pestana da; Pinto, João Teixeira

http://hdl.handle.net/10400.2/1911

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Authors

Costa, Fernando Pestana da

Pinto, João Teixeira

Abstract(s)

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.

Keywords

Coagulation equations Self-similar behaviour Predator-prey equations Lotka-Volterra equations Non-autonomous systems

URI

http://hdl.handle.net/10400.2/1911

Citation

Costa, Fernando Pestana da; Pinto, João T. - A nonautonomous predator-prey system arising from coagulation theory. "International Journal of Biomathematics and Biostatistics" [Em linha]. ISSN 0973-7340. Vol. 1, nº 2 (July-Dec. 2010), p. 129-140