Abstract
We consider an ecological model by Levin and Segel (1976) for predator-prey planktonic species, which consists of two reaction-diffusion equations, and extend it to plankton populations with time-varying diffusivities. The local stability of uniform equilibria is examined both analytically and numerically. It is found that diffusive instability is less likely to occur in systems with time-varying diffusivity than those with constant diffusivity.
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Contribution No. 803 of the Marine Sciences Research Center, State University of New York, Stony Brook
Supported by the Danish Science Research Council (Grant nos. 11-7128, 11-8321), the Danish Research Academy (Grant nos. E-880011, V-890085) and a Travel Grant for Mathematicians (Rejselegat for Matematikere)
Supported by Hudson River Foundation, Grant no. 01488AO37
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Timm, U., Okubo, A. Diffusion-driven instability in a predator-prey system with time-varying diffusivities. J. Math. Biol. 30, 307–320 (1992). https://doi.org/10.1007/BF00176153
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DOI: https://doi.org/10.1007/BF00176153