Isolation effects in a system of two mutually communicating identical patches

D.J. Pamplona da Silva, R.P. Villar and L.C. Ramos

Applied Mathematics and Computation, 2017, vol. 315, issue C, 494-499

Abstract: Starting from the Fisher–Kolmogorov–Petrovskii–Piskunov equation (FKPP) we model the dynamic of a diffusive system with two mutually communicating identical patches and isolated of the remaining matrix. For this system we find the minimal size of each fragment in the explicit form and compare with the explicit results for similar problems found in the literature. From this comparison emerges an unexpected result that for a same set of the parameters, the isolated system studied in this work with size L, can be better or worst than the non isolated systems with the same size L, uniquely depending on the parameter a0 (internal conditions of the patches). Due to the fact that this result is unexpected we propose an experimental verification.

Keywords: Fisher–Kolmogorov–Petrovskii–Piskunov (FKPP) equation; Fragmented system; Isolated system; Population dynamics; Explicit solutions (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:315:y:2017:i:c:p:494-499

DOI: 10.1016/j.amc.2017.08.003

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