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A prey–predator interaction under fluctuating level water
Author(s) -
Moussaoui A.,
Bouguima S.M.
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3055
Subject(s) - pike , mathematics , predator , predation , extinction (optical mineralogy) , plankton , degree (music) , coincidence , persistence (discontinuity) , ecology , biology , fishery , physics , fish <actinopterygii> , medicine , paleontology , alternative medicine , geotechnical engineering , pathology , acoustics , engineering
We consider three species system, namely prey (roach), predator (pike) and plankton. We derive persistence and extinction conditions of the populations. Using coincidence degree theory, we determine conditions for which the system has a periodic solution. Copyright © 2014 John Wiley & Sons, Ltd.