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Migratory effect of middle predator in a tri‐trophic food chain model
Author(s) -
Chowdhury Tanmay,
Chakraborty Subhendu,
Chattopadhyay J.
Publication year - 2010
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.1286
Subject(s) - trophic level , predator , food chain , predation , extinction (optical mineralogy) , apex predator , ecology , trophic cascade , chain (unit) , biology , mathematics , physics , astronomy , paleontology
Abstract A tri‐trophic food chain model in a two‐patch environment is considered. Although tri‐trophic food chain model is well studied, the study considering migration of middle predator is lacking. To the best of our knowledge, the present investigation is the first study in this direction. Both prey and predator density‐dependent migrations are considered to observe the effects on stability and persistence of the system. We observe that migration of middle predator has the ability to control chaos in tri‐trophic food chain model. Our results indicate that the chance of predator extinction enhances for prey density‐dependent middle predator migration. Copyright © 2010 John Wiley & Sons, Ltd.