Open AccessPERSISTENCE AND STABILITY IN ARATIO‐DEPENDENT PREDATOR‐PREY SYSTEM WITH DELAY AND HARVESTING
Author(s) -
MAITI ALAKES,
PATRA BIBEK,
SAMANTA G.P.
Publication year - 2007
Publication title -
natural resource modeling
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.28
H-Index - 32
eISSN - 1939-7445
pISSN - 0890-8575
DOI - 10.1111/j.1939-7445.2007.tb00221.x
Subject(s) - persistence (discontinuity) , predation , stability (learning theory) , predator , control theory (sociology) , hopf bifurcation , bifurcation , mathematics , ecology , biology , computer science , physics , engineering , nonlinear system , geotechnical engineering , artificial intelligence , control (management) , quantum mechanics , machine learning
. . This paper aims to study the effect of time‐delay and combined harvesting on a Michaelis‐Menten type ratio‐dependent predator‐prey system. Dynamical behaviors such as persistence, stability, bifurcation, et cetera, are studied critically. Computer simulations are carried out to illustrate our analytical findings.