# Persistence and bifurcation analysis on a predator–prey system of holling type

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 37, Issue: 2, page 339-344
- ISSN: 0764-583X

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topMukherjee, Debasis. "Persistence and bifurcation analysis on a predator–prey system of holling type." ESAIM: Mathematical Modelling and Numerical Analysis 37.2 (2010): 339-344. <http://eudml.org/doc/194166>.

@article{Mukherjee2010,

abstract = {
We present a Gause type predator–prey model incorporating delay due to
response of prey population growth to density and gestation. The functional response
of predator is assumed to be of Holling type II. In absence of prey, predator has a
density dependent death rate. Sufficient criterion for uniform persistence is derived.
Conditions are found out for which system undergoes a Hopf–bifurcation.
},

author = {Mukherjee, Debasis},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Persistance; bifurcation; stability; holling type II.; persistence; Holling type II},

language = {eng},

month = {3},

number = {2},

pages = {339-344},

publisher = {EDP Sciences},

title = {Persistence and bifurcation analysis on a predator–prey system of holling type},

url = {http://eudml.org/doc/194166},

volume = {37},

year = {2010},

}

TY - JOUR

AU - Mukherjee, Debasis

TI - Persistence and bifurcation analysis on a predator–prey system of holling type

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 37

IS - 2

SP - 339

EP - 344

AB -
We present a Gause type predator–prey model incorporating delay due to
response of prey population growth to density and gestation. The functional response
of predator is assumed to be of Holling type II. In absence of prey, predator has a
density dependent death rate. Sufficient criterion for uniform persistence is derived.
Conditions are found out for which system undergoes a Hopf–bifurcation.

LA - eng

KW - Persistance; bifurcation; stability; holling type II.; persistence; Holling type II

UR - http://eudml.org/doc/194166

ER -

## References

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