| Issue |
ESAIM: M2AN
Volume 37, Number 2, March/April 2003
|
|
|---|---|---|
| Page(s) | 339 - 344 | |
| DOI | https://doi.org/10.1051/m2an:2003029 | |
| Published online | 15 November 2003 | |
Persistence and bifurcation analysis on a predator–prey system of holling type
Department of Mathematics,
Vivekananda College,
Thakurpukur,
Kolkata 700063,
India. debasis_mukherjee2000@yahoo.co.in.
Received:
22
January
2002
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.
Mathematics Subject Classification: 34D23 / 34D45 / 92D25
Key words: Persistance / bifurcation / stability / holling type II.
© EDP Sciences, SMAI, 2003
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