Persistence and bifurcation analysis on a predator-prey system of holling type
ESAIM: Modélisation mathématique et analyse numérique, Tome 37 (2003) no. 2, pp. 339-344.

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.

DOI : 10.1051/m2an:2003029
Classification : 34D23, 34D45, 92D25
Mots-clés : persistance, bifurcation, stability, holling type II 
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     author = {Mukherjee, Debasis},
     title = {Persistence and bifurcation analysis on a predator-prey system of holling type},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {339--344},
     publisher = {EDP-Sciences},
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     number = {2},
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     url = {http://www.numdam.org/articles/10.1051/m2an:2003029/}
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Mukherjee, Debasis. Persistence and bifurcation analysis on a predator-prey system of holling type. ESAIM: Modélisation mathématique et analyse numérique, Tome 37 (2003) no. 2, pp. 339-344. doi : 10.1051/m2an:2003029. http://www.numdam.org/articles/10.1051/m2an:2003029/

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