Geodesic
On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
S. Ruan1
1 Department of Mathematics, University of Miami, Coral Gables, FL 33124-4250, USA
Mathematical modelling of natural phenomena, Tome 4 (2009) no. 2, pp. 140-188.

Voir la notice de l'article provenant de la source EDP Sciences

In this survey, we briefly review some of our recent studies on predator-prey models with discrete delay. We first study the distribution of zeros of a second degree transcendental polynomial. Then we apply the general results on the distribution of zeros of the second degree transcendental polynomial to various predator-prey models with discrete delay, including Kolmogorov-type predator-prey models, generalized Gause-type predator-prey models with harvesting, etc. Bogdanov-Takens bifurcations in delayed predator-prey models with nonmonotone functional response and in delayed predator-prey model with predator harvesting are also introduced.
DOI : 10.1051/mmnp/20094207

S. Ruan 1

1 Department of Mathematics, University of Miami, Coral Gables, FL 33124-4250, USA 
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S. Ruan. On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay. Mathematical modelling of natural phenomena, Tome 4 (2009) no. 2, pp. 140-188. doi : 10.1051/mmnp/20094207. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20094207/

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