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On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
2009
Mathematical Modelling of Natural Phenomena
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
doi:10.1051/mmnp/2009009
fatcat:5zmtbcafordo7hhzlvbq4oouem