1. On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay.
- Author
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Ruan, S.
- Subjects
- *
AGRICULTURE , *PREDATION , *BIOLOGICAL models , *DELAY differential equations , *BIFURCATION theory - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2009
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