Predator prey interactions with time delays.

@article{Cushing1976PredatorPI,
  title={Predator prey interactions with time delays.},
  author={J. M. Cushing},
  journal={Journal of mathematical biology},
  year={1976},
  volume={3 3-4},
  pages={369-80}
}
A general (Volterra-Lotka type) integrodifferential system which describes a predator-prey interaction subject to delay effects is considered. A rather complete picture is drawn of certain qualitative aspects of the solutions as they are functions of the parameters in the system. Namely, it is argued that such systems have, roughly speaking, the following features. If the carrying capacity of the prey is smaller than a critical value then the predator goes extinct while the prey tends to this… CONTINUE READING
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