Predator prey interactions with time delays.

  title={Predator prey interactions with time delays.},
  author={J. M. Cushing},
  journal={Journal of mathematical biology},
  volume={3 3-4},
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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Publications referenced by this paper.
Showing 1-7 of 7 references

Periodic solutions of two species interaction models with lags

  • J. M. Cushing
  • (to appear in Math. Biosci
  • 1976
Highly Influential
7 Excerpts

An operator equation and bounded solutions of integro-differential systems

  • J. M. Cushing
  • SIAM J. Math. Anal. 6,
  • 1975
Highly Influential
6 Excerpts

On the behaviour of solutions of predator-prey equations with hereditary terms

  • J. M. Bownds, J. M. Cushing
  • Math. Biosci
  • 1975
3 Excerpts

Asymptotic stability and perturbations for linear Volterra integrodifferential systems, appearing in Delay and Functional Differential Equations and their Applications (Schmitt

  • R. K. Miller
  • 1972
3 Excerpts

Time lag in prey-predator population models

  • W. Cunningham, P. Wangersky
  • Ecology
  • 1957
1 Excerpt

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