Wavefronts and global stability in a time-delayed population model with stage structure

  title={Wavefronts and global stability in a time-delayed population model with stage structure},
  author={Stephen A. Gourley and Yang Kuang},
We formulate and study an one dimensional single species diffusive delay population model. The time delay is the time taken from birth to maturity. Without diffusion, the delay differential model is a direct extension of the well-known logistic differential equation with delayed constant birth process and instantaneous quadratically regulated death process. This delayed model is known to have simple global dynamics similar to that of logistic equation. Through the use of a sub/supsolution pair… CONTINUE READING


Publications citing this paper.
Showing 1-10 of 30 extracted citations


Publications referenced by this paper.
Showing 1-10 of 33 references

On a nonlinear diffusion equation describing population growth

  • J. Canosa
  • IBM. J. Res. & Dev. 17, 307-313
  • 1973
Highly Influential
4 Excerpts

Delay differential equations with applications in population dynamics

  • Y. Kuang
  • Academic Press, New York
  • 1993
Highly Influential
5 Excerpts

Mathematical Biology

  • J. D. Murray
  • Springer-Verlag, Berlin
  • 1989
Highly Influential
3 Excerpts

A reaction diffusion model for a single species with age structure I . Travelling wave fronts on unbounded domains

  • J. W.-H. So, J. Wu, X. Zou
  • Proc . Roy . Soc . Lond . A .
  • 2000

Travelling fronts in the diffusive Nicholson’s blowflies equation with distributed delays

  • S. A. Gourley
  • Math. & Comp. Modelling. 32, 843-853
  • 2000
3 Excerpts

b Travelling fronts in the di ® usive Nicholson ’ s blow ° ies equation with distributed delays

  • S. A. Gourley, N. F. Britton
  • Math . Comput . Modelling
  • 2000

Similar Papers

Loading similar papers…