Modeling and analysis of stochastic invasion processes.

@article{Lewis2000ModelingAA,
  title={Modeling and analysis of stochastic invasion processes.},
  author={Mark A. Lewis and Stephen W Pacala},
  journal={Journal of mathematical biology},
  year={2000},
  volume={41 5},
  pages={387-429}
}
In this paper we derive spatially explicit equations to describe a stochastic invasion process. Parents are assumed to produce a random number of offspring which then disperse according to a spatial redistribution kernel. Equations for population moments, such as expected density and covariance averaged over an ensemble of identical stochastic processes, take the form of deterministic integro-difference equations. These equations describe the spatial spread of population moments as the invasion… CONTINUE READING

Citations

Publications citing this paper.
Showing 1-10 of 49 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 36 references

Dispersal data and the spread of invading organisms

  • M. Kot, M. A. Lewis, P. van den Driessche
  • Ecology (in press)
  • 1996
Highly Influential
4 Excerpts

The advancing wave in a spatial birth process

  • H. E. Daniels
  • J. Appl. Prob., 14(4), 689–701
  • 1977
Highly Influential
5 Excerpts

Coupling methods in epidemic theory

  • F. Ball
  • Mollison, D. editor, Epidemic Models: Their…
  • 1995
1 Excerpt

Dispersal and pattern formation in a discrete-time predator-prey model

  • M. Neubert, M. Kot, M. A. Lewis
  • Theor. Pop. Biol., 48, 7–43
  • 1995
1 Excerpt

Integrodifference Models of Biological Growth and Dispersal

  • R. W. Van Kirk
  • PhD thesis, University of Utah, Department of…
  • 1995
2 Excerpts

Modeling stratified diffusion in biological invasions

  • N. Shigesada, K. Kawasaki, Y. Takeda
  • American Naturalist, 146, 229–251
  • 1995
1 Excerpt

Spatial epidemic models

  • R. Durrett
  • In Mollison, D. editor, Epidemic Models: Their…
  • 1995
1 Excerpt

Similar Papers

Loading similar papers…