We motivate and describe a class of nonlinear Leslie matrix models for semelparous populations, like cicadas and Pacific salmon. We then focus on a Cushing-inspired special case for which one can show rigorously that a heteroclinic boundary cycle exists and attracts nearby orbits for a certain range of parameters. Along the way we formulate some open problems concerning a carrying simplex and global behaviour.
|Number of pages||9|
|Journal||Journal of difference equations and applications|
|Publication status||Published - 4 Apr 2005|
- Heteroclinic cycle
- Leslie matrix model
- Semelparous species