Single-class orbits in nonlinear Leslie matrix models for semelparous populations.
The dynamics of a general nonlinear Leslie matrix model for a semelparous population is investigated. We are especially concerned with the attractivity of the single-class state, in which all but one cohort (or year-class) are missing. Our result shows that the single-class state is attractive if inter-class competition is severe. Conversely, if intra-class competition is severe, the single-class state is repelling. Numerical investigations show that all classes do not necessarily coexist even if the single-class state is repelling.
Kon
Ryusuke
R
Department of Biology, Kyushu University, Hakozaki 6-10-1, Higashi-ku, Fukuoka 812-8581, Japan. kon-r@bio-math10.biology.kyushu-u.ac.jp
Iwasa
Yoh
Y
D000818:Animals; D017753:Ecosystem; D005260:Female; D007313:Insecta / Q000502:physiology; D008297:Male; D008433:Mathematics; D008954:Models, Biological; D017711:Nonlinear Dynamics; D011157:Population Dynamics; D012098:Reproduction