Open AccessSTABLE PERIODIC BEHAVIOR IN A PIONEER‐CLIMAX MODEL
Author(s) -
Selgrade James F.,
Namkoong Gene
Publication year - 1990
Publication title -
natural resource modeling
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.28
H-Index - 32
eISSN - 1939-7445
pISSN - 0890-8575
DOI - 10.1111/j.1939-7445.1990.tb00098.x
Subject(s) - climax , periodic orbits , hopf bifurcation , mathematics , differential equation , stability (learning theory) , bifurcation , orbit (dynamics) , differential (mechanical device) , mathematical analysis , physics , thermodynamics , ecology , nonlinear system , computer science , biology , quantum mechanics , machine learning , engineering , aerospace engineering
Two dimensional pioneer‐climax models of differential and difference equations are presented and analyzed. An effort is made to separate a species response to density from the competitive effects. Stable periodic behavior is established for both models via Hopf bifurcation. For the differential equation model, a general formula is presented for determining the stability of the bifurcating period orbit.