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Full-Text Articles in Life Sciences

Park's Tribolium Competition Experiments: A Non-Equilibrium Species Coexistence Hypothesis, Jeffrey Edmunds, J. M. Cushing, R. F. Costantino, Shandelle M. Henson, Brian Dennis, R. A. Desharnais Sep 2003

Park's Tribolium Competition Experiments: A Non-Equilibrium Species Coexistence Hypothesis, Jeffrey Edmunds, J. M. Cushing, R. F. Costantino, Shandelle M. Henson, Brian Dennis, R. A. Desharnais

Faculty Publications

1. In this journal 35 years ago, P. H. Leslie, T. Park and D. B. Mertz reported competitive exclusion data for two Tribolium species. It is less well-known that they also reported 'difficult to interpret' coexistence data. We suggest that the species exclusion and the species coexistence are consequences of a stable coexistence two-cycle in the presence of two stable competitive exclusion equilibria. 2. A stage-structured insect population model for two interacting species forecasts that as interspecific interaction is increased there occurs a sequence of dynamic changes (bifurcations) in which the classic Lotka-Volterra-type scenario with two stable competitive exclusion equilibria …


Predicting Irregularities In Population Cycles, Shandelle M. Henson, James R. Reilly, Suzanne L. Robertson, Matthew C. Schu, Eric W. D. Rozier, J. M. Cushing May 2003

Predicting Irregularities In Population Cycles, Shandelle M. Henson, James R. Reilly, Suzanne L. Robertson, Matthew C. Schu, Eric W. D. Rozier, J. M. Cushing

Faculty Publications

Oscillating population data often exhibit cycle irregularities such as episodes of damped oscillation and abrupt changes of cycle phase. The prediction of such irregularities is of interest in applications ranging from food production to wildlife management. We use concepts from dynamical systems theory to present a model-based method for quantifying the risk of impending cycle irregularity.