Given the event of nonextinction, the distribution of tumor size is asymptotically exponential. The limiting conditional distribution of tumor size is in good agreement with epidemiologic data on advanced lung cancer. Elsevier Science Inc. All rights reserved. The dynamics of a predator-prey system, where the predator has two stages, a juvenile stage and a mature stage, are modelled by a system of three ordinary differential equations. The mature predators prey on the juvenile predators in addition to the prey.
Numerical studies indicate that a stable limit cycle appears.
Cannibalism can therefore be a destabilizing force in a predator-prey system. Elsevier Science Inc. All rights reserved.