OGAWA Toshiyuki    Department   Undergraduate School  , School of Interdisciplinary Mathematical Sciences    Position   Professor
Language	English
Publication Date	2009
Type	Academic Journal
Title	A minimal model of prey-predator system with dormancy of predators and the paradox of enrichment
Contribution Type	Co-authored (other than first author)
Journal	J. Math. Biol.
Volume, Issue, Page	58(3),pp.459-479
Author and coauthor	M.Kuwamura，T.Nakazawa
Details	In this paper, a mathematical model of a prey-predator system is proposed to resolve the paradox of enrichment in ecosystems. The model is based on the natural strategy that a predator takes, i.e, it produces resting eggs in harsh environment. Our result gives a criterion for a functional response, which ensures that entering dormancy stabilizes the population dynamics. It is also shown that the hatching of resting eggs can stabilize the population dynamics when the switching between non-resting and resting eggs is sharp. Furthermore, the bifurcation structure of our model suggests the simultaneous existence of a stable equilibrium and a large amplitude cycle in natural enriched environments.