オガワ　トシユキ   OGAWA Toshiyuki   小川　知之    所属   明治大学  総合数理学部    職種   専任教授
言語種別	英語
発行・発表の年月	2009
形態種別	学術雑誌
標題	A minimal model of prey-predator system with dormancy of predators and the paradox of enrichment
執筆形態	共著(筆頭者以外)
掲載誌名	J. Math. Biol.
巻・号・頁	58(3),pp.459-479
著者・共著者	M.Kuwamura，T.Nakazawa
概要	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.