A minimum model of prey-predator system with dormancy of predators and the paradox of enrichment

Masataka Kuwamura, Takefumi Nakazawa, Toshiyuki Ogawa

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)459-479
Number of pages21
JournalJournal of Mathematical Biology
Volume58
Issue number3
DOIs
Publication statusPublished - 2009 Mar

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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