Dormancy of predators dependent on the rate of variation in prey density

Masataka Kuwamura, Takefumi Nakazawa

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

In this paper, a simple model is used to demonstrate that the dormancy of predators dependent on the rate of decline in the prey density can strongly stabilize the population dynamics of prey-predator systems. This result may help explain why the population dynamics of phytoplanktonzooplankton (-resting eggs) is frequently observed to be strongly stable in nature. Moreover, it is numerically shown that the model can have two stable prey-predator cycles with different amplitudes and periods, which suggests that prey-predator (-dormant predator) systems have the potential to generate multiple stable cycles without any other mechanism.

Original languageEnglish
Pages (from-to)169-179
Number of pages11
JournalSIAM Journal on Applied Mathematics
Volume71
Issue number1
DOIs
Publication statusPublished - 2011 Mar 11

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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