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  • 标题:Cannibalism in discrete-time predator–prey systems
  • 本地全文:下载
  • 作者:Yunshyong Chow ; Sophia R.-J. Jang
  • 期刊名称:Journal of Biological Dynamics
  • 印刷版ISSN:1751-3758
  • 电子版ISSN:1751-3766
  • 出版年度:2012
  • 卷号:6
  • 期号:1
  • 页码:38-62
  • DOI:10.1080/17513758.2011.557745
  • 出版社:Taylor & Francis
  • 摘要:In this study, we propose and investigate a two-stage population model with cannibalism. It is shown that cannibalism can destabilize and lower the magnitude of the interior steady state. However, it is proved that cannibalism has no effect on the persistence of the population. Based on this model, we study two systems of predator–prey interactions where the prey population is cannibalistic. A sufficient condition based on the nontrivial boundary steady state for which both populations can coexist is derived. It is found via numerical simulations that introduction of the predator population may either stabilize or destabilize the prey dynamics, depending on cannibalism coefficients and other vital parameters.
  • 关键词:stage structure; cannibalism; inherent net reproductive number; uniform persistence
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