聖塔非研究所

摘要 In this work we assume that a 族群's survival is de

2013-12-17 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 In this work we assume that a 族群's survival is dependent on the existence of a critical mass of susceptible individuals. The implications of this Allee effect is considered within the con…

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  • 類型:已發表論文
  • 日期:2013-12-17

摘要

In this work we assume that a 族群's survival is dependent on the existence of a critical mass of susceptible individuals. The implications of this Allee effect is considered within the context of a Susceptible-Infectious (SI) model where infection has a negative effect on an individual's fitness: with respect to both reproduction and resource acquisition. These assumptions are built into as simple a model as possible which yields surprisingly rich dynamics. This toy model supports the possibility of multi-stability (hysteresis), saddle node and Hopf 分岔s, and catas營養級 events (疾病-induced extinction). The analyses provide a full picture of the system under 疾病-free dynamics and identifies conditions for 疾病 persistence and 疾病-induced extinction. We conclude that increases in (i) the maximum birt

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