Survival of the fittest in a generalized logistic model
Survival of the fittest in a generalized logistic model
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DOI：
10.1142/s0218202599000610
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发表时间：
1999-12-01
影响因子：
3.5
通讯作者：
Fitzpatrick, BG
中科院分区：
文献类型：
--
作者：
Ackleh, AS;Marshall, DF;Fitzpatrick, BG
本文讨论了一类具有分布增长率和死亡率的Logistic模型的渐近性态。特别是，我们证明了整个人口成为集中在具有最高的增长率与死亡率之比的子人口，并收敛到这个比例所定义的均衡。最后，我们给出了一个数值例子说明理论结果。
In this paper we discuss the asymptotic behavior of a logistic model with distributed growth and mortality rates. In particular, we prove that the entire population becomes concentrated within the subpopulation with highest growth to mortality ratio, and converges to the equilibrium defined by this ratio. Finally, we present a numerical example illustrating the theoretical results.