具有不同出生率和死亡率的蚊虫种群的动力系统
Dynamical system of a mosquito population with distinct birth-death rates
摘要:
研究了具有不同出生率(记为$β$)和死亡率(记为$μ$)的野生蚊子种群模型的离散时间动力系统.在我们以前的工作中考虑了$μ=β$的情况。本文证明了对于$β<μ$,蚊种群将死亡,而对于$β>μ$,蚊种群将存活,即幼虫数趋于无穷,成虫数有有限的极限${α\over μ}$,其中$α>0$是最大羽化率。
英文摘要:
We study the discrete-time dynamical systems of a model of wild mosquito population with distinct birth (denoted by $β$) and death (denoted by $μ$) rates. The case $μ=β$ was considered in our previous work. In this paper we prove that for $β<μ$ the mosquito population will die and for $β>μ$ the population will survive, namely, the number of the larvaes goes to infinite and the number of adults has finite limit ${α\over μ}$, where $α>0$ is the maximum emergence rete.
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