摘要
建立并研究了两个具有三个年龄阶段的单种群自食模型．这篇文章的主要目的是研究时滞对种 群生长的作用．对于没有时滞的的模型,我们利用Liapunov函数,得到了系统平衡点全局渐近稳定的充分条 件;而具有时滞的的模型,我们得到,随着时滞r增加,当系数满足一定条件时,正平衡点的稳定性可以改 变有限次,最后变成不稳定;否则,时滞模型的正平衡点的稳定性不改变．
In this paper, single species models with three life history stages and cannibalism are investigated and analyzed. The main purpose of this paper is to study the effect of time delay on population growth. For the model without time delay, by using Liapunov functions, we obtain the equilibria of the system are globally asymptotically stable. For the model with time delay, it is shown that for some parameter values, the stability of the positive equilibrium can change a finite number of times at most as time delay is increased, and eventually it becomes unstable; but for other parameter values, the stability of the positive equilibrium does not change as time delay is increased. Numerical simulation is then presented.
出处
《生物数学学报》
CSCD
北大核心
2005年第4期385-391,共7页
Journal of Biomathematics
基金
Foundation item:This Work is Supported by the Natural Science Foundation of Guangdong Province(020586)Biography:GAO Shu-jing(1970-),female,Associate Professor,Phd student.
关键词
阶段结构
自食
时滞
全局渐近稳定
Stage structure
Time delay
Cannibalism
Global asymptotic stability
