濒危生物种群生长的动态特性及其调控方法

Dynamic Characteristics and Its Control for Population of Being in Imminent Danger

使用数学方法研究了表达南极蓝鲸、鳍鲸、野生信鸽等濒危生物种群的非临界退偿模型与临界退偿模型在人类开发过程中所呈现出来的动态特性及其调控方法·研究结果表明 ,对非临界退偿系统而言 ,采用投入比率E小于r(k -k0 ) /qk的线性状态反馈控制 :u(t) =qEx ,可以使种群的密度最终平衡在一个相对合理的水平上 ;对临界退偿系统而言 ,采用投入比率E满足kk0 /q <E <k/q的反馈控制 :u(t) =(rqE/k) (x -k0 ) ,可以使开发系统的增长率不再具有临界退偿性质 ,从而保证种群不会发生灭绝现象·

The dynamic characteristics and its control method for population with depensation model of being in imminent danger were studied by using mathematics analysis method during exploitation. The dynamic characteristics and its control method for population with depensation model of being in imminent danger were studied by mathematics analysis method during exploitation. The research shows that there exists a linear state feedback with E<r(k-k 0)/qk,such that the population of nocritical depensation model can balance at a suitable level. And there exists a linear feedback of (x-k 0),with,kk 0/q<E<k/q,such that the population of critical depensation model is not in depensations and couldn′t be extinct.