具有功能性反应函数x^(n/n+1)的捕食系统

The Predator-Prey System Possessing Functional Response Function That Is x^(n/(n+1))

讨论了具有功能性反应函数为x^(n/n+一)的捕食系统,其中n是任意正整数. 证明了此系统如存在正平衡点必唯一,且必全局生态稳定。并讨论了此唯一正平衡点的Hopf分支。

My thesis discusses the predator-prey system possessing functional response that is xn/n+1, and n is a positive integer. It testifies that if there is positive equilibrium point in the system , it must be the only one. There is a global ecological stability in the system too. The Hopf bifurcation of only positive equilibrium is also discussed here.