一类带有不育控制的单种群离散模型

A Discrete Single Species with Immunocontraception Control

建立了一类具有不育控制的害鼠种群的离散模型.首先利用3个Jury条件,得到平衡点的局部渐近稳定性的充分条件.其次利用Lypunov函数和细致分析法分别给出了零平衡点全局稳定及一致持续生存的充分条件.

A discrete single species model with immunocontraception control was established. Firstly, on basis of three conditions of Jury, a sufficient condition was derived for the local asymptotic stability of equilibria of the model. Secondly, globally asymptotic stability of zero equilibrium was proved. Finally, by using Lyapunov function and detailed analysis method, some appropriate conditions were derived for the permanence of the system.