害鼠治理中一类在食饵中具有不育控制的捕食与被捕食模型

摘要

研究了一类食饵中具有不育控制的捕食与被捕食模型，讨论了模型解的有界性及零平衡点和正平衡点的局部稳定性，通过构造适当的Lyapunov函数并运用LaSalle’ s不变原理，证明了正平衡点的全局稳定性。%A class of predator-prey model with infertility control in the prey is studied. The boundness of model solution and local stability of zero equilibrium and positive equilibrium are discussed. By constructing appropriate Lyapunov function and LaSalle’ s invariance principle,the global asymptotic stability of positive equilibrium is proved.