捕食者感染疾病的捕食-被捕食模型

对一类捕食者染病且带有时滞的捕食-被捕食模型进行研究,分析了该模型的正不变性、边界平衡位置的局部和全局稳定性,证明了当时滞τ1+2τ适当小时,边界平衡位置是局部渐近稳定的,并且随着时滞的增大,平衡位置的稳定性态发生改变,系统在该处产生Hopf分支现象.

Predator-prey Model with Disease in the Predator Population

This paper studies a predator-prey model with disease and time delay for the predator population,analyzes the invariance of non-negativity,local stability of boundary equilibria and global stability,and demonstrates that boundary equilibrium is locally asymptotically stable when time delay is small enough,while the stability will change at a Hopf bifurcation as the delay increases.