一类具有Beddington-DeAngelis型功能反应的非自治捕食-被捕食系统的渐近行为

Forwards and Pullback Behaviour of a Non-autonomous Predator-prey System with the Beddington-DeAngelis Functional Response

对具有Beddington-DeAngelis型功能反应的非自治捕食-被捕食系统,利用上下解、logistic方程以及比较原理研究解的渐近行为.首先考虑 t→∞时的渐近行为包括向前持久性及捕食者的灭亡,然后讨论 s→-∞时的渐近行为,包括拉回吸引子的存在性和解的拉回持久性.

For the non-autonomous predator-prey system with the Beddington-DeAngelis response, in this paper, we use the sub-supersolution, logistic function and comparison principle to explore the asymptotic behaviour of the solution. The time asymptotic behaviour as t→∞ is considered, including forward permanence and predator extinction. Then, we explore the asymptotic behaviour as s→-∞, including the existence of the pullback attractor and pullback permanence.