期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
On the Harvesting of the Predator-prey System with Stage Structure
摘要/Abstract
摘要：
研究一类对食饵种群和捕食者种群同时进行捕获的具有阶段结构的捕食-食饵系统.运用稳定性理论得到了系统各非负平衡点稳定的充分性条件;考虑系统的实际意义后研究了系统的经济平衡点;运用Pontryagin最大值原理,得到了系统的最优捕获策略;通过具体例子说明了所得结果的正确性.
Abstract：
A predator-prey system with stage structure and harvesting is proposed and studied.We first give a set of sufficient conditions which ensure the global stability of the nonnegative equilibriums of the system,study the bionomic equilibrium,and given sufficient conditions for the presence of bionomic equilibrium.Using the Pontryagin′s maximal principle,we obtain the optimal harvesting policy.Several examples are given to highlight the results.
关键词
Key words：
stage structure
;
predator-prey
;
global stability
;
optimal harvesting