北华大学学报（自然科学版）2016，Vol.17Issue(4)：427-433,7.DOI:10.11713/j.issn.1009-4822.2016.04.002
具避难所的次线性型食饵-捕食收获模型
A Harvesting Prey-Predator Model with Shelter and Sub Linear Functional Response
摘要
Abstract
A harvesting prey-predator model with shelter and sub linear functional response are discussed. By applying the Hurwize criterion and Dulac criterion, the local and global behavior of equilibrium points of the system are analyzed, through the Pioncare-Bendixson ring region theorem, the limit cycle existence and uniqueness are proved, and the optimal harvesting strategy is obtained by using the Pontyagin maximum principle. The stabilizing effect of prey refuge is obtained,and the optimal harvesting strategy provides a practical value for the sustainable use of biological resources.关键词
避难所/次线性/平衡点/极限环/最优收获Key words
shelter/sub linear/equilibrium point/limit cycle/optimal harvesting分类
数理科学引用本文复制引用
童姗姗,牛玉俊..具避难所的次线性型食饵-捕食收获模型[J].北华大学学报（自然科学版）,2016,17(4):427-433,7.基金项目
国家自然科学基金项目(U1504105) （U1504105）
河南省科技攻关计划项目(122102210060) （122102210060）
南阳市软科学研究计划项目(RKX06) （RKX06）
