数学杂志2018，Vol.38Issue(1)：91-102,12.
基于阈值策略带有扩散和不连续控制项的单物种生态模型的全局稳定性分析
GLOBAL STABILITY ANALYSIS FOR THE SINGLE-SPECIES ECOLOGICAL MODEL WITH THE DISPERSAL AND DISCONTINUOUS CONTROL TERM BASED ON THE THRESHOLD POLICY
摘要
Abstract
In this paper, the control problem of single-species ecological model with the dis-persal is investigated via the threshold policy (TP). The positive equilibrium's existence theorem for the new model is obtained by using the uniform persistence theorem and Filippov theorem. The sufficient conditions to the uniqueness and globally asymptotical stability of the positive equilib-rium are obtained based on the new model by applying graph theoretical approach of the coupled systems and constructing Lyapunov functions method. Related results of [6] are generalized.关键词
菲利波夫/单物种模型/斑块的扩散/全局稳定/阈值策略/微分包含Key words
Filippov/single species model/patchy dispersal/global stability/threshold pol-icy/differential inclusion分类
数理科学引用本文复制引用
高扬..基于阈值策略带有扩散和不连续控制项的单物种生态模型的全局稳定性分析[J].数学杂志,2018,38(1):91-102,12.基金项目
Supported by Natural Science Foundation of HeiLongJiang Province (QC2009C99) （QC2009C99）
Natural Science Foundation of Daqing Normal University for Doctor (12ZR09). （12ZR09）
