机构地区: 杭州电子科技大学理学院,浙江杭州310018
出 处: 《杭州电子科技大学学报(自然科学版)》 2017年第4期90-93,共4页
摘 要: 研究了一类具有x^k型增长率的害虫综合治理模型.利用后继函数确立了周期解的存在性,运用类庞加莱准则分析了周期解的稳定性.最后使用MATLAB对系统进行数值模拟,验证了其理论结果. A new pest IPM strategy model with xk power growth rate is proposed and studied in this paper. Firstly, the existence of periodic solutions is established by means of successor functions. Then, the stability of periodic solution is analyzed via the analogue of Poincare criterion. Finally, the theoretical results of the paper are illustrated by MATLAB numerical simulations.