CAJ | 학술논문

研究了一类在周期环境下具有不同频率脉冲控制的综合害虫治理捕食系统模型，利用脉冲微分方程相关理论，分别给出了不同策略下害虫灭绝周期解的存在性与全局渐近稳定的充分条件，用数值模拟分析了系统参数、害虫和天敌的残存率、喷洒杀虫剂的次数等对临界值的影响。
연구료일류재주기배경하구유불동빈솔맥충공제적종합해충치리포식계통모형，이용맥충미분방정상관이론，분별급출료불동책략하해충멸절주기해적존재성여전국점근은정적충분조건，용수치모의분석료계통삼수、해충화천활적잔존솔、분쇄살충제적차수등대림계치적영향。
This paper tends to study the comprehensive pest prey-predator system model with impulsive control of different frequency under the condition of periodic environment. With the theory of impulsive differential equations, the existence of pest extinction periodic solution and the sufficient condition of global asymptotic stability were obtained under different strategies. By the numerical simulation result, the impact of system parameters, survival rate of pests and natural enemies, and the numbers of the spraying on the critical value were respectively analyzed.