摘要
讨论森林病虫害的离散模型.根据森林病虫害传播的特征,针对各分块区域之间已感病树不互相转移的情况,建立差分方程模型;讨论系统的平衡点,并对无病平衡点和地方病平衡点进行稳定性分析,得到地方病平衡点稳定的充分条件;用Matlab进行多种情况的数值模拟,验证了理论结果.
In this paper, the discrete model of forest insect pests is discussed. According to characteristics of the spread of forest insect pests, this paper introduces a discrete-time model with difference equations to reflect the situation that tree diseases did not diffuse across different patches. We discuss the equilibrium points of the system, analyse the stability of the endemic equilibrium, give the sufficient conditions for stability of endemic equilibrium, and then numeric simulation by Matlab.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第7期129-135,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(60874122)
关键词
病虫害
差分方程
地方病平衡点
稳定性
数值模拟
pests and diseases
difference equation
endemic equilibrium point
stability numeric simulation
