摘要
基于森林中木材和非木材产品的开发现状,考虑甲虫与森林木材的相互作用关系建立生态数学模型。首先,分析该模型的动力学行为,运用常微分方程的定性理论分析系统平衡点的存在性以及稳定性条件;其次,研究该模型下的最优收获问题,选取收获努力量和对甲虫的人为消杀率为最优控制变量,求出最优解的表达式;最后,结合数值模拟给出具有实际意义的最优收获策略,为林业生态经济的可持续发展提供一定的理论依据。
Based on the development status of timber and non-timber products in forest,an ecological mathematical model was established considering the interaction between beetles and timber in the forest.Firstly,the dynamic behavior of the model is analyzed,and the existence and stability conditions of the equilibrium point are analyzed by using the qualitative theory of ordinary differential equation.Secondly,the optimal harvest problem under this model is studied,we selected the harvest effort and the artificial elimination rate of beetles as the optimal control variables,and then the expression of the optimal solution is obtained.Finally,combined with numerical simulation,the optimal harvest strategy with practical significance is given,which provides a certain theoretical basis for the sustainable development of forestry ecological economy.
作者
张雅宁
郝丽娜
张珊
ZHANG Yaning;HAO Lina;ZHANG Shan(School of Mathematics&Statistics,Changchun University of Technology,Changchun 130012,China)
出处
《长春工业大学学报》
CAS
2024年第1期44-51,共8页
Journal of Changchun University of Technology
基金
吉林省教育厅“十三五”科学技术研究项目(JJKH20170536KJ)
吉林省教育厅科学技术研究项目(JJKH20220662KJ)。
关键词
非线性收获
最优控制
可持续木材收获
森林甲虫
非木材产品
nonlinear harvest
optimal control
sustainable timber harvest
forest beetle
non-timber forest products
