摘要
为研究水资源非线性损失(因自然或人为原因造成的损失)对植被生长的影响,依据生态模型建立了一种植被与水资源相互影响的微分方程模型.首先,对该模型平衡点的性态进行了分析;其次,利用Dulac判别法证明了模型的正平衡点是全局渐近稳定的,并给出了其生态意义;最后,对模型进行了数值仿真,并分析了水资源损失的变化对植被生长的影响.该研究结果可为合理调控水资源与植被的相互关系提供理论依据.
To study the impact of nonlinear loss of water resources(caused by natural or human factors)on vegetation growth,a differential equation model for the interaction between vegetation and water resources was established based on an ecological model.Firstly,the behavior of the equilibrium point of the model was analyzed;Secondly,the Dulac discriminant method was used to prove that the positive equilibrium point of the model was globally asymptotically stable,and the ecological significance was given;Finally,numerical simulations were conducted on the model to analyze the impact of changes in water resource loss on vegetation growth.The research results can provide theoretical basis for reasonable regulation of the relationship between water resources and vegetation.
作者
石志高
SHI Zhigao(Teaching and Research Department of Mathematics and Physics,Fujian Jiangxia University,Fuzhou 350108,China)
出处
《延边大学学报（自然科学版）》
CAS
2023年第2期149-154,共6页
Journal of Yanbian University（Natural Science Edition）
基金
福建省自然科学基金(2021J011228)。
关键词
微分方程
平衡点
非线性
水资源
植被
模拟仿真
全局渐近稳定
differential equation
equilibrium point
nonlinearity
water resources
vegetation
analog simulation
globally asymptotically stabl
