SHI Zhigao.A model study on the impact of nonlinear loss of water resources on vegetation growth[J].Journal of Yanbian University,2023,(02):149-154.
水资源非线性损失对植被生长影响的模型研究
- Title:
- A model study on the impact of nonlinear loss of water resources on vegetation growth
- Keywords:
- differential equation; equilibrium point; nonlinearity; water resources; vegetation; analog simulation; globally asymptotically stable
- 分类号:
- O193; O175.1
- 文献标志码:
- A
- 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.
- Abstract:
- 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.
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备注/Memo
收稿日期: 2023 04 08
基金项目: 福建省自然科学基金(2021J011228)
作者简介: 石志高(1983—),男,硕士,副教授,研究方向为微分方程及应用.