Lu Lai1, Heming Bing2
1Department of mathematics, Xinyu University, Xinyu, Jiangxi, 338004, China
2Department of science, Shenyang Aerospace University, Liaoning, Shenyang, 110136, China
With the development of biomathematics, population dynamics model is more and more applied to the research and protection of biological species and the quantitative development and management of biological resources. It can be used to describe and reveal the development process of biological population and regulate and control the development trend of species. This paper mainly analyzes the stability of the equilibrium point of the continuous coexistence of the predator-prey model based on logistic growth, taking the typical relationship between snow rabbit and lynx in ecology as an example, it is obtained that the equilibrium point of the sustainable coexistence of the two populations is M (18272, 19727).
differential equation, stability, population prediction, population kinetic model
Lu Lai, Heming Bing. Application of Differential Equation in Population Stability Analysis. Academic Journal of Environment & Earth Science (2022) Vol. 4 Issue 1: 17-21. https://doi.org/10.25236/AJEE.2022.040104.
 Ma Zhi En. Mathematical Modeling and Research of Population Ecology [M]. Anhui: Anhui Education Press, 1996.
 Niu Lanlan, Zhang Tianyong, Ding Guodong. The Current Situation, Problem and Countermeasures of Ecological Repair, Problems in Mu Us Sands [J]. Soil and Water Conservation Research, 2006, 13(6):5.
 He Chun. Application of Malthus population model in Guangzhou population prediction [J]. Journal of Guangdong University of Technology, 2010, 27 (3): 4.
 Wang Xuan ginseng, Wei Yanhua, Dai Ning. Comparative study of determination and random Logistic population model [J] .Journal of Chongqing Normal University (Natural Science Edition), 2015, 32 (2): 88-94.
 Xgla B, Jxc A, Sin C, et al. New insights in stability analysis of delayed Lotka–Volterra systems – Science Direct [J]. Journal of the Franklin Institute, 2018, 355(17): 8683-8697.
 Ni Chunxia, Li Xuepeng. Reability of the bait with functional response - predator [J] .Journal of Huaiyin Teachers College (Natural Science Edition), 2010, 9 (001): 14-18.
 Lan Guojie, Fu Ying Jie, Wei Chunjin, et al. Random Predator - Prey Model with Nonlinear Prey Harvest [J]. Journal of Jimei University: Natural Science Edition, 2018, 23 (5): 10.
 Yang Haixia. Qualitative analysis of prey-predator harvest model with density constraint [J] .Journal of Lanzhou Institute of Arts and Sciences: Natural Science Edition, 2014 (3): 3.
 Ma Xi En, Zhou Yu Cang. Method of Severance and Stability of Ordinary Differential Equations [M]. Science Press, 2001.
 Xu Wenke, Liu Yang. Parameter Estimation of Predation and Being Virtual Seeds in Predation and Being Food [J]. Journal of Heilongjiang University, 2013 (5): 6.
 Wang Fuxichang, Zhang Lijuan, Yan Zhi, et al. Fitting Method for Prey - Predator Model [J] .G. Tessic Science, 2017, 37 (11): 4.