期刊文献+

带收获率参数的生物模型稳定性分析 被引量:1

Stability Analysis of Biological Model with Harvest Rate Parameters
下载PDF
导出
摘要 为研究收获率参数对生物系统稳定性的影响,对捕食者-食饵模型引入收获率参数,对其进行稳定性分析,计算出捕食者带收获率参数的捕食系统的平衡点和发生Hopf分岔的条件,给出其在第一象限的平衡点定理和在特定值下的鞍结分岔图以及Hopf分岔图。 In order to study the influence of the harvest rate parameter on the stability of the biological system,the harvest rate parameter was introduced to the predator-prey model,and the stability analysis was performed to calculate the equilibrium point of the predator-predator system with the harvest rate parameter and the Hopf bifurcation.The conditions of the equilibrium point theorem in the first quadrant,the saddle knot bifurcation diagram and the Hopf bifurcation diagram under a specific value are given.
作者 傅仙发 FU Xianfa(Meizhouwan Vocational Technology College,Putian Fujian 351119,China)
出处 《保山学院学报》 2022年第5期65-68,共4页 JOURNAL OF BAOSHAN UNIVERSITY
基金 湄洲湾职业技术学院教师教育科研项目“带收获率参数的生物模型的稳定性分析”(项目编号:MZY1902)。
关键词 收获率 参数 捕食者-食饵模型 稳定性 Harvest Rate Parameter Predator-Prey Model Stability
  • 相关文献

参考文献5

二级参考文献30

  • 1肖海滨.双密度制约的Holling Ⅱ型捕食动力系统的定性分析[J].生物数学学报,2006,21(3):334-340. 被引量:12
  • 2Lorna S A,Polly W S. Hopf bifurcation in a predator- prey model. S-N Chow[C]//ICM(2002)satellite confer- ence, Kunming, 2002 : 30-34.
  • 3Kar A, Batabyal T K. Stability and bifurcation of a prey-predator model with time delay[J]. C R Biologies, 2009(332) :642-651.
  • 4Ma Zhihui, Li Wenlong, Yu Zhao. Effects of prey refuges on predator-prey model with a class of functional re- sponse: the role of refuges [J]. Mathematical Biosci- ences, 2009,218 : 73-79.
  • 5Debasis M, Amiya B R. Uniform persistence and glob- al attraetivity theorem for generalized prey-predator system with time delay[J]. Nonlinear Analysis, 1999, 38:59-74.
  • 6Khorozov E I. Versal Deformations of Equivariant Vector Fields in the Case of Symmetry of Order 2 and 3 [J]. Transactions of Petrovski Seminar, 1979, 5(1): 163-192.
  • 7Carr J, Sanders J A, Van, Gils S A. Nonresonant Bifurcations with Symmetry [J]. SIAM Journal on Mathematical Analysis, 1987, 18(3) : 579-591.
  • 8Knobloch E, Proctor M R E. Nonlinear Periodic Convection in Double-Diffusive Systems [J]. Journal of Fluid Mechanics, 1981, 108(1): 291 316.
  • 9Guckenheimer J, Holmes P J. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields [M]. New York: Sprirtger, 1983.
  • 10Chow S N, LI Cheng-zhi, WANG Duo. Normal Forms and Bifurcation of Planar Vector Fields [M]. Cambridge: Cambridge University Press, 1994.

共引文献10

同被引文献3

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部