期刊文献+

一类具有非线性密度制约的偏利合作系统

A Class of Commensalism System with Nonlinear Density Dependence
下载PDF
导出
摘要 研究一类具有非线性密度制约的偏利合作系统,首先分析了系统的平衡点性态,其次给出了系统持久性以及正平衡点全局渐近稳定的结论,最后通过数值仿真验证所得结论是准确的,并给出了生态解释。 In this paper,a class of commensalism systems with nonlinear density dependence is studied.Firstly,the equilibrium behavior of the system is analyzed.Secondly,the persistence of the system and the global asymptotic stability of the positive equilibrium are given.Finally,the conclusion is verified to be accurate by numerical simulation,and the ecological explanation is given.
作者 石志高 SHI Zhigao(Teaching and Research Department of Mathematics and Physics,Fujian Jiangxia University,Fuzhou Fujian 350108,China)
出处 《莆田学院学报》 2023年第5期19-22,共4页 Journal of putian University
关键词 非线性密度制约 偏利合作系统 极限环 数值仿真 nonlinear density dependence commensalism system limit cycle numerical simulation
  • 相关文献

参考文献8

二级参考文献42

  • 1潘红卫.一类具相互干扰的Leslie捕食与被捕食系统的定性分析[J].长沙大学学报,2005,19(5):18-20. 被引量:2
  • 2郭红建.一类具有相互干扰的两种群捕食系统[J].信阳师范学院学报(自然科学版),2006,19(3):255-257. 被引量:5
  • 3Li M Y,Graef J R, Wang L C,et al. Global dynamic of SEIR model with varying total population size [J]. Mathematical Bio- sciences, 1999, 160:191-195.
  • 4蔡燧林,盛骤.常微分方程与稳定性理论.北京:高等教育出版社,1986.
  • 5ZHAO Y Z. Global behavior for a diffusive predator-prey system with Holling type II functional response [ J ]. Boundary Value Problems, 2012, 2012: 111.
  • 6ARDITI R, GINZBURG L R. Coupling in predator-prey dynamics: ratio-dependence [ J]. Journal of The Oretical Biolo- gy, 1989, 139: 311-326.
  • 7LESLIE P H, GOWER J C. The properties of a stochastic model for the predator-prey type of interaction between two spe- cies [J]. Biometrica, 1960, 47: 219-234.
  • 8CAO X T, CHEN L S. A note on the uniqueness of limit cycles in two species predator -prey system [ J ]. Ann of Diff Eqs, 1986, 2(4) : 415-417.
  • 9HSU S B, HWANG T W. Global stability for a class of predator-prey systems [J]. SIAMJ Appl Math, 1995,55: 763- 783.
  • 10HASSEL M P. Metual interference between searching insect parasites [J]. Anita Ecol, 1971, 40: 473-486.

共引文献10

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