期刊文献+

一类三种群捕食者-食饵扩散模型的稳定性 被引量:1

Stability of a Three-Species Predator-prey Diffusive Model
下载PDF
导出
摘要 讨论一个捕食者,2个食饵模型解的稳定性.应用线性化方法和Lyapunov函数方法分别给出了该模型正平衡点的局部和全局渐近稳定的充分条件. This paper discusses the stability of the solution to a one-predator two-prey model, and presents a sufficient condition for the local asymptotical stability of the model positive equilibrium point by linearization and a sufficient condition for the global asymptotical stability of the model positive equilibrium point by a Lyapunov function.
作者 张晓朋
出处 《重庆工学院学报(自然科学版)》 2008年第6期148-152,180,共6页 Journal of Chongqing Institute of Technology
关键词 反应扩散 捕食者-食饵模型 全局稳定性 reaction-diffusion predator-prey model global stability
  • 相关文献

参考文献6

  • 1[1]Yujuan Zhang,Lansun Chen.Dynamic complexity of a two-prey one-predator system with impulsive effect[J].Chaos Solitons and Fractals,2005(26):131-139.
  • 2[3]Ladyzenskaja O A,Solonnikov V A,Ural'ceva N N,Linear and Quasilinear Equations of Parabobic Type[Z].American Mathematical Soiety,Providence,RI,1968.
  • 3叶其孝 李正元.反应扩散方程引论[M].北京:科学出版社,1999..
  • 4[5]Henry D.Geometric Theory of Semilinear Parabolic Equations,lecture Notes in Mathematics[M].Berlin:Springer,1993.
  • 5[7]Brown K J,Dunne P C,Gardner R A.A semilinear parabolic syatem arising in the theory of superconductivity[J].Differential Equations,1981(40):232-252.
  • 6[8]Zhigui Lin,Pedersen M.Strategy in a diffusive food-chain model with Michaelis-Menten functional response[J].Chaos Solitans and Fractals,2004(57):421-433.

共引文献10

同被引文献3

引证文献1

二级引证文献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