具有不同扩散率的两种群Ayala竞争模型的持续生存

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 山西省自然科学基金

Persistence of Two-Species Ayala Competitive Model with Different Diffusions

1.
Department of Mathematics, Shanxi Teacher's University, Linfen, Shanxi 041004, P R China;
2.
Engineering College of Trasportation, Tianjin 300161, P R China

摘要: 讨论了具有不同扩散率的两种群Ayala竞争系统之边界平衡点和正平衡点的稳定性,得出了相关种群动力学行为的结论.同时对有扩散和无扩散时种群的动力学行为进行了比较,说明了扩散对种群持续生存的影响.
- 非线性 /
- 竞争系统 /
- 扩散率 /
- 平衡点 /
- 持续生存
Abstract: In this paper,the stabilities of boundary equilibrium and positive equilibrium of two-species Ayala competitive systems with two different diffusions are discussed,and dynamic behaviors of species are obtained.At the same time,the dynamic behaviors between systems with diffusion and those without diffusion are compared.This shows the influence of diffusions on the persistence of species.
- nonlinear /
- competitive system /
- diffusion /
- equilibrium /
- persistence

[1]	Takeuchi Y.Conflict between the need to forage and the need to avoid competition:persistence of two-species model[J].Math Biosci,1990,99:181~184,188,192.
[2]	Takeuchi Y,Adachi N.Existence and bifurcation of stable equilibrium in two-prey,one-predator communities[J].Ball Math Biol,1983,45:877~900.
[3]	陈兰荪.数学模型与研究方法[M].北京:科学出版社,1988,15~16; 177~178.
[4]	Freedman H I,Waltwan P.Persistence in models of three interacting predator-prey populations[J].Math Biosci,1984,68:213~231.