摘要
研究2种群竞争抑制系统,利用上下解的方法给出了抛物方程组解的存在性和惟一性的证明,讨论对应常微分方程组平衡解的全局稳定性,给出相应椭圆系统的Harnack不等式,并通过构造Lyapunov泛函说明在种群内部竞争激烈或扩散系数足够大的条件下,其对应的椭圆系统没有非常数解.
In this paper, the two-species competition-retrains system is studied. Making use of upper and lower solutions, this text proves the exsistence and uniqueness of the parabolic equations. Equilibrium solutions of the ODE system are discussed, and the Harnack inequality of the elliptic system is given. By the method of constructing the Lyapunov functional, it is shown that there are no non-constant solutions to the elliptic problem if inter-specific competitions are strong or if the diffusion rates of species are high enough.
出处
《扬州大学学报(自然科学版)》
CAS
CSCD
2004年第2期1-5,共5页
Journal of Yangzhou University:Natural Science Edition
基金
国家自然科学基金资助项目(10171088)