学术
摘 要:
本文研究了两个互惠的捕食种群，其一具有饱和作用项，捕食同一食饵种群的反应扩散系统，通过构造上下解及单调序列，得到了该系统各类解的某些性质，其包括正静态解的存在性与全局吸引性，平凡解和半平凡解的稳定性与不稳定性等．[著者文摘]
文章出处:
《应用数学》-2005年18卷4期 -594-602页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2005）04-0594-09
Existence and Global Attractivity in a Two-cooperation-predator One-prey System with Diffusion
HEI Li-jun （Department of Mathematics, Tianjin University, Tianjin 300072,China）
Abstract:
This paper is concerned with a reaction-diffusion system that models the situation in which two cooperative predators with a saturating interaction term for one species feed on a same prey. Through suitable construction of upper and lower solutions and monotone sequences,some properties of the various solutions for this system are obtained. These include the existence and global attractivity of the positive steady-state solutions, stability and instability of the trivial and semitrivial solutions,and so on.[著者文摘]
Key words:
Sub and supersolutions ; Positive steady-state solution; Stability; Asymptotic behavior; Attractor
基金资助:
国家自然科学基金资助项目（10071048）,南开大学一天津大学刘徽应用数学中心资助项目（H10126）,天津大学青年教师基金资助项目（5110109）
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