本文研究了水生生态系统中种群间能产生抑制毒素的Volterra竞争模型,用上下解的方法讨论了稳态解的渐近行为,得到了系统存在唯—全局稳定正稳态解的充分条件.
A Volterra competing model arising in plankton allelopathy is considered. The asymptotical behavior of the solution is discussed using upper and lower solutions. A sufficient condition for the system to have a positive globally asymptotically stable solution is obtained.