一类两种群浮游生物相克模型平衡点稳定性分析
On the stability property of the equlibrium of a two species allelopathic phytoplankton model

针对Bandyopadhyay提出一类两种群浮游生物相克模型，进一步研究该模型非负平衡点的稳定性情况. 通过构造适当的Lyapunov函数得到了保证系统边界平衡点及内部平衡点全局吸引的充分性条件.
Bandyopadhyay proposed and studied a two species allelopathic phytoplankton model，in this paper，we further study the stability property of the nonnegative equilibrium. By constructing suitable Lyapunov functions，sufficient conditions which ensure the global attractivity of the positive equilibrium and the boundary equilibriums of the system are obtained