In this paper, we mainly study some mathematical ecological modelsby the theory of monotone dynamical systems. In the second chapter, weintroduce some theorms of monotone dyanmical systems. In the thirdchapter, the asymptotic behavior of solution of a kind of quasi-monotonedelay equational systems is studiedo we weaken the condition of literature,give the sufficient conditons for the existence of global attractivity ofpositive equilibriumo So we make progress of it. In the forth chapter thecooperative systems in the cone of K_P is considered and the conclusionsof the common cone are extended, and the condition of global stability isobtained. In the fifth chapter, the monotone dynamical theory is used inthe four-dimensional ecological system, the sufficent condition of thepersistence is obtained. |