Population dynamics,as an important branch of ecosystems,is increasingly receiving attention from scholars.Significant achievements have been made in the study of differential ecosystems of single and two popu-lations,but research on differential ecosystems of three populations has not yet been published.In this paper,we study a class of exponential 3 populations biological differential systems.Firstly,we use iterative methods and in-equality techniques to prove that every positive solution of the system is persistent and bounded.Secondly,the ex-istence of a positive equilibrium point of the system is proved,using fixed point theory.Finally,using lineariza-tion theory,Rouche theorem and Lyapunov stability theory,we provide sufficient conditions for the asymptotic stability of the positive equilibrium point of the ecosystem.The obtained conclusion extends the corresponding re-sults in references[20-24].
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