On the Dynamic Behavior of a Type of Exponential Three Populations Differential Ecosystem
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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维普
